
Time bar (total: 43.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 8 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 9 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 10 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 11 |
| 80% | 49.9% | 12.5% | 0.2% | 0% | 37.4% | 0% | 12 |
Compiled 19 to 17 computations (10.5% saved)
| 1.1s | 8 256× | 0 | valid |
| 328.0ms | 2 172× | 0 | invalid |
ival-mult: 485.0ms (50.9% of total)ival-sqrt: 158.0ms (16.6% of total)ival-exp: 108.0ms (11.3% of total)ival-sub: 106.0ms (11.1% of total)ival-div: 72.0ms (7.6% of total)exact: 11.0ms (1.2% of total)ival-true: 8.0ms (0.8% of total)ival-assert: 5.0ms (0.5% of total)| 2× | egg-herbie |
| 1 466× | times-frac |
| 1 444× | unsub-neg |
| 1 344× | accelerator-lowering-fma.f32 |
| 1 344× | accelerator-lowering-fma.f64 |
| 936× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 248 |
| 1 | 192 | 242 |
| 2 | 495 | 240 |
| 3 | 1547 | 240 |
| 4 | 4036 | 240 |
| 5 | 6473 | 240 |
| 0 | 15 | 16 |
| 1 | 27 | 16 |
| 2 | 49 | 16 |
| 3 | 106 | 16 |
| 4 | 237 | 16 |
| 5 | 359 | 16 |
| 6 | 491 | 16 |
| 7 | 805 | 16 |
| 8 | 1492 | 16 |
| 9 | 1928 | 16 |
| 10 | 2062 | 16 |
| 11 | 2080 | 16 |
| 12 | 2080 | 16 |
| 13 | 2100 | 16 |
| 14 | 2108 | 16 |
| 15 | 2108 | 16 |
| 0 | 2108 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| Outputs |
|---|
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
| Inputs |
|---|
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
(* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
(* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
(* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2))) |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2))) |
(neg (* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))) |
(neg (* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2)))) |
(neg (* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2)))) |
(neg (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2)))) |
(* (* (- (* y 1/2) x) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
(* (* (- (* z 1/2) y) (sqrt (* x 2))) (exp (/ (* t t) 2))) |
(* (* (- (* t 1/2) y) (sqrt (* z 2))) (exp (/ (* x x) 2))) |
(* (* (- (* x 1/2) z) (sqrt (* y 2))) (exp (/ (* t t) 2))) |
(* (* (- (* x 1/2) t) (sqrt (* z 2))) (exp (/ (* y y) 2))) |
(* (* (- (* x 1/2) y) (sqrt (* t 2))) (exp (/ (* z z) 2))) |
| Outputs |
|---|
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
(* (- (* x 1/2) y) (* (sqrt (* z 2)) (pow (sqrt (exp t)) t))) |
(* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (- (* x -1/2) y))) |
(* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (+ (* x 1/2) y))) |
(* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2))) |
(* (- (* x 1/2) y) (* (pow (sqrt (exp t)) t) (sqrt (* z -2)))) |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2))) |
(* (- (* x 1/2) y) (* (sqrt (* z 2)) (pow (sqrt (exp t)) t))) |
(neg (* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))) |
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (+ (* x 1/2) y))) |
(neg (* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2)))) |
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (- (* x -1/2) y))) |
(neg (* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2)))) |
(* (pow (sqrt (exp t)) t) (* (sqrt (* z -2)) (+ y (* x -1/2)))) |
(neg (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2)))) |
(* (sqrt (* z 2)) (* (pow (sqrt (exp t)) t) (+ y (* x -1/2)))) |
(* (* (- (* y 1/2) x) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
(* (sqrt (* z 2)) (* (pow (sqrt (exp t)) t) (- (* 1/2 y) x))) |
(* (* (- (* z 1/2) y) (sqrt (* x 2))) (exp (/ (* t t) 2))) |
(* (pow (sqrt (exp t)) t) (* (- (* 1/2 z) y) (sqrt (* x 2)))) |
(* (* (- (* t 1/2) y) (sqrt (* z 2))) (exp (/ (* x x) 2))) |
(* (sqrt (* z 2)) (* (sqrt (pow (exp x) x)) (- (* 1/2 t) y))) |
(* (* (- (* x 1/2) z) (sqrt (* y 2))) (exp (/ (* t t) 2))) |
(* (- (* x 1/2) z) (* (pow (sqrt (exp t)) t) (sqrt (* y 2)))) |
(* (* (- (* x 1/2) t) (sqrt (* z 2))) (exp (/ (* y y) 2))) |
(* (sqrt (* z 2)) (* (- (* x 1/2) t) (sqrt (pow (exp y) y)))) |
(* (* (- (* x 1/2) y) (sqrt (* t 2))) (exp (/ (* z z) 2))) |
(* (- (* x 1/2) y) (* (sqrt (* 2 t)) (sqrt (pow (exp z) z)))) |
(abs t)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 0 | 1 | (-1.2302660934669576e-190 -2.347617572284799e+301 2.382013588645042e-281 15.36702882840721) | 0 | - | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 t t) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | u*o | 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 | 146 | |
| ↳ | (/.f64 (*.f64 t t) #s(literal 2 binary64)) | overflow | 67 | |
| ↳ | (*.f64 t t) | overflow | 67 | |
exp.f64 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | sensitivity | 1 | 0 |
| 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 |
| 56.0ms | 512× | 0 | valid |
Compiled 170 to 64 computations (62.4% saved)
ival-mult: 15.0ms (46.8% of total)ival-exp: 6.0ms (18.7% of total)ival-div: 4.0ms (12.5% of total)ival-sqrt: 4.0ms (12.5% of total)ival-sub: 3.0ms (9.4% of total)exact: 1.0ms (3.1% 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 |
|---|---|---|
| ▶ | 99.1% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
Compiled 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 1 344× | accelerator-lowering-fma.f32 |
| 1 344× | accelerator-lowering-fma.f64 |
| 922× | *-lowering-*.f32 |
| 922× | *-lowering-*.f64 |
| 416× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 60 |
| 1 | 27 | 60 |
| 2 | 49 | 60 |
| 3 | 106 | 60 |
| 4 | 237 | 60 |
| 5 | 359 | 60 |
| 6 | 491 | 60 |
| 7 | 805 | 60 |
| 8 | 1492 | 60 |
| 9 | 1928 | 60 |
| 10 | 2062 | 60 |
| 11 | 2080 | 60 |
| 12 | 2080 | 60 |
| 13 | 2100 | 60 |
| 14 | 2108 | 60 |
| 15 | 2108 | 60 |
| 0 | 2108 | 60 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(- (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(sqrt (* z 2)) |
(* z 2) |
z |
2 |
(exp (/ (* t t) 2)) |
(/ (* t t) 2) |
(* t t) |
t |
| Outputs |
|---|
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (* x 1/2) y) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(* x 1/2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
y |
(sqrt (* z 2)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
(exp (/ (* t t) 2)) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(/ (* t t) 2) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(* t t) |
(*.f64 t t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 26.0ms | 256× | 0 | valid |
Compiled 64 to 17 computations (73.4% saved)
ival-mult: 7.0ms (46.9% of total)ival-div: 2.0ms (13.4% of total)ival-exp: 2.0ms (13.4% of total)ival-sqrt: 2.0ms (13.4% of total)ival-sub: 1.0ms (6.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (* x 1/2) y)> |
#<alt (sqrt (* z 2))> |
#<alt (* z 2)> |
#<alt (exp (/ (* t t) 2))> |
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))> |
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))> |
| Outputs |
|---|
#<alt (* -1 y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (* -1 y)> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow t 2)))> |
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))> |
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))> |
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))> |
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))> |
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))> |
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))> |
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))> |
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | t | @ | 0 | (exp (/ (* t t) 2)) |
| 3.0ms | t | @ | inf | (exp (/ (* t t) 2)) |
| 2.0ms | y | @ | inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 1.0ms | z | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 1.0ms | x | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 1× | batch-egg-rewrite |
| 6 922× | accelerator-lowering-fma.f32 |
| 6 922× | accelerator-lowering-fma.f64 |
| 4 292× | /-lowering-/.f32 |
| 4 292× | /-lowering-/.f64 |
| 3 846× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 43 |
| 1 | 54 | 42 |
| 2 | 276 | 42 |
| 3 | 2343 | 42 |
| 0 | 8608 | 42 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* x 1/2) y) |
(sqrt (* z 2)) |
(* z 2) |
(exp (/ (* t t) 2)) |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+.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 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x #s(literal 1/2 binary64)))) |
(-.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 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.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 0 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.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 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y 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)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.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))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.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 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.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 y y (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))) (fma.f64 y y (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y 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)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))) (fma.f64 y y (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 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 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 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 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64)) (*.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)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.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))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.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)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.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))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))) |
(-.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) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))) (/.f64 (*.f64 y (*.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 y y))))) |
(-.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 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.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 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.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))) (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))) (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 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 y y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
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(*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x (*.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)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (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 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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 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 (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.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 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
| 1× | egg-herbie |
| 18 894× | accelerator-lowering-fma.f32 |
| 18 894× | accelerator-lowering-fma.f64 |
| 6 258× | *-lowering-*.f32 |
| 6 258× | *-lowering-*.f64 |
| 4 660× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 2123 |
| 1 | 456 | 1644 |
| 2 | 1581 | 1551 |
| 3 | 4468 | 1548 |
| 0 | 8854 | 1536 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
| Outputs |
|---|
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- (* 1/2 x) y) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(- (* 1/2 x) y) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(- (* 1/2 x) y) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(* -1 (* x (- (/ y x) 1/2))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* x (- (/ y x) 1/2))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* x (- (/ y x) 1/2))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* 1/2 x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64))))) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #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))) |
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(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64)))))) |
Compiled 20 848 to 1 673 computations (92% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 546 | 16 | 562 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 547 | 16 | 563 |
| Status | Accuracy | Program |
|---|---|---|
| 88.9% | (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 99.8% | (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))))) | |
| 49.4% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) | |
| ▶ | 76.7% | (*.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 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) |
| ▶ | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
| 31.9% | (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (*.f64 y (*.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 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 91.7% | (*.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) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| ▶ | 89.2% | (*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| 80.2% | (*.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))) | |
| 99.1% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t))) | |
| ▶ | 99.1% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
| ▶ | 49.6% | (*.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))))) | |
| 89.1% | (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) | |
| 83.0% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))) |
Compiled 842 to 556 computations (34% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 64 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 64 | (*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | 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 | (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) |
| ✓ | 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 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
| 11 334× | accelerator-lowering-fma.f32 |
| 11 334× | accelerator-lowering-fma.f64 |
| 3 446× | *-lowering-*.f32 |
| 3 446× | *-lowering-*.f64 |
| 3 116× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 359 |
| 1 | 97 | 355 |
| 2 | 253 | 353 |
| 3 | 886 | 353 |
| 4 | 2590 | 353 |
| 5 | 5760 | 353 |
| 0 | 8105 | 343 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- (* x 1/2) y) (sqrt (* (* z 2) (exp (* t t))))) |
(- (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(sqrt (* (* z 2) (exp (* t t)))) |
(* (* z 2) (exp (* t t))) |
(* z 2) |
z |
2 |
(exp (* t t)) |
(* t t) |
t |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(- (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(sqrt (* z 2)) |
(* z 2) |
z |
2 |
1 |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(- (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(sqrt (* z 2)) |
(* z 2) |
z |
2 |
(+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1) |
t |
(* t (+ (* (* t t) 1/8) 1/2)) |
(+ (* (* t t) 1/8) 1/2) |
(* t t) |
1/8 |
1 |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* 1/2 (* t t)))) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(- (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(sqrt (* z 2)) |
(* z 2) |
z |
2 |
(exp (* 1/2 (* t t))) |
(* 1/2 (* t t)) |
(* t t) |
t |
(* (- (* x (* x 1/4)) (* y y)) (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))) |
(- (* x (* x 1/4)) (* y y)) |
(* x (* x 1/4)) |
x |
(* x 1/4) |
1/4 |
(* y y) |
y |
(* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))) |
(/ 1 (+ (* x 1/2) y)) |
1 |
(+ (* x 1/2) y) |
1/2 |
(sqrt (* (* z 2) (exp (* t t)))) |
(* (* z 2) (exp (* t t))) |
(* z 2) |
z |
2 |
(exp (* t t)) |
(* t t) |
t |
| Outputs |
|---|
(* (- (* x 1/2) y) (sqrt (* (* z 2) (exp (* t t))))) |
(*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
(- (* x 1/2) y) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(* x 1/2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
y |
(sqrt (* (* z 2) (exp (* t t)))) |
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) |
(* (* z 2) (exp (* t t))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
(exp (* t t)) |
(exp.f64 (*.f64 t t)) |
(* t t) |
(*.f64 t t) |
t |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1) |
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (* x 1/2) y) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(* x 1/2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
