
Time bar (total: 45.2s)
| 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)
| 10.2s | 2 098× | 0 | invalid |
| 6.6s | 8 256× | 0 | valid |
ival-div: 9.8s (62.3% of total)ival-mult: 5.5s (34.8% of total)ival-sqrt: 205.0ms (1.3% of total)ival-exp: 131.0ms (0.8% of total)ival-sub: 94.0ms (0.6% of total)exact: 10.0ms (0.1% of total)ival-true: 7.0ms (0% of total)ival-assert: 4.0ms (0% 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 |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 t t) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 2 | 254 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 1 | 0 |
| 53.0ms | 512× | 0 | valid |
Compiled 170 to 64 computations (62.4% saved)
ival-mult: 15.0ms (47.5% of total)ival-div: 4.0ms (12.7% of total)ival-exp: 4.0ms (12.7% of total)ival-sqrt: 4.0ms (12.7% of total)ival-sub: 3.0ms (9.5% of total)exact: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
Compiled 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (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% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| ✓ | accuracy | 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)))) |
| 25.0ms | 256× | 0 | valid |
Compiled 64 to 17 computations (73.4% saved)
ival-mult: 7.0ms (50.4% of total)ival-div: 2.0ms (14.4% of total)ival-exp: 2.0ms (14.4% of total)ival-sqrt: 2.0ms (14.4% of total)ival-sub: 1.0ms (7.2% 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)))> |
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 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 (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (* y (* (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))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | t | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 2.0ms | z | @ | -inf | (sqrt (* z 2)) |
| 1.0ms | z | @ | inf | (* (- (* x 1/2) y) (sqrt (* z 2))) |
| 1.0ms | z | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 1.0ms | t | @ | inf | (* (* (- (* 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))) |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 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)))))) |
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(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t 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 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (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 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (-.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 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (-.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 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (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 | 2312 |
| 1 | 456 | 1644 |
| 2 | 1587 | 1551 |
| 3 | 4482 | 1548 |
| 0 | 8852 | 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 (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 (* (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)))) |
| Outputs |
|---|
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(- (* 1/2 x) y) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(- (* 1/2 x) y) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(- (* 1/2 x) y) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #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)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #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))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(* -1 (* x (- (/ y x) 1/2))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(* -1 (* x (- (/ y x) 1/2))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #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)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(+ (* -1 y) (* 1/2 x)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(+ (* -1 y) (* 1/2 x)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #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 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(* 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))))))) |
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(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (fma.f64 x #s(literal -1/2 binary64) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (fma.f64 x #s(literal -1/2 binary64) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (fma.f64 x #s(literal -1/2 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 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))) |
(* -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 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))) |
(* -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 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))) |
(* -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 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(*.f64 (sqrt.f64 z) (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #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)))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #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 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (fma.f64 x #s(literal -1/2 binary64) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (fma.f64 x #s(literal -1/2 binary64) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (fma.f64 x #s(literal -1/2 binary64) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (fma.f64 x #s(literal -1/2 binary64) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (fma.f64 x #s(literal -1/2 binary64) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (fma.f64 x #s(literal -1/2 binary64) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (fma.f64 x #s(literal -1/2 binary64) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (fma.f64 x #s(literal -1/2 binary64) y)) |
Compiled 20 854 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 |
|---|---|---|
| 93.8% | (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #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 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 69.4% | (/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 99.7% | (/.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))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) |