y |
(sqrt (* z 2)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
1 |
#s(literal 1 binary64) |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (* x 1/2) y) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(* x 1/2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
y |
(sqrt (* z 2)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
(+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1) |
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
t |
(* t (+ (* (* t t) 1/8) 1/2)) |
(*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(+ (* (* t t) 1/8) 1/2) |
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(* t t) |
(*.f64 t t) |
1/8 |
#s(literal 1/8 binary64) |
1 |
#s(literal 1 binary64) |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* 1/2 (* t t)))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (* x 1/2) y) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(* x 1/2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
y |
(sqrt (* z 2)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
(exp (* 1/2 (* t t))) |
(exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))) |
(* 1/2 (* t t)) |
(*.f64 t (*.f64 #s(literal 1/2 binary64) t)) |
(* t t) |
(*.f64 t t) |
t |
(* (- (* x (* x 1/4)) (* y y)) (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(- (* x (* x 1/4)) (* y y)) |
(-.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(* x (* x 1/4)) |
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
x |
(* x 1/4) |
(*.f64 x #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(* y y) |
(fma.f64 y y #s(literal 0 binary64)) |
y |
(* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/ 1 (+ (* x 1/2) y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) |
1 |
#s(literal 1 binary64) |
(+ (* x 1/2) y) |
(fma.f64 x #s(literal 1/2 binary64) y) |
1/2 |
#s(literal 1/2 binary64) |
(sqrt (* (* z 2) (exp (* t t)))) |
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) |
(* (* z 2) (exp (* t t))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
(exp (* t t)) |
(exp.f64 (*.f64 t t)) |
(* t t) |
(*.f64 t t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 t t)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
| ✓ | accuracy | 94.7% | (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) |
| ✓ | accuracy | 81.5% | (*.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 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
| ✓ | accuracy | 99.9% | (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 97.7% | (*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 t t)) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
| 227.0ms | 256× | 0 | valid |
Compiled 353 to 39 computations (89% saved)
ival-exp: 82.0ms (42.6% of total)ival-sub: 76.0ms (39.5% of total)ival-mult: 25.0ms (13% of total)ival-add: 3.0ms (1.6% of total)ival-sqrt: 3.0ms (1.6% of total)ival-div: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (- (* x 1/2) y) (sqrt (* (* z 2) (exp (* t t)))))> |
#<alt (- (* x 1/2) y)> |
#<alt (sqrt (* (* z 2) (exp (* t t))))> |
#<alt (* (* z 2) (exp (* t t)))> |
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)> |
#<alt (sqrt (* z 2))> |
#<alt (* z 2)> |
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1))> |
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* 1/2 (* t t))))> |
#<alt (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))> |
#<alt (* (- (* x (* x 1/4)) (* y y)) (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))))> |
#<alt (- (* x (* x 1/4)) (* y y))> |
#<alt (* x 1/4)> |
#<alt (exp (* t t))> |
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))> |
#<alt (* x 1/2)> |
#<alt (* t (+ (* (* t t) 1/8) 1/2))> |
#<alt (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)> |
#<alt (exp (* 1/2 (* t t)))> |
| Outputs |
|---|
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))> |
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (* -1 y)> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))> |
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))> |
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 z)> |
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))> |
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))> |
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* -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 (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))> |
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#<alt (+ (* 1/2 (* (/ (* (pow t 2) (sqrt 2)) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))))> |
#<alt (+ (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))> |
#<alt (+ (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x)))))> |
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (+ (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))))> |
#<alt (+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))> |
#<alt (+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/4 (pow x 2)) (pow y 2))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))> |
#<alt (* -1 (pow y 2))> |
#<alt (- (* 1/4 (pow x 2)) (pow y 2))> |
#<alt (- (* 1/4 (pow x 2)) (pow y 2))> |
#<alt (- (* 1/4 (pow x 2)) (pow y 2))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))> |
#<alt (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))> |
#<alt (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))> |
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))> |
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))> |
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))> |
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt 1> |
#<alt (+ 1 (pow t 2))> |
#<alt (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))> |
#<alt (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (* -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 (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 t)> |
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))> |
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))> |
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<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 (* 1/8 (pow t 2)))))> |
#<alt (* 1/8 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))> |
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))> |
#<alt (* 1/8 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))> |
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))> |
#<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)))> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | z | @ | 0 | (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))) |
| 24.0ms | z | @ | 0 | (sqrt (* z 2)) |
| 7.0ms | x | @ | 0 | (* (- (* x (* x 1/4)) (* y y)) (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))) |
| 3.0ms | z | @ | -inf | (* (- (* x 1/2) y) (sqrt (* (* z 2) (exp (* t t))))) |
| 2.0ms | z | @ | 0 | (* (- (* x (* x 1/4)) (* y y)) (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))) |
| 1× | batch-egg-rewrite |
| 8 440× | accelerator-lowering-fma.f32 |
| 8 440× | accelerator-lowering-fma.f64 |
| 5 516× | *-lowering-*.f32 |
| 5 516× | *-lowering-*.f64 |
| 4 234× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 182 |
| 1 | 166 | 179 |
| 2 | 1194 | 179 |
| 0 | 8945 | 173 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- (* x 1/2) y) (sqrt (* (* z 2) (exp (* t t))))) |
(- (* x 1/2) y) |
(sqrt (* (* z 2) (exp (* t t)))) |
(* (* z 2) (exp (* t t))) |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1) |
(sqrt (* z 2)) |
(* z 2) |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)) |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* 1/2 (* t t)))) |
(* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))) |
(* (- (* x (* x 1/4)) (* y y)) (* (/ 1 (+ (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))) |
(- (* x (* x 1/4)) (* y y)) |
(* x 1/4) |
(exp (* t t)) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(* x 1/2) |
(* t (+ (* (* t t) 1/8) 1/2)) |
(+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1) |
(exp (* 1/2 (* t t))) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (-.f64 #s(literal 0 binary64) y))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y)))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 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 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 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))) (fma.f64 (/.f64 #s(literal 1 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 #s(literal 1 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 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 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 #s(literal 1 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))))))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.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 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (*.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)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.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 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 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 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)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 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 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.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 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 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 #s(literal 0 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 #s(literal 0 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 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 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))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 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 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.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 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 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 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 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 #s(literal 1 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 0 binary64) (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.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 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))) |
(*.f64 (*.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 #s(literal 0 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 #s(literal 1 binary64) (-.f64 #s(literal 0 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 binary64) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 t t))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t))) t)) |
(fabs.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(sqrt.f64 (exp.f64 (*.f64 t t))) |
(pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t t)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) t) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) |
(*.f64 (pow.f64 (exp.f64 t) (/.f64 (*.f64 #s(literal 1/2 binary64) t) #s(literal 2 binary64))) (pow.f64 (exp.f64 t) (/.f64 (*.f64 #s(literal 1/2 binary64) t) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) (*.f64 #s(literal 1/2 binary64) t)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) (*.f64 #s(literal 1/2 binary64) t))) |
| 1× | egg-herbie |
| 11 078× | accelerator-lowering-fma.f32 |
| 11 078× | accelerator-lowering-fma.f64 |
| 9 622× | *-lowering-*.f32 |
| 9 622× | *-lowering-*.f64 |
| 2 696× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 543 | 10128 |
| 1 | 1784 | 8909 |
| 2 | 6266 | 8402 |
| 0 | 8309 | 8052 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
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(* 2 z) |
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(* 2 z) |
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(* 2 z) |
(* 2 z) |
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(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
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(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
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(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z))))) |
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(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) y) (sqrt z))))) |
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(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
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(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y)))))) |
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(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
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(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))) |
(* 1/8 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
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(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
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(- (* 1/4 (pow x 2)) (pow y 2)) |
(- (* 1/4 (pow x 2)) (pow y 2)) |
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(* 1/4 x) |
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(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
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1 |
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(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
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(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 t) |
(* t (+ 1/2 (* 1/8 (pow t 2)))) |
(* t (+ 1/2 (* 1/8 (pow t 2)))) |
(* t (+ 1/2 (* 1/8 (pow t 2)))) |
(* 1/8 (pow t 3)) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* 1/8 (pow t 3)) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (*.f64 t t) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 z #s(literal 1/6 binary64) (*.f64 z #s(literal -1/8 binary64))))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- (* 1/2 x) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(- (* 1/2 x) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(- (* 1/2 x) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.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))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* -1 (* x (- (/ y x) 1/2))) |
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(* 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) |
(* 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 t) |
(*.f64 t #s(literal 1/2 binary64)) |
(* t (+ 1/2 (* 1/8 (pow t 2)))) |
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(* t (+ 1/2 (* 1/8 (pow t 2)))) |
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(* t (+ 1/2 (* 1/8 (pow t 2)))) |
(*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(* 1/8 (pow t 3)) |
(*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))) |
(* 1/8 (pow t 3)) |
(*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 t (*.f64 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 (* 1/8 (pow t 2))))) |
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(* 1/8 (pow t 4)) |
(*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64)) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64)) |
(* 1/8 (pow t 4)) |
(*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64)) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
Compiled 115 760 to 4 362 computations (96.2% saved)
45 alts after pruning (45 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 043 | 42 | 3 085 |
| Fresh | 8 | 3 | 11 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 3 056 | 45 | 3 101 |
| Status | Accuracy | Program |
|---|---|---|
| 90.3% | (fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) | |
| 88.9% | (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 21.0% | (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) | |
| 47.6% | (/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 52.5% | (/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 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)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 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))) | |
| 16.8% | (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| 49.6% | (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 89.2% | (*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) | |
| 43.7% | (*.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) z)))) | |
| 90.3% | (*.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 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 49.4% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) | |
| 91.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 79.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) | |
| ▶ | 99.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))) |
| ▶ | 88.0% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
| 49.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 57.0% | (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) | |
| 66.0% | (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) | |
| 90.3% | (*.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 91.7% | (*.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) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 51.1% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (/.f64 (*.f64 t (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))))) #s(literal 1 binary64))) | |
| 88.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) | |
| 80.2% | (*.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))) | |
| 99.1% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t))) | |
| 50.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))))) | |
| 49.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 54.4% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| ▶ | 27.2% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 17.1% | (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 53.5% | (*.f64 (*.f64 (*.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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 51.4% | (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 51.5% | (*.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)) | |
| 49.0% | (*.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)) | |
| 50.0% | (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))) | |
| 51.4% | (*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 60.6% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) | |
| 24.8% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 54.3% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| 24.8% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) | |
| 51.4% | (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 63.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) | |
| 49.5% | (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 27.1% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) | |
| 60.3% | (*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64))))) | |
| 50.0% | (*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x)))) |
Compiled 2 264 to 1 496 computations (33.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 64 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (*.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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 1344 | (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
| ✓ | cost-diff | 2112 | (*.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)))) |
| ✓ | cost-diff | 0 | (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 z) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) y) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 7 100× | accelerator-lowering-fma.f32 |
| 7 100× | accelerator-lowering-fma.f64 |
| 4 382× | *-lowering-*.f32 |
| 4 382× | *-lowering-*.f64 |
| 1 790× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 343 |
| 1 | 120 | 313 |
| 2 | 390 | 309 |
| 3 | 1611 | 308 |
| 4 | 5386 | 308 |
| 0 | 8091 | 291 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t)))) |
(- (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(sqrt (* (* z 2) (pow (exp t) t))) |
(* (* z 2) (pow (exp t) t)) |
(* z 2) |
z |
2 |
(pow (exp t) t) |
(exp t) |
t |
(* (* (- 0 y) (sqrt (* z 2))) 1) |
(* (- 0 y) (sqrt (* z 2))) |
(- 0 y) |
0 |
y |
(sqrt (* z 2)) |
(* z 2) |
z |
2 |
1 |
(* (- (* x 1/2) y) (sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2)))) |
(- (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2))) |
(* z (+ (* (+ (* t t) 2) (* t t)) 2)) |
z |
(+ (* (+ (* t t) 2) (* t t)) 2) |
(+ (* t t) 2) |
t |
2 |
(* t t) |
(* (* (sqrt 2) (neg (* (sqrt z) y))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)) |
(* (sqrt 2) (neg (* (sqrt z) y))) |
(sqrt 2) |
2 |
(neg (* (sqrt z) y)) |
(* (sqrt z) y) |
(sqrt z) |
z |
y |
(+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1) |
t |
(* t (+ (* (* t t) 1/8) 1/2)) |
(+ (* (* t t) 1/8) 1/2) |
(* t t) |
1/8 |
1/2 |
1 |
(* (* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1) |
(* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) |
(* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) |
(/ 1 (- (* x 1/2) y)) |
1 |
(- (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))) |
(sqrt (* z 2)) |
(* z 2) |
z |
2 |
| Outputs |
|---|
(* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t)))) |
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))) #s(literal 0 binary64)) |
(- (* x 1/2) y) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(* x 1/2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
y |
(sqrt (* (* z 2) (pow (exp t) t))) |
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))) |
(* (* z 2) (pow (exp t) t)) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
(pow (exp t) t) |
(pow.f64 (exp.f64 t) t) |
(exp t) |
(exp.f64 t) |
t |
(* (* (- 0 y) (sqrt (* z 2))) 1) |
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* (- 0 y) (sqrt (* z 2))) |
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(- 0 y) |
(-.f64 #s(literal 0 binary64) y) |
0 |
#s(literal 0 binary64) |
y |
(sqrt (* z 2)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
1 |
#s(literal 1 binary64) |
(* (- (* x 1/2) y) (sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2)))) |
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(- (* x 1/2) y) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(* x 1/2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
y |
(sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2))) |
(sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(* z (+ (* (+ (* t t) 2) (* t t)) 2)) |
(*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))) |
z |
(+ (* (+ (* t t) 2) (* t t)) 2) |
(fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)) |
(+ (* t t) 2) |
(fma.f64 t t #s(literal 2 binary64)) |
t |
2 |
#s(literal 2 binary64) |
(* t t) |
(*.f64 t t) |
(* (* (sqrt 2) (neg (* (sqrt z) y))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 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)))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (sqrt 2) (neg (* (sqrt z) y))) |
(fma.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(neg (* (sqrt z) y)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 0 binary64)) |
(* (sqrt z) y) |
(fma.f64 y (sqrt.f64 z) #s(literal 0 binary64)) |
(sqrt z) |
(sqrt.f64 z) |
z |
y |
(+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1) |
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
t |
(* t (+ (* (* t t) 1/8) 1/2)) |
(*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(+ (* (* t t) 1/8) 1/2) |
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(* t t) |
(*.f64 t t) |
1/8 |
#s(literal 1/8 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
(* (* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1) |
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) |
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(/ 1 (- (* x 1/2) y)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
1 |
#s(literal 1 binary64) |
(- (* x 1/2) y) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(* x 1/2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
y |
(/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))) |
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y) #s(literal 0 binary64)) |
(sqrt (* z 2)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | accuracy | 99.7% | (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 54.4% | (*.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)))) |
| ✓ | accuracy | 99.9% | (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (sqrt.f64 z) y) |
| ✓ | accuracy | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
| ✓ | accuracy | 93.2% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)) |
| ✓ | accuracy | 98.3% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
| ✓ | accuracy | 96.3% | (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))) |
| ✓ | accuracy | 84.8% | (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))) |
| ✓ | accuracy | 100.0% | (exp.f64 t) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))) |
| 115.0ms | 256× | 0 | valid |
Compiled 353 to 46 computations (87% saved)
ival-mult: 33.0ms (39.6% of total)ival-div: 26.0ms (31.2% of total)ival-sqrt: 8.0ms (9.6% of total)ival-pow: 6.0ms (7.2% of total)ival-add: 5.0ms (6% of total)ival-exp: 2.0ms (2.4% of total)ival-sub: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (* x 1/2) y)> |
#<alt (sqrt (* (* z 2) (pow (exp t) t)))> |
#<alt (* (* z 2) (pow (exp t) t))> |
#<alt (* z 2)> |
#<alt (* (* (- 0 y) (sqrt (* z 2))) 1)> |
#<alt (- 0 y)> |
#<alt (sqrt (* z 2))> |
#<alt (sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2)))> |
#<alt (* z (+ (* (+ (* t t) 2) (* t t)) 2))> |
#<alt (+ (* (+ (* t t) 2) (* t t)) 2)> |
#<alt (* (sqrt 2) (neg (* (sqrt z) y)))> |
#<alt (sqrt 2)> |
#<alt (sqrt z)> |
#<alt (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)> |
#<alt (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))))> |
#<alt (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))> |
#<alt (* (* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1)> |
#<alt (/ 1 (- (* x 1/2) y))> |
#<alt (* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t))))> |
#<alt (exp t)> |
#<alt (* (- 0 y) (sqrt (* z 2)))> |
#<alt (* (- (* x 1/2) y) (sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2))))> |
#<alt (* (* (sqrt 2) (neg (* (sqrt z) y))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1))> |
#<alt (* (sqrt z) y)> |
#<alt (* t (+ (* (* t t) 1/8) 1/2))> |
#<alt (* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2)))> |
| Outputs |
|---|
#<alt (* -1 y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (* -1 y)> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))> |
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))> |
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 z)> |
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))> |
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))> |
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* -1 (* (* y (sqrt 2)) (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 (* -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 (* -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)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 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 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))> |
#<alt (* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (pow (sqrt -1) 2)))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (+ (* (sqrt z) (sqrt 2)) (* (/ (pow t 2) (sqrt 2)) (sqrt z)))> |
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- z (/ z (pow (sqrt 2) 2)))) (sqrt 2)) (sqrt (/ 1 z)))) (* (sqrt z) (/ 1 (sqrt 2))))))> |
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* (sqrt z) (/ 1 (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (- z (/ z (pow (sqrt 2) 2))) (sqrt 2)))) (* 1/2 (* (/ (* (pow t 2) (- (/ z (pow (sqrt 2) 4)) (/ z (pow (sqrt 2) 2)))) (sqrt 2)) (sqrt (/ 1 z)))))))))> |
#<alt (* (pow t 2) (sqrt z))> |
#<alt (* (pow t 2) (+ (sqrt z) (* (/ 1 (pow t 2)) (sqrt z))))> |
#<alt (* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z)))))> |
#<alt (* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- z (* 2 z)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z))))))> |
#<alt (* (pow t 2) (sqrt z))> |
#<alt (* (pow t 2) (+ (sqrt z) (* (/ 1 (pow t 2)) (sqrt z))))> |
#<alt (* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z)))))> |
#<alt (* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- z (* 2 z)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z))))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))> |
#<alt (* 2 z)> |
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))> |
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))> |
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))> |
#<alt (* (pow t 4) z)> |
#<alt (* (pow t 4) (+ z (* 2 (/ z (pow t 2)))))> |
#<alt (* (pow t 4) (+ z (+ (* 2 (/ z (pow t 2))) (* 2 (/ z (pow t 4))))))> |
#<alt (* (pow t 4) (+ z (+ (* 2 (/ z (pow t 2))) (* 2 (/ z (pow t 4))))))> |
#<alt (* (pow t 4) z)> |
#<alt (* (pow t 4) (+ z (* 2 (/ z (pow t 2)))))> |
#<alt (* (pow t 4) (+ z (+ (* 2 (/ z (pow t 2))) (* 2 (/ z (pow t 4))))))> |
#<alt (* (pow t 4) (+ z (+ (* 2 (/ z (pow t 2))) (* 2 (/ z (pow t 4))))))> |
#<alt 2> |
#<alt (+ 2 (* 2 (pow t 2)))> |
#<alt (+ 2 (* (pow t 2) (+ 2 (pow t 2))))> |
#<alt (+ 2 (* (pow t 2) (+ 2 (pow t 2))))> |
#<alt (pow t 4)> |
#<alt (* (pow t 4) (+ 1 (* 2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 4) (+ 1 (+ (* 2 (/ 1 (pow t 2))) (/ 2 (pow t 4)))))> |
#<alt (* (pow t 4) (+ 1 (+ (* 2 (/ 1 (pow t 2))) (/ 2 (pow t 4)))))> |
#<alt (pow t 4)> |
#<alt (* (pow t 4) (+ 1 (* 2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 4) (+ 1 (+ (* 2 (/ 1 (pow t 2))) (/ 2 (pow t 4)))))> |
#<alt (* (pow t 4) (+ 1 (+ (* 2 (/ 1 (pow t 2))) (/ 2 (pow t 4)))))> |
#<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 (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))> |
#<alt (* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))> |
#<alt (* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))> |
#<alt (* (* y (* (pow (sqrt -1) 2) (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 (* -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 (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt 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 (* 1/8 (pow t 2)))))> |
#<alt (* 1/8 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))> |
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))> |
#<alt (* 1/8 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))> |
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))> |
#<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 (pow y 2)> |
#<alt (+ (* -1 (* x y)) (pow y 2))> |
#<alt (+ (* x (+ (* -1 y) (* 1/4 x))) (pow y 2))> |
#<alt (+ (* x (+ (* -1 y) (* 1/4 x))) (pow y 2))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ y x))))> |
#<alt (* (pow x 2) (+ 1/4 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/4 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ y x))))> |
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))))> |
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (+ (* -1 (* x y)) (* 1/4 (pow x 2)))> |
#<alt (+ (* 1/4 (pow x 2)) (* y (+ y (* -1 x))))> |
#<alt (+ (* 1/4 (pow x 2)) (* y (+ y (* -1 x))))> |
#<alt (pow y 2)> |
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#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))> |
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ x y))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1/4 (/ (pow x 2) y))) y))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1/4 (/ (pow x 2) y))) 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)))> |
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#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
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#<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)))> |
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#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
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#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
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#<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 (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 (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))> |
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt 1> |
#<alt (+ 1 t)> |
#<alt (+ 1 (* t (+ 1 (* 1/2 t))))> |
#<alt (+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))> |
#<alt (exp t)> |
#<alt (exp t)> |
#<alt (exp t)> |
#<alt (exp t)> |
#<alt (exp t)> |
#<alt (exp t)> |
#<alt (exp t)> |
#<alt (exp t)> |
#<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 (* -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 (* -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 (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))> |
#<alt (+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))> |
#<alt (+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))> |
#<alt (+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))> |
#<alt (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))> |
#<alt (* x (+ (* -1 (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))> |
#<alt (* x (+ (* -1 (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))> |
#<alt (* x (+ (* -1 (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))> |
#<alt (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))> |
#<alt (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))> |