| 54.6% | (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) | |
| 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))))) | |
| 94.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| ▶ | 92.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| 86.7% | (*.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))) | |
| ▶ | 99.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64)))) |
| 99.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) t)) | |
| ▶ | 54.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 99.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) | |
| 99.8% | (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| ▶ | 99.7% | (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
| 88.0% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
Compiled 778 to 534 computations (31.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) |
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 t t)) |
| ✓ | cost-diff | 0 | (*.f64 (exp.f64 (*.f64 t t)) z) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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)))) (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 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)))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64)))) |
| 10 912× | accelerator-lowering-fma.f32 |
| 10 912× | accelerator-lowering-fma.f64 |
| 3 172× | +-lowering-+.f64 |
| 3 172× | +-lowering-+.f32 |
| 3 092× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 341 |
| 1 | 93 | 337 |
| 2 | 248 | 337 |
| 3 | 965 | 337 |
| 4 | 2773 | 337 |
| 5 | 6085 | 337 |
| 0 | 8353 | 331 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (- 0 t)) (* t -1/2))) |
(* (- (* 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 |
(pow (exp (- 0 t)) (* t -1/2)) |
(exp (- 0 t)) |
(- 0 t) |
0 |
t |
(* t -1/2) |
-1/2 |
(* (* (- (* 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 |
(* (sqrt (* (exp (* t t)) z)) (* (- (* x 1/2) y) (sqrt 2))) |
(sqrt (* (exp (* t t)) z)) |
(* (exp (* t t)) z) |
(exp (* t t)) |
(* t t) |
t |
z |
(* (- (* x 1/2) y) (sqrt 2)) |
(- (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(sqrt 2) |
2 |
(/ 1 (/ (/ 1 (- (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))) |
1 |
(/ (/ 1 (- (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))) |
(/ 1 (- (* x 1/2) y)) |
(- (* 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 |
| Outputs |
|---|
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (- 0 t)) (* t -1/2))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64))))) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (* x 1/2) y) |
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 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 (- 0 t)) (* t -1/2)) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64))) |
(exp (- 0 t)) |
(exp.f64 (-.f64 #s(literal 0 binary64) t)) |
(- 0 t) |
(-.f64 #s(literal 0 binary64) t) |
0 |
#s(literal 0 binary64) |
t |
(* t -1/2) |
(*.f64 t #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (* x 1/2) y) |
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 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 (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 0 binary64)) |
(- (* x 1/2) y) |
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 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) |
(* (sqrt (* (exp (* t t)) z)) (* (- (* x 1/2) y) (sqrt 2))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt (* (exp (* t t)) z)) |
(sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) |
(* (exp (* t t)) z) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(exp (* t t)) |
(exp.f64 (*.f64 t t)) |
(* t t) |
(*.f64 t t) |
t |
z |
(* (- (* x 1/2) y) (sqrt 2)) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) |
(- (* x 1/2) y) |
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 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 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ 1 (/ (/ 1 (- (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
1 |
#s(literal 1 binary64) |
(/ (/ 1 (- (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) |
(/ 1 (- (* x 1/2) y)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(- (* x 1/2) y) |
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 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 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 t t)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.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% | (*.f64 (exp.f64 (*.f64 t t)) z) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 t t)) |
| ✓ | accuracy | 99.8% | (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.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 | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (exp.f64 (-.f64 #s(literal 0 binary64) t)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 44.0ms | 135× | 0 | exit |
| 39.0ms | 121× | 0 | valid |
Compiled 343 to 41 computations (88% saved)
ival-mult: 32.0ms (57.8% of total)ival-sqrt: 6.0ms (10.8% of total)ival-div: 4.0ms (7.2% of total)ival-exp: 4.0ms (7.2% of total)ival-pow: 3.0ms (5.4% of total)ival-add: 2.0ms (3.6% of total)ival-sub: 2.0ms (3.6% of total)exact: 1.0ms (1.8% 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 (- 0 t)) (* t -1/2)))> |
#<alt (- (* x 1/2) y)> |
#<alt (sqrt (* z 2))> |
#<alt (* z 2)> |
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)> |
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1))> |
#<alt (* (sqrt (* (exp (* t t)) z)) (* (- (* x 1/2) y) (sqrt 2)))> |
#<alt (sqrt (* (exp (* t t)) z))> |
#<alt (* (exp (* t t)) z)> |
#<alt (exp (* t t))> |
#<alt (/ 1 (/ (/ 1 (- (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))))> |
#<alt (/ (/ 1 (- (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))> |
#<alt (/ 1 (- (* x 1/2) y))> |
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))> |
#<alt (exp (- 0 t))> |
#<alt (* x 1/2)> |
#<alt (* t (+ (* (* t t) 1/8) 1/2))> |
#<alt (* (- (* x 1/2) y) (sqrt 2))> |
#<alt (* (* z 2) (exp (* t t)))> |
| 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))))> |