#<alt (+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))> |
#<alt (+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))> |
#<alt (+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))> |
#<alt (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))> |
#<alt (* y (+ (* -1 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* 1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))> |
#<alt (* y (+ (* -1 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* 1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))> |
#<alt (* y (+ (* -1 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* 1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))> |
#<alt (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))> |
#<alt (* -1 (* y (+ (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* -1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))))> |
#<alt (* -1 (* y (+ (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* -1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))))> |
#<alt (* -1 (* y (+ (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* -1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y))> |
#<alt (* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (/ (* (pow t 2) (- (* 1/2 x) y)) (sqrt 2)) (sqrt z)))> |
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (* (- z (/ z (pow (sqrt 2) 2))) (- (* 1/2 x) y))) (sqrt 2)) (sqrt (/ 1 z)))) (* (sqrt z) (/ (- (* 1/2 x) y) (sqrt 2))))))> |
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* (sqrt z) (/ (- (* 1/2 x) y) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (- z (/ z (pow (sqrt 2) 2))) (- (* 1/2 x) y)) (sqrt 2)))) (* 1/2 (* (/ (* (pow t 2) (* (- (* 1/2 x) y) (- (/ z (pow (sqrt 2) 4)) (/ z (pow (sqrt 2) 2))))) (sqrt 2)) (sqrt (/ 1 z)))))))))> |
#<alt (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z))> |
#<alt (* (pow t 2) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z))))> |
#<alt (* (pow t 2) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z)))))> |
#<alt (* (pow t 2) (+ (* 1/2 (* (/ (* (- z (* 2 z)) (- (* 1/2 x) y)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z))))))> |
#<alt (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z))> |
#<alt (* (pow t 2) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z))))> |
#<alt (* (pow t 2) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z)))))> |
#<alt (* (pow t 2) (+ (* 1/2 (* (/ (* (- z (* 2 z)) (- (* 1/2 x) y)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z))))))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))> |
#<alt (* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))> |
#<alt (* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))> |
#<alt (* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* -1/8 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* -1/8 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))))))> |
#<alt (* -1/8 (* (* (pow t 4) (* y (sqrt 2))) (sqrt z)))> |
#<alt (* (pow t 4) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z)))))> |
#<alt (* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))> |
#<alt (* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))> |
#<alt (* -1/8 (* (* (pow t 4) (* y (sqrt 2))) (sqrt z)))> |
#<alt (* (pow t 4) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z)))))> |
#<alt (* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))> |
#<alt (* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* y (sqrt z))> |
#<alt (* 1/2 t)> |
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))> |
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))> |
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
147 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | z | @ | 0 | (sqrt (* (* z 2) (pow (exp t) t))) |
| 12.0ms | z | @ | 0 | (* (* z 2) (pow (exp t) t)) |
| 3.0ms | z | @ | -inf | (* (sqrt 2) (neg (* (sqrt z) y))) |
| 2.0ms | t | @ | 0 | (* (* (sqrt 2) (neg (* (sqrt z) y))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)) |
| 2.0ms | x | @ | 0 | (* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t)))) |
| 1× | batch-egg-rewrite |
| 4 028× | /-lowering-/.f32 |
| 4 028× | /-lowering-/.f64 |
| 3 962× | *-lowering-*.f32 |
| 3 962× | *-lowering-*.f64 |
| 3 582× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 256 |
| 1 | 225 | 221 |
| 2 | 1719 | 217 |
| 0 | 8517 | 204 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* x 1/2) y) |
(sqrt (* (* z 2) (pow (exp t) t))) |
(* (* z 2) (pow (exp t) t)) |
(* z 2) |
(* (* (- 0 y) (sqrt (* z 2))) 1) |
(- 0 y) |
(sqrt (* z 2)) |
(sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2))) |
(* z (+ (* (+ (* t t) 2) (* t t)) 2)) |
(+ (* (+ (* t t) 2) (* t t)) 2) |
(* (sqrt 2) (neg (* (sqrt z) y))) |
(sqrt 2) |
(sqrt z) |
(+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1) |
(* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) |
(/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))) |
(* (* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1) |
(/ 1 (- (* x 1/2) y)) |
(* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t)))) |
(exp t) |
(* (- 0 y) (sqrt (* z 2))) |
(* (- (* x 1/2) y) (sqrt (* z (+ (* (+ (* t t) 2) (* t t)) 2)))) |
(* (* (sqrt 2) (neg (* (sqrt z) y))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)) |
(* (sqrt z) y) |
(* t (+ (* (* t t) 1/8) 1/2)) |
(* (* (/ 1 (- (* x 1/2) y)) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) |
| Outputs |
|---|
(+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(+.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) |
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(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))))) (/.f64 (sqrt.f64 z) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))))) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) (/.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (/.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (/.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))) (/.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) (/.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) y))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.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 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (*.f64 (/.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 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 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))) |
| 1× | egg-herbie |
| 9 090× | accelerator-lowering-fma.f32 |
| 9 090× | accelerator-lowering-fma.f64 |
| 7 938× | *-lowering-*.f32 |
| 7 938× | *-lowering-*.f64 |
| 2 470× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 567 | 8664 |
| 1 | 1863 | 7445 |
| 2 | 5974 | 7320 |
| 0 | 8073 | 6980 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* (sqrt z) (sqrt 2)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* -1 (* (* y (sqrt 2)) (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)))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) |
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (pow (sqrt -1) 2))) |
(* (sqrt z) (sqrt 2)) |
(+ (* (sqrt z) (sqrt 2)) (* (/ (pow t 2) (sqrt 2)) (sqrt z))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- z (/ z (pow (sqrt 2) 2)))) (sqrt 2)) (sqrt (/ 1 z)))) (* (sqrt z) (/ 1 (sqrt 2)))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* (sqrt z) (/ 1 (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (- z (/ z (pow (sqrt 2) 2))) (sqrt 2)))) (* 1/2 (* (/ (* (pow t 2) (- (/ z (pow (sqrt 2) 4)) (/ z (pow (sqrt 2) 2)))) (sqrt 2)) (sqrt (/ 1 z))))))))) |
(* (pow t 2) (sqrt z)) |
(* (pow t 2) (+ (sqrt z) (* (/ 1 (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z))))) |
(* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- z (* 2 z)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z)))))) |
(* (pow t 2) (sqrt z)) |
(* (pow t 2) (+ (sqrt z) (* (/ 1 (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z))))) |
(* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- z (* 2 z)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z)))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))) |
(* 2 z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(* (pow t 4) z) |
(* (pow t 4) (+ z (* 2 (/ z (pow t 2))))) |
(* (pow t 4) (+ z (+ (* 2 (/ z (pow t 2))) (* 2 (/ z (pow t 4)))))) |
(* (pow t 4) (+ z (+ (* 2 (/ z (pow t 2))) (* 2 (/ z (pow t 4)))))) |
(* (pow t 4) z) |
(* (pow t 4) (+ z (* 2 (/ z (pow t 2))))) |
(* (pow t 4) (+ z (+ (* 2 (/ z (pow t 2))) (* 2 (/ z (pow t 4)))))) |
(* (pow t 4) (+ z (+ (* 2 (/ z (pow t 2))) (* 2 (/ z (pow t 4)))))) |
2 |
(+ 2 (* 2 (pow t 2))) |
(+ 2 (* (pow t 2) (+ 2 (pow t 2)))) |
(+ 2 (* (pow t 2) (+ 2 (pow t 2)))) |
(pow t 4) |
(* (pow t 4) (+ 1 (* 2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1 (+ (* 2 (/ 1 (pow t 2))) (/ 2 (pow t 4))))) |
(* (pow t 4) (+ 1 (+ (* 2 (/ 1 (pow t 2))) (/ 2 (pow t 4))))) |
(pow t 4) |
(* (pow t 4) (+ 1 (* 2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1 (+ (* 2 (/ 1 (pow t 2))) (/ 2 (pow t 4))))) |
(* (pow t 4) (+ 1 (+ (* 2 (/ 1 (pow t 2))) (/ 2 (pow t 4))))) |
(* -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 (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)) |
(* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)) |
(* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)) |
(* (* y (* (pow (sqrt -1) 2) (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))) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* -1 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))))) |
(pow y 2) |
(+ (* -1 (* x y)) (pow y 2)) |
(+ (* x (+ (* -1 y) (* 1/4 x))) (pow y 2)) |
(+ (* x (+ (* -1 y) (* 1/4 x))) (pow y 2)) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1 (/ y x)))) |
(* (pow x 2) (+ 1/4 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1 (/ y x)))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)))) |
(* 1/4 (pow x 2)) |
(+ (* -1 (* x y)) (* 1/4 (pow x 2))) |
(+ (* 1/4 (pow x 2)) (* y (+ y (* -1 x)))) |
(+ (* 1/4 (pow x 2)) (* y (+ y (* -1 x)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1/4 (/ (pow x 2) y))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1/4 (/ (pow x 2) y))) 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 (pow y 2))) (/ 1 y)) |
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(/ 2 x) |
(/ (+ 2 (* 4 (/ y x))) x) |
(/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x) |
(/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x) |
(/ 2 x) |
(* -1 (/ (- (* -4 (/ y x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x)) |
(/ 2 x) |
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(/ -1 y) |
(/ (- (* -1/2 (/ x y)) 1) y) |
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y) |
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y) |
(/ -1 y) |
(* -1 (/ (+ 1 (* 1/2 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y)) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
1 |
(+ 1 t) |
(+ 1 (* t (+ 1 (* 1/2 t)))) |
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t)))))) |
(exp t) |
(exp t) |
(exp t) |
(exp t) |
(exp t) |
(exp t) |
(exp t) |
(exp t) |
(* -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 (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) |
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) |
(* x (+ (* -1 (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(* x (+ (* -1 (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(* x (+ (* -1 (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))) |
(* -1 (* x (+ (* -1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))) |
(* -1 (* x (+ (* -1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))) |
(* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) |
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) |
(* y (+ (* -1 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* 1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))) |
(* y (+ (* -1 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* 1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))) |
(* y (+ (* -1 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* 1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))) |
(* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) |
(* -1 (* y (+ (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* -1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))) |
(* -1 (* y (+ (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* -1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))) |
(* -1 (* y (+ (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* -1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (/ (* (pow t 2) (- (* 1/2 x) y)) (sqrt 2)) (sqrt z))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (* (- z (/ z (pow (sqrt 2) 2))) (- (* 1/2 x) y))) (sqrt 2)) (sqrt (/ 1 z)))) (* (sqrt z) (/ (- (* 1/2 x) y) (sqrt 2)))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* (sqrt z) (/ (- (* 1/2 x) y) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (- z (/ z (pow (sqrt 2) 2))) (- (* 1/2 x) y)) (sqrt 2)))) (* 1/2 (* (/ (* (pow t 2) (* (- (* 1/2 x) y) (- (/ z (pow (sqrt 2) 4)) (/ z (pow (sqrt 2) 2))))) (sqrt 2)) (sqrt (/ 1 z))))))))) |
(* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)) |
(* (pow t 2) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z))))) |
(* (pow t 2) (+ (* 1/2 (* (/ (* (- z (* 2 z)) (- (* 1/2 x) y)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z)))))) |
(* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)) |
(* (pow t 2) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z))))) |
(* (pow t 2) (+ (* 1/2 (* (/ (* (- z (* 2 z)) (- (* 1/2 x) y)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z)))))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z)) |
(* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z)) |
(* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z)) |
(* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z)) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* -1/8 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* -1/8 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z)))))) |
(* -1/8 (* (* (pow t 4) (* y (sqrt 2))) (sqrt z))) |
(* (pow t 4) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))) |
(* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z)))))) |
(* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z)))))) |
(* -1/8 (* (* (pow t 4) (* y (sqrt 2))) (sqrt z))) |
(* (pow t 4) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z))))) |
(* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z)))))) |
(* (pow t 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 4)) (sqrt z))) (+ (* -1/2 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/8 (* (* y (sqrt 2)) (sqrt z)))))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 t) |
(* t (+ 1/2 (* 1/8 (pow t 2)))) |
(* t (+ 1/2 (* 1/8 (pow t 2)))) |
(* t (+ 1/2 (* 1/8 (pow t 2)))) |
(* 1/8 (pow t 3)) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* 1/8 (pow t 3)) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* -1 (* (* 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))))) |
| Outputs |
|---|
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- (* 1/2 x) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(- (* 1/2 x) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(- (* 1/2 x) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.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))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.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)) |
(-.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) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 z #s(literal 1/8 binary64)))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 z (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 z #s(literal 1/6 binary64) (*.f64 z #s(literal -1/8 binary64)))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(*.f64 z (fma.f64 t (*.f64 t #s(literal 2 binary64)) #s(literal 2 binary64))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 t t) #s(literal 1 binary64)) z)) (*.f64 z #s(literal 2 binary64))) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
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1 |
#s(literal 1 binary64) |
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(exp.f64 t) |
(exp t) |
(exp.f64 t) |
(exp t) |
(exp.f64 t) |
(exp t) |
(exp.f64 t) |
(exp t) |
(exp.f64 t) |
(exp t) |
(exp.f64 t) |
(exp t) |
(exp.f64 t) |
(exp t) |
(exp.f64 t) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z))) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z))) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z))) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z))) |
(* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* x (+ (* -1 (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(* x (+ (* -1 (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(* x (+ (* -1 (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* -1 (* x (+ (* -1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))) |
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(* -1 (* x (+ (* -1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))) |
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(* -1 (* x (+ (* -1/2 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* (/ y x) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))) |
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(+ (* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) (* 1/2 (* x (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* y (+ (* -1 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* 1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(* y (+ (* -1 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* 1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(* y (+ (* -1 (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))) (* 1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(* -1 (* y (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* -1 (* y (+ (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* -1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(* -1 (* y (+ (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* -1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(* -1 (* y (+ (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* -1/2 (* (/ x y) (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (- (* 1/2 x) y)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* -1 (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2)))))) (* (pow (sqrt -1) 2) (- (* 1/2 x) y)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
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(*.f64 (sqrt.f64 z) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (* (- z (/ z (pow (sqrt 2) 2))) (- (* 1/2 x) y))) (sqrt 2)) (sqrt (/ 1 z)))) (* (sqrt z) (/ (- (* 1/2 x) y) (sqrt 2)))))) |
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(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* (sqrt z) (/ (- (* 1/2 x) y) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (- z (/ z (pow (sqrt 2) 2))) (- (* 1/2 x) y)) (sqrt 2)))) (* 1/2 (* (/ (* (pow t 2) (* (- (* 1/2 x) y) (- (/ z (pow (sqrt 2) 4)) (/ z (pow (sqrt 2) 2))))) (sqrt 2)) (sqrt (/ 1 z))))))))) |
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(* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(* (pow t 2) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z)))) |
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(* (pow t 2) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z))))) |
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(* (pow t 2) (+ (* 1/2 (* (/ (* (- z (* 2 z)) (- (* 1/2 x) y)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) z)) (pow t 4)) (sqrt (/ 1 z)))) (+ (* (sqrt z) (- (* 1/2 x) y)) (* (/ (- (* 1/2 x) y) (pow t 2)) (sqrt z)))))) |
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(* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)) |
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(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 #s(literal 2 binary64))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) y))) |
Compiled 101 288 to 7 078 computations (93% saved)
48 alts after pruning (48 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 800 | 22 | 2 822 |
| Fresh | 14 | 26 | 40 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 819 | 48 | 2 867 |
| Status | Accuracy | Program |
|---|---|---|
| 52.8% | (fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) | |
| ▶ | 47.6% | (/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
| 27.6% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) | |
| 12.7% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64))) | |
| 16.8% | (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| 49.6% | (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 90.3% | (*.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 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 40.3% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) | |
| 86.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64))))) | |
| 52.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64))))) | |
| 91.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 79.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) | |
| 49.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 27.1% | (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) | |
| 57.0% | (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) | |
| 57.0% | (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 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)) (sqrt.f64 z)))) | |
| 66.0% | (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))) | |
| 66.0% | (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) | |
| 55.9% | (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) | |
| 90.3% | (*.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 91.7% | (*.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) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| ▶ | 99.1% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t))) |
| 49.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 54.3% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 27.2% | (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 17.1% | (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 40.9% | (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y) #s(literal -1 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 42.2% | (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 8 binary64) (*.f64 y #s(literal 4 binary64))) x)) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 39.5% | (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 36.5% | (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 51.4% | (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 51.5% | (*.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)) | |
| ▶ | 49.0% | (*.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)) |
| 51.4% | (*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 60.6% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) | |
| 24.8% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 33.5% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) | |
| 24.8% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) | |
| 51.4% | (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 63.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) | |
| 53.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) | |
| 27.1% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) | |
| 54.4% | (*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 82.8% | (*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) | |
| 60.3% | (*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64))))) | |
| 50.0% | (*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x)))) | |
| 54.4% | (neg.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))) | |
| ▶ | 27.2% | (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
Compiled 2 272 to 1 532 computations (32.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 192 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 576 | (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
| ✓ | cost-diff | 1216 | (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 640 | (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
| ✓ | cost-diff | -64 | (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
| ✓ | cost-diff | -64 | (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t))) |
| 9 806× | accelerator-lowering-fma.f32 |
| 9 806× | accelerator-lowering-fma.f64 |
| 3 658× | *-lowering-*.f32 |
| 3 658× | *-lowering-*.f64 |
| 1 688× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 305 |
| 1 | 91 | 297 |
| 2 | 227 | 297 |
| 3 | 859 | 291 |
| 4 | 3160 | 291 |
| 5 | 5779 | 285 |
| 0 | 8094 | 277 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp t) (* 1/2 t))) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(- (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(sqrt (* z 2)) |
(* z 2) |
z |
2 |
(pow (exp t) (* 1/2 t)) |
(exp t) |
t |
(* 1/2 t) |
(neg (* (sqrt (* z 2)) y)) |
(* (sqrt (* z 2)) y) |
(sqrt (* z 2)) |
(* z 2) |
z |
2 |
y |
(* (* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) 1) |
(* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) |
(* x (- 1/2 (/ y x))) |
x |
(- 1/2 (/ y x)) |
1/2 |
(/ y x) |
y |
(sqrt (* z 2)) |
(* z 2) |
z |
2 |
1 |
(/ (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) (+ (* x 1/2) y)) |
(* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) |
(- (* x (* x 1/4)) (* y y)) |
(* x (* x 1/4)) |
x |
(* x 1/4) |
1/4 |
(* y y) |
y |
(sqrt (* z 2)) |
(* z 2) |
z |
2 |
(+ (* x 1/2) y) |
1/2 |
(* (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1) |
(* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) |
(* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) |
(/ 2 x) |
2 |
x |
(/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))) |
(- (* x 1/2) y) |
(* x 1/2) |
1/2 |
y |
(/ 1 (- (* x 1/2) y)) |
1 |
(sqrt (* z 2)) |
(* z 2) |
z |
| Outputs |
|---|
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp t) (* 1/2 t))) |
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t))) #s(literal 0 binary64)) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (* x 1/2) y) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(* x 1/2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
y |
(sqrt (* z 2)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
(pow (exp t) (* 1/2 t)) |
(pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)) |
(exp t) |
(exp.f64 t) |
t |
(* 1/2 t) |
(*.f64 #s(literal 1/2 binary64) t) |
(neg (* (sqrt (* z 2)) y)) |
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(* (sqrt (* z 2)) y) |
(fma.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(sqrt (* z 2)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
y |
(* (* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) 1) |
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) |
(fma.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* x (- 1/2 (/ y x))) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
x |
(- 1/2 (/ y x)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
1/2 |
#s(literal 1/2 binary64) |
(/ y x) |
(/.f64 y x) |
y |
(sqrt (* z 2)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
1 |
#s(literal 1 binary64) |
(/ (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) (+ (* x 1/2) y)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) |
(* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) |
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(- (* x (* x 1/4)) (* y y)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 0 binary64)))) |
(* x (* x 1/4)) |
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
x |
(* x 1/4) |
(*.f64 x #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(* y y) |
(fma.f64 y y #s(literal 0 binary64)) |
y |
(sqrt (* z 2)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
2 |
#s(literal 2 binary64) |
(+ (* x 1/2) y) |
(fma.f64 x #s(literal 1/2 binary64) y) |
1/2 |
#s(literal 1/2 binary64) |
(* (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 y #s(literal -2 binary64) x)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 y #s(literal -2 binary64) x)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) |
(*.f64 (fma.f64 y #s(literal -2 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))) |
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y) #s(literal 0 binary64)) |
(- (* x 1/2) y) |
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(* x 1/2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
y |
(/ 1 (- (* x 1/2) y)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) |
1 |
#s(literal 1 binary64) |
(sqrt (* z 2)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(* z 2) |
(*.f64 z #s(literal 2 binary64)) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | accuracy | 99.7% | (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
| ✓ | accuracy | 96.1% | (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 72.5% | (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 94.7% | (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) |
| ✓ | accuracy | 92.9% | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 64.4% | (/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 90.1% | (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (exp.f64 t) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t))) |
| 92.0ms | 256× | 0 | valid |
Compiled 315 to 39 computations (87.6% saved)
ival-mult: 30.0ms (50.4% of total)ival-div: 8.0ms (13.4% of total)ival-add: 6.0ms (10.1% of total)ival-pow: 5.0ms (8.4% of total)ival-sub: 4.0ms (6.7% of total)ival-exp: 2.0ms (3.4% of total)ival-sqrt: 2.0ms (3.4% of total)exact: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp t) (* 1/2 t)))> |
#<alt (- (* x 1/2) y)> |
#<alt (sqrt (* z 2))> |
#<alt (* z 2)> |
#<alt (neg (* (sqrt (* z 2)) y))> |
#<alt (* (sqrt (* z 2)) y)> |
#<alt (* x (- 1/2 (/ y x)))> |
#<alt (* (* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) 1)> |
#<alt (- 1/2 (/ y x))> |
#<alt (/ y x)> |
#<alt (/ (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) (+ (* x 1/2) y))> |
#<alt (- (* x (* x 1/4)) (* y y))> |
#<alt (* x 1/4)> |
#<alt (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))> |
#<alt (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))))> |
#<alt (* (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1)> |
#<alt (/ 1 (- (* x 1/2) y))> |
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))> |
#<alt (exp t)> |
#<alt (* (* x (- 1/2 (/ y x))) (sqrt (* z 2)))> |
#<alt (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2)))> |
#<alt (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2)))> |
| Outputs |
|---|
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))> |
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))> |
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))> |
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))> |
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))> |
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))> |
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
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#<alt (* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))))> |
#<alt (* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))> |
#<alt (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))> |
#<alt (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))> |
#<alt (* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))> |
#<alt (* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))))> |
#<alt (* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))))> |
#<alt (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))> |
#<alt (* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))> |
#<alt (* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))> |
#<alt (* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))> |
#<alt (* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))> |
#<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 (* -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> |
#<alt (+ 1 t)> |
#<alt (+ 1 (* t (+ 1 (* 1/2 t))))> |
#<alt (+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))> |
#<alt (exp t)> |
#<alt (exp t)> |
#<alt (exp t)> |
#<alt (exp t)> |
#<alt (exp t)> |
#<alt (exp t)> |
#<alt (exp t)> |
#<alt (exp t)> |
#<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 (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))> |
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))> |
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))> |
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))> |
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))> |
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))> |
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))> |
#<alt (* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z))> |
#<alt (* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z)))> |
#<alt (* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z)))> |
#<alt (* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z)))> |
#<alt (* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z)))> |
#<alt (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))> |
#<alt (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))> |
#<alt (* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))> |
#<alt (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))> |
#<alt (* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2)))))> |
#<alt (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))))> |
#<alt (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z)))> |
#<alt (* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))> |