#<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)> |
#<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 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 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))))> |
#<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 (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* 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))))))))))> |
#<alt (* 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))))))))))> |
#<alt (* 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))))))))))> |
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))> |
#<alt (* -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)))))> |
#<alt (* -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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#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/2 (* (/ x (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))> |
#<alt (+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ x (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))))> |
#<alt (+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/4 (* (/ 1 (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/8 (* (/ x (* (pow y 4) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))))))> |
#<alt (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))> |
#<alt (/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x)> |
#<alt (/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))) x)> |
#<alt (/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (+ (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 16 (* (/ (pow y 3) (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) x)> |
#<alt (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))> |
#<alt (* -1 (/ (+ (* -4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))))) x))> |
#<alt (* -1 (/ (+ (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ (pow y 2) (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x))) x))> |
#<alt (* -1 (/ (+ (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -16 (* (/ (pow y 3) (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -8 (* (/ (pow y 2) (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x)) (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x))) x))> |
#<alt (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))> |
#<alt (+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 4 (* (/ y (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))> |
#<alt (+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ y (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))))> |
#<alt (+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 8 (* (/ 1 (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 16 (* (/ y (* (pow x 4) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))))))> |
#<alt (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))> |
#<alt (/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)> |
#<alt (/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))) y)> |
#<alt (/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (+ (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/8 (* (/ (pow x 3) (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) y)> |
#<alt (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))> |
#<alt (* -1 (/ (+ (* 1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ (pow x 2) (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (/ (pow x 3) (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 1/4 (* (/ (pow x 2) (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)) (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (+ (* -1/2 (* (/ (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (+ (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))) (* 1/8 (* (/ (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z)))))))> |
#<alt (+ (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))) (* (pow t 2) (+ (* -1/48 (* (/ (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))))))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (/ -1 y)> |
#<alt (- (* -1/2 (/ x (pow y 2))) (/ 1 y))> |
#<alt (- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))> |
#<alt (- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 4 (/ y x))) x)> |
#<alt (/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x)> |
#<alt (/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x)> |
#<alt (/ 2 x)> |
#<alt (* -1 (/ (- (* -4 (/ y x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x))> |
#<alt (/ 2 x)> |
#<alt (+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x)))> |
#<alt (+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))> |
#<alt (+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))> |
#<alt (/ -1 y)> |
#<alt (/ (- (* -1/2 (/ x y)) 1) y)> |
#<alt (/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y)> |
#<alt (/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y)> |
#<alt (/ -1 y)> |
#<alt (* -1 (/ (+ 1 (* 1/2 (/ x y))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y))> |
#<alt (* -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 (* -1 t))> |
#<alt (+ 1 (* t (- (* 1/2 t) 1)))> |
#<alt (+ 1 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))> |
#<alt (exp (neg t))> |
#<alt (exp (neg t))> |
#<alt (exp (neg t))> |
#<alt (exp (neg t))> |
#<alt (exp (* -1 t))> |
#<alt (exp (* -1 t))> |
#<alt (exp (* -1 t))> |
#<alt (exp (* -1 t))> |
#<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 (* y (sqrt 2)))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (* 1/2 (* x (sqrt 2)))> |
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))> |
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))> |
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))> |
#<alt (* 1/2 (* x (sqrt 2)))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))> |
#<alt (* 1/2 (* x (sqrt 2)))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))> |
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))> |
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))> |
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))> |
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))> |