#<alt (* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))> |
#<alt (* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))> |
#<alt (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z)))> |
#<alt (* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))> |
#<alt (* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))> |
#<alt (* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2))))))> |
#<alt (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))> |
#<alt (/ (+ (* -2 (* (* x (* y (sqrt 2))) (sqrt z))) (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z)))) x)> |
#<alt (/ (+ (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* x (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) x)> |
#<alt (/ (+ (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* x (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) x)> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))))> |
#<alt (* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))> |
#<alt (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z))))))> |
#<alt (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))> |
#<alt (* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))> |
#<alt (* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))))> |
#<alt (* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))))> |
#<alt (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))> |
#<alt (* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z)))> |
#<alt (* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))> |
#<alt (* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))> |
#<alt (* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))> |
#<alt (* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z)))> |
147 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | y | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp t) (* 1/2 t))) |
| 2.0ms | x | @ | inf | (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) |
| 2.0ms | x | @ | inf | (* x (- 1/2 (/ y x))) |
| 1.0ms | z | @ | 0 | (* (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1) |
| 1.0ms | z | @ | -inf | (* (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1) |
| 1× | batch-egg-rewrite |
| 5 038× | /-lowering-/.f32 |
| 5 038× | /-lowering-/.f64 |
| 4 966× | accelerator-lowering-fma.f32 |
| 4 966× | accelerator-lowering-fma.f64 |
| 4 558× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 230 |
| 1 | 181 | 201 |
| 2 | 1397 | 185 |
| 0 | 8440 | 185 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp t) (* 1/2 t))) |
(- (* x 1/2) y) |
(sqrt (* z 2)) |
(* z 2) |
(neg (* (sqrt (* z 2)) y)) |
(* (sqrt (* z 2)) y) |
(* x (- 1/2 (/ y x))) |
(* (* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) 1) |
(- 1/2 (/ y x)) |
(/ y x) |
(/ (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) (+ (* x 1/2) y)) |
(- (* x (* x 1/4)) (* y y)) |
(* x 1/4) |
(/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y))) |
(* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) |
(* (* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) 1) |
(/ 1 (- (* x 1/2) y)) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(exp t) |
(* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) |
(* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) |
(* (* (/ 2 x) (/ (- (* x 1/2) y) (/ 1 (- (* x 1/2) y)))) (sqrt (* z 2))) |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(/.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 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) 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))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))))) (-.f64 #s(literal 0 binary64) (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 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))) |
(*.f64 (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))))) |
(*.f64 (exp.f64 (*.f64 t (*.f64 t #s(literal 1/4 binary64)))) (*.f64 (exp.f64 (*.f64 t (*.f64 t #s(literal 1/4 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 t (*.f64 t #s(literal 1/4 binary64))))) (exp.f64 (*.f64 t (*.f64 t #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))) (/.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 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (exp.f64 (*.f64 t (*.f64 #s(literal 1/2 binary64) t)))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(+.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)))) (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 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64))) y)) |
(-.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 (*.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 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (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 (*.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 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)) |
(fma.f64 x (/.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 #s(literal -1 binary64) y (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (/.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 (/.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)))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (/.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 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 y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 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 y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x #s(literal 1/2 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 y) (fma.f64 x #s(literal 1/2 binary64) y)))) |
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(*.f64 (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))) (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))) |
| 1× | egg-herbie |
| 10 248× | accelerator-lowering-fma.f32 |
| 10 248× | accelerator-lowering-fma.f64 |
| 8 352× | *-lowering-*.f32 |
| 8 352× | *-lowering-*.f64 |
| 2 716× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 473 | 8442 |
| 1 | 1508 | 7831 |
| 2 | 4681 | 7458 |
| 0 | 8308 | 7277 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* -1 (* (* y (sqrt 2)) (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))) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))) |
(* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))) |
(* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))) |
(* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* (* y (sqrt 2)) (sqrt z)) |
(* -1 y) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -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))))) |
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
(* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z))) |
(* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z))) |
(* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z))) |
(* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z))) |
1/2 |
(+ 1/2 (* -1 (/ y x))) |
(+ 1/2 (* -1 (/ y x))) |
(+ 1/2 (* -1 (/ y x))) |
(* -1 (/ y x)) |
(* y (- (* 1/2 (/ 1 y)) (/ 1 x))) |
(* y (- (* 1/2 (/ 1 y)) (/ 1 x))) |
(* y (- (* 1/2 (/ 1 y)) (/ 1 x))) |
(* -1 (/ y x)) |
(* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 y))))) |
(* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 y))))) |
(* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 y))))) |
(* -1 (/ y x)) |
(/ (- (* 1/2 x) y) x) |
(/ (- (* 1/2 x) y) x) |
(/ (- (* 1/2 x) y) x) |
1/2 |
(+ 1/2 (* -1 (/ y x))) |
(+ 1/2 (* -1 (/ y x))) |
(+ 1/2 (* -1 (/ y x))) |
1/2 |
(+ 1/2 (* -1 (/ y x))) |
(+ 1/2 (* -1 (/ y x))) |
(+ 1/2 (* -1 (/ y x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))) |
(* -1 (pow y 2)) |
(- (* 1/4 (pow x 2)) (pow y 2)) |
(- (* 1/4 (pow x 2)) (pow y 2)) |
(- (* 1/4 (pow x 2)) (pow y 2)) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* 1/4 (pow x 2)) |
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(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* -1 (pow y 2)) |
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(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(pow y 2) |
(+ (* -1 (* x y)) (pow y 2)) |
(+ (* x (+ (* -1 y) (* 1/4 x))) (pow y 2)) |
(+ (* x (+ (* -1 y) (* 1/4 x))) (pow y 2)) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1 (/ y x)))) |
(* (pow x 2) (+ 1/4 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1 (/ y x)))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)))) |
(* 1/4 (pow x 2)) |
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(+ (* 1/4 (pow x 2)) (* y (+ y (* -1 x)))) |
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(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ x y)))) |
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(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))) |
(pow y 2) |
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(/ (+ (* 2 (pow y 2)) (* x (+ (* -2 y) (* 1/2 x)))) x) |
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(/ (+ (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* x (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) x) |
(/ (+ (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* x (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) x) |
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(* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
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(* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2)))))) |
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(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z))) |
(/ -1 y) |
(- (* -1/2 (/ x (pow y 2))) (/ 1 y)) |
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(- (* 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) |
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(+ (* 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)) |
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y)) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
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(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
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(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
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(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
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(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
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(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
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(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
1 |
(+ 1 t) |
(+ 1 (* t (+ 1 (* 1/2 t)))) |
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t)))))) |
(exp t) |
(exp t) |
(exp t) |
(exp t) |
(exp t) |
(exp t) |
(exp t) |
(exp t) |
(* -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))) |
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(* 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))))) |
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
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(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
(* (* x (* (sqrt 2) (- 1/2 (/ y x)))) (sqrt z)) |
(* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z))) |
(* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z))) |
(* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z))) |
(* -1 (* (* x (* (sqrt -2) (* (sqrt -1) (- 1/2 (/ y x))))) (sqrt z))) |
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))) |
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(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2))))) |
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2))))) |
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2))))) |
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) |
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(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2))))) |
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2))))) |
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(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))) |
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) |
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))))) |
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))))) |
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))))) |
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) |
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))))) |
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))))) |
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
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(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))))) |
(* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z))) |
(/ (+ (* -2 (* (* x (* y (sqrt 2))) (sqrt z))) (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z)))) x) |
(/ (+ (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* x (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) x) |
(/ (+ (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* x (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) x) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z)))))) |
(* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z)))))) |
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z)))))) |
(* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z))) |
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))) |
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))) |
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))) |
(* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z))) |
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z))))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z))) |
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z))) |
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z))) |
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 x (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (sqrt.f64 z) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 x (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (sqrt.f64 z) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 x (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (sqrt.f64 z) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 x (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (sqrt.f64 z) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 x (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (sqrt.f64 z) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 x (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (sqrt.f64 z) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* (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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 t (*.f64 t (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)))) (*.f64 #s(literal 1/8 binary64) (*.f64 t t)))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (fma.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64))))))) |
(* (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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
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1 |
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(* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z)))))) |
(*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (fma.f64 (/.f64 (*.f64 y (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))))) |
(* x (+ (* -2 (* (/ (* y (sqrt 2)) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z)))))) |
(*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (fma.f64 (/.f64 (*.f64 y (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z)))))) |
(*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 2 binary64) (*.f64 y (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal -2 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) x))) |
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z)))) x)) (* -1/2 (* (sqrt z) (sqrt 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 2 binary64) (*.f64 y (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal -2 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) x))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(+ (* -2 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal -2 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z)))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal -2 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 y #s(literal 2 binary64)))) |
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* -2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* y (sqrt 2)) x) (sqrt z)))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal -2 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 y #s(literal 2 binary64)))) |
(* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))) |
(*.f64 (*.f64 y y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))) |
(*.f64 (*.f64 y y) (fma.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 y y)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (+ (* 1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z)))))) |
(*.f64 (*.f64 y y) (fma.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 y y)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* 2 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* (pow y 2) (+ (* -2 (* (/ (sqrt 2) y) (sqrt z))) (* 2 (* (/ (sqrt 2) x) (sqrt z))))) |
(*.f64 (*.f64 y y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z))))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))) y))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* 2 (* (sqrt z) (sqrt 2)))) y)) (* 2 (* (/ (sqrt 2) x) (sqrt z))))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))) y))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(* 2 (* (/ (* (sqrt 2) (pow (- (* 1/2 x) y) 2)) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(* -2 (* (/ (* (sqrt -2) (* (sqrt -1) (pow (- (* 1/2 x) y) 2))) x) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
Compiled 63 099 to 5 372 computations (91.5% saved)
46 alts after pruning (45 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 052 | 12 | 2 064 |
| Fresh | 10 | 33 | 43 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 066 | 46 | 2 112 |
| Status | Accuracy | Program |
|---|---|---|
| 52.8% | (fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) | |
| 16.8% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| 35.0% | (/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64))) | |
| 27.6% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) | |
| 12.7% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64))) | |
| 38.7% | (/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 54.3% | (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 27.9% | (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 49.6% | (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 90.3% | (*.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 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 40.3% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) | |
| 86.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64))))) | |
| 91.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 79.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) | |
| 49.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 66.0% | (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))) | |
| 66.0% | (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) | |
| 55.9% | (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) | |
| 90.3% | (*.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 15.1% | (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 91.7% | (*.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) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 49.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 63.7% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t))) | |
| 27.2% | (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 17.1% | (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 40.9% | (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y) #s(literal -1 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 36.5% | (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 51.4% | (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 24.8% | (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 51.4% | (*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 60.6% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) | |
| 50.1% | (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) | |
| 33.5% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) | |
| 24.8% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) | |
| 51.4% | (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 63.4% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) | |
| 53.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) | |
| 15.1% | (*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) | |
| 27.1% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) | |
| 54.4% | (*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 82.8% | (*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) | |
| 60.3% | (*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64))))) | |
| 54.4% | (neg.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))) | |
| 27.1% | (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) | |
| ✓ | 27.2% | (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
| 27.1% | (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
Compiled 2 912 to 1 056 computations (63.7% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(neg.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 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 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.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) #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)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) |
(*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.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 (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 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 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)) (sqrt.f64 z)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (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 t (/.f64 (*.f64 t (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))))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 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)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 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 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 8 binary64) (*.f64 y #s(literal 4 binary64))) x)) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y) #s(literal -1 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.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 #s(literal 1/2 binary64) (*.f64 t t)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (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 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (*.f64 y (*.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 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))) |
13 calls:
| 58.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 38.0ms | t |
| 29.0ms | (*.f64 z #s(literal 2 binary64)) |
| 27.0ms | y |
| 27.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | t |
| 99.9% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 99.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 99.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 99.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 99.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 99.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 99.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 99.9% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(neg.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 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 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.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) #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)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) |
(*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.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 (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 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 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)) (sqrt.f64 z)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (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 t (/.f64 (*.f64 t (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))))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 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)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 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 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 8 binary64) (*.f64 y #s(literal 4 binary64))) x)) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y) #s(literal -1 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.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 #s(literal 1/2 binary64) (*.f64 t t)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (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 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (*.f64 y (*.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 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
13 calls:
| 41.0ms | x |
| 35.0ms | y |
| 34.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 30.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 28.0ms | z |
| 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 |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(neg.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 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 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.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) #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)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) |
(*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.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 (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 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 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)) (sqrt.f64 z)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (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 t (/.f64 (*.f64 t (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))))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 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)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 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 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 8 binary64) (*.f64 y #s(literal 4 binary64))) x)) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y) #s(literal -1 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))) |
13 calls:
| 29.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 23.0ms | (*.f64 z #s(literal 2 binary64)) |
| 23.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 23.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 23.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 1 | x |
| 91.8% | 1 | y |
| 91.8% | 1 | z |
| 98.0% | 3 | t |
| 91.8% | 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)))) |
| 91.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 91.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 91.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 91.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 91.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 91.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 98.0% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 98.0% | 3 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(neg.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 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 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.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) #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)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) |
(*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.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 (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 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 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)) (sqrt.f64 z)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (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 t (/.f64 (*.f64 t (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))))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 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)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 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 y (*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 x y)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 8 binary64) (*.f64 y #s(literal 4 binary64))) x)) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y) #s(literal -1 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
3 calls:
| 21.0ms | t |
| 21.0ms | (*.f64 t t) |
| 20.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 2 | t |
| 94.3% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 94.3% | 2 | (*.f64 t t) |
Compiled 21 to 16 computations (23.8% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(neg.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 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 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.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) #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)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) |
(*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.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 (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 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 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)) (sqrt.f64 z)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
3 calls:
| 29.0ms | t |
| 17.0ms | (*.f64 t t) |
| 17.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 3 | t |
| 95.0% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 95.0% | 3 | (*.f64 t t) |
Compiled 21 to 16 computations (23.8% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(neg.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 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 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.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) #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)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) |
(*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.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 (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 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 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)) (sqrt.f64 z)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
7 calls:
| 21.0ms | (*.f64 t t) |
| 19.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 16.0ms | (*.f64 z #s(literal 2 binary64)) |
| 16.0ms | z |
| 16.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 1 | z |
| 91.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 91.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 91.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 91.8% | 1 | t |
| 91.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 91.8% | 1 | (*.f64 t t) |
Compiled 51 to 41 computations (19.6% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(neg.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 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 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.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) #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)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) |
(*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.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 (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 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 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)) (sqrt.f64 z)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
13 calls:
| 8.4s | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 127.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 27.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 21.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 18.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 1 | t |
| 91.7% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 91.7% | 1 | (*.f64 t t) |
| 91.7% | 1 | x |
| 91.7% | 1 | y |
| 91.7% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 91.7% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 91.7% | 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)))) |
| 91.7% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 91.7% | 1 | z |
| 91.7% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 91.7% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 91.7% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(neg.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 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 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.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) #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)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) |
(*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.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 (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 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 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)) (sqrt.f64 z)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x)))) |
| Outputs |
|---|
(*.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
13 calls:
| 892.0ms | z |
| 888.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 581.0ms | y |
| 318.0ms | (*.f64 t t) |
| 19.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.3% | 1 | y |
| 90.3% | 1 | t |
| 90.3% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 90.3% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 90.3% | 1 | (*.f64 t t) |
| 90.3% | 1 | x |
| 90.3% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 90.3% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 90.3% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 90.3% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 90.3% | 1 | z |
| 90.3% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 90.3% | 1 | (*.f64 z #s(literal 2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(neg.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 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 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.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) #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)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) |
(*.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) #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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
13 calls:
| 22.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 16.0ms | (*.f64 t t) |
| 15.0ms | (*.f64 z #s(literal 2 binary64)) |
| 15.0ms | z |
| 14.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 1 | x |
| 89.2% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 89.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 89.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 89.2% | 1 | z |
| 89.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 89.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 89.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 89.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 89.2% | 1 | y |
| 89.2% | 1 | t |
| 89.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 89.2% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(neg.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 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 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.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) #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)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/8 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.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)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
13 calls:
| 5.3s | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 61.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 13.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 12.0ms | x |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 1 | x |
| 88.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 88.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 88.9% | 1 | z |
| 88.9% | 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)))) |
| 90.5% | 2 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 88.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 88.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 88.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 88.9% | 1 | y |
| 88.9% | 1 | t |
| 88.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 88.9% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(neg.f64 (*.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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 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 (fma.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t z) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.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) #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)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
13 calls:
| 6.3s | z |
| 137.0ms | (*.f64 t t) |
| 12.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 12.0ms | (*.f64 z #s(literal 2 binary64)) |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 88.0% | 1 | x |
| 88.0% | 1 | z |
| 88.0% | 1 | t |
| 88.0% | 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)))) |
| 88.0% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 88.0% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 88.0% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 88.0% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 88.0% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 88.0% | 1 | (*.f64 t t) |
| 88.0% | 1 | y |
| 88.0% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.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))) |
| 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 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
13 calls:
| 38.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 29.0ms | (*.f64 t t) |
| 8.0ms | t |
| 7.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 7.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 1 | x |
| 82.0% | 2 | z |
| 85.4% | 4 | t |
| 80.2% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 80.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 82.0% | 2 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 80.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 82.0% | 2 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 82.0% | 2 | (*.f64 z #s(literal 2 binary64)) |
| 80.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 85.4% | 4 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 85.4% | 4 | (*.f64 t t) |
| 80.2% | 1 | y |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
3 calls:
| 11.0ms | (*.f64 t t) |
| 7.0ms | t |
| 6.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 4 | t |
| 85.4% | 4 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 85.4% | 4 | (*.f64 t t) |
Compiled 21 to 16 computations (23.8% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
3 calls:
| 6.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 6.0ms | t |
| 5.0ms | (*.f64 t t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 3 | t |
| 83.6% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 83.6% | 3 | (*.f64 t t) |
Compiled 21 to 16 computations (23.8% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
13 calls:
| 99.0ms | z |
| 7.0ms | (*.f64 z #s(literal 2 binary64)) |
| 6.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 6.0ms | x |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 1 | x |
| 79.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 79.8% | 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)))) |
| 79.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 79.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 79.8% | 1 | y |
| 79.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 79.8% | 1 | z |
| 79.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 79.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 79.8% | 1 | t |
| 79.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 79.8% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
13 calls:
| 144.0ms | (*.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)))) |
| 5.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 5.0ms | z |
| 5.0ms | t |
| 5.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 3 | t |
| 53.8% | 3 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 53.8% | 3 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 81.1% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 81.1% | 3 | (*.f64 t t) |
| 52.0% | 2 | z |
| 75.9% | 3 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 52.0% | 2 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 52.0% | 2 | (*.f64 z #s(literal 2 binary64)) |
| 53.1% | 2 | x |
| 55.0% | 3 | y |
| 53.1% | 2 | (*.f64 x #s(literal 1/2 binary64)) |
| 79.3% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.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)) (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 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))) |
4 calls:
| 1.4s | (*.f64 t t) |
| 5.0ms | t |
| 5.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 4.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 79.3% | 2 | t |
| 79.3% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 79.3% | 2 | (*.f64 t t) |
Compiled 31 to 24 computations (22.6% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
13 calls:
| 24.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 10.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 4.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 4.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 4.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.6% | 1 | z |
| 49.6% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 49.6% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 49.6% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 49.6% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 49.6% | 1 | x |
| 49.6% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 49.6% | 1 | y |
| 49.6% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 49.6% | 1 | t |
| 49.6% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 49.6% | 1 | (*.f64 t t) |
| 49.6% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 112 to 88 computations (21.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y)) |
13 calls:
| 22.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 2.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 2.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 2.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 2.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 27.2% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 27.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 27.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 27.2% | 1 | x |
| 27.2% | 1 | y |
| 27.2% | 1 | z |
| 27.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 27.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 27.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 27.2% | 1 | t |
| 27.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 27.2% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.8866298117927645e+79 | 2.048585958248353e+80 |
| 0.0ms | 6.033054066632086 | 236.1455750130983 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.88662529967456e+146 | 7.624526201765404e+148 |
Compiled 24 to 22 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1219756017353529e+101 | 1.505999219767639e+107 |
| 0.0ms | 9678.647575153036 | 17707077.901869077 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.8460183414721338e+73 | 1.8496459131788977e+73 |
Compiled 24 to 22 computations (8.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.358795197808815e+299 | +inf |
| 0.0ms | 1.511122625548156e+92 | 6.164752505736741e+93 |
| 0.0ms | 236.1455750130983 | 4642.392676771418 |
Compiled 24 to 22 computations (8.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.358795197808815e+299 | +inf |
| 0.0ms | 1.511122625548156e+92 | 6.164752505736741e+93 |
| 0.0ms | 236.1455750130983 | 4642.392676771418 |
Compiled 24 to 22 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.358795197808815e+299 | +inf |
| 0.0ms | 5.37080049487283e+25 | 9.135550194065316e+32 |
Compiled 24 to 22 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.164752505736741e+93 | 7.172474712707133e+99 |
| 0.0ms | 4642.392676771418 | 9678.647575153036 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000021654125 | 20.42024954575867 |
Compiled 24 to 23 computations (4.2% saved)
| 1× | egg-herbie |
| 116× | *-commutative_binary64 |
| 30× | neg-mul-1_binary64 |
| 28× | +-commutative_binary64 |
| 28× | sub-neg_binary64 |
| 26× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 742 |
| 1 | 209 | 742 |
| 2 | 239 | 742 |
| 3 | 272 | 742 |
| 4 | 289 | 742 |
| 5 | 299 | 742 |
| 6 | 302 | 742 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
(if (<=.f64 (*.f64 t t) #s(literal 10 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 10000 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (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)) 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 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(if (<=.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 18480000000000001205521336734462045595872220701040517579527480921095667712 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.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)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 t t) #s(literal 400 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 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 400 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 100000000000000004764729344 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 t t) #s(literal 5000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (if (<=.f64 (*.f64 t t) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))) |
(*.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))) y)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
(if (<=.f64 (*.f64 t t) #s(literal 10 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 10 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (-.f64 #s(literal 0 binary64) y)) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 #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 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64)) z) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (/.f64 (*.f64 z (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 t t #s(literal 2 binary64))) (*.f64 t (fma.f64 t t #s(literal 2 binary64)))) #s(literal -4 binary64))) (fma.f64 t (*.f64 t (fma.f64 t t #s(literal 2 binary64))) #s(literal -2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 10000 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 10000 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 x (*.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x x)) #s(literal 1/4 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (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)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.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 (*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(if (<=.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 18480000000000001205521336734462045595872220701040517579527480921095667712 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.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)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 t t) #s(literal 400 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 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 400 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 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 400 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 400 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 100000000000000004764729344 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 t t) #s(literal 5000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (if (<=.f64 (*.f64 t t) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 5000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (if (<=.f64 (*.f64 t t) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (*.f64 x (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z)))))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 z))))) |
(*.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))) y)) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y)) |
| 18 894× | accelerator-lowering-fma.f32 |
| 18 894× | accelerator-lowering-fma.f64 |
| 11 078× | accelerator-lowering-fma.f32 |
| 11 078× | accelerator-lowering-fma.f64 |
| 10 248× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 567 | 8664 |
| 1 | 1863 | 7445 |
| 2 | 5974 | 7320 |
| 0 | 8073 | 6980 |
| 0 | 44 | 256 |
| 1 | 225 | 221 |
| 2 | 1719 | 217 |
| 0 | 8517 | 204 |
| 0 | 37 | 182 |
| 1 | 166 | 179 |
| 2 | 1194 | 179 |
| 0 | 8945 | 173 |
| 0 | 543 | 10128 |
| 1 | 1784 | 8909 |
| 2 | 6266 | 8402 |
| 0 | 8309 | 8052 |
| 0 | 15 | 43 |
| 1 | 54 | 42 |
| 2 | 276 | 42 |
| 3 | 2343 | 42 |
| 0 | 8608 | 42 |
| 0 | 473 | 8442 |
| 1 | 1508 | 7831 |
| 2 | 4681 | 7458 |
| 0 | 8308 | 7277 |
| 0 | 37 | 230 |
| 1 | 181 | 201 |
| 2 | 1397 | 185 |
| 0 | 8440 | 185 |
| 0 | 137 | 2123 |
| 1 | 456 | 1644 |
| 2 | 1581 | 1551 |
| 3 | 4468 | 1548 |
| 0 | 8854 | 1536 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 165 to 1 136 computations (47.5% saved)
(abs t)
Compiled 1 742 to 436 computations (75% saved)
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