#<alt (* 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))))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 100.0ms | t | @ | -inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (- 0 t)) (* t -1/2))) |
| 37.0ms | z | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (- 0 t)) (* t -1/2))) |
| 10.0ms | x | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (- 0 t)) (* t -1/2))) |
| 3.0ms | z | @ | inf | (/ (/ 1 (- (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))) |
| 2.0ms | y | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (- 0 t)) (* t -1/2))) |
| 1× | batch-egg-rewrite |
| 8 180× | accelerator-lowering-fma.f32 |
| 8 180× | accelerator-lowering-fma.f64 |
| 5 440× | *-lowering-*.f32 |
| 5 440× | *-lowering-*.f64 |
| 2 512× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 182 |
| 1 | 183 | 181 |
| 2 | 1214 | 172 |
| 0 | 8530 | 168 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (pow (exp (- 0 t)) (* t -1/2))) |
(- (* x 1/2) y) |
(sqrt (* z 2)) |
(* z 2) |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1) |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (+ (* (* t t) 1/8) 1/2))) 1)) |
(* (sqrt (* (exp (* t t)) z)) (* (- (* x 1/2) y) (sqrt 2))) |
(sqrt (* (exp (* t t)) z)) |
(* (exp (* t t)) z) |
(exp (* t t)) |
(/ 1 (/ (/ 1 (- (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t)))))) |
(/ (/ 1 (- (* x 1/2) y)) (sqrt (* (* z 2) (exp (* t t))))) |
(/ 1 (- (* x 1/2) y)) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(exp (- 0 t)) |
(* x 1/2) |
(* t (+ (* (* t t) 1/8) 1/2)) |
(* (- (* x 1/2) y) (sqrt 2)) |
(* (* z 2) (exp (* t t))) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 t t #s(literal 0 binary64))))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 t t #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) y))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 t t #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 t t #s(literal 0 binary64))))) (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 t t #s(literal 0 binary64)))))) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 t t #s(literal 0 binary64)))))))) |
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(/.f64 (fma.f64 t (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 t (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 t (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/512 binary64))) (fma.f64 t (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/64 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 0 binary64)) (*.f64 t (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64))))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/64 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 0 binary64)) (*.f64 t (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64))))) |
(*.f64 t (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) t) |
(*.f64 (*.f64 t (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 t (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 t (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/512 binary64))) (fma.f64 t (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 t (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (*.f64 #s(literal 1/64 binary64) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 0 binary64)) (*.f64 t (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64)))))))) |
(*.f64 (*.f64 (*.f64 t (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 t (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 t (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 t (fma.f64 (fma.f64 t (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 t (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 (*.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/64 binary64)) t) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/16 binary64)))))) |
(*.f64 (*.f64 t (fma.f64 t (*.f64 (*.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/64 binary64)) t) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 t (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 t (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)) t) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 (*.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/64 binary64)) t) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/16 binary64)))))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/64 binary64)) t) #s(literal -1/4 binary64)) t) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(+.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(+.f64 (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #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 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (fma.f64 t t #s(literal 0 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (fma.f64 t t #s(literal 0 binary64))))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 t t #s(literal 0 binary64)))) |
(*.f64 (exp.f64 (fma.f64 t t #s(literal 0 binary64))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 (*.f64 z (exp.f64 (fma.f64 t t #s(literal 0 binary64)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (fma.f64 t t #s(literal 0 binary64)))) z) |
(*.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)))) (exp.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64)))) |
| 1× | egg-herbie |
| 10 116× | accelerator-lowering-fma.f32 |
| 10 116× | accelerator-lowering-fma.f64 |
| 8 166× | *-lowering-*.f32 |
| 8 166× | *-lowering-*.f64 |
| 2 968× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 665 | 9976 |
| 1 | 2129 | 8881 |
| 2 | 7118 | 8730 |
| 0 | 8114 | 8461 |
| 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))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (* y (* (sqrt 2) (+ 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))) (* 1/2 (* (* x (* (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))) (* 1/2 (* (* x (* (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))) (* 1/2 (* (* x (* (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))) |
(* 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)))))))))) |
(* 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)))))))))) |
(* 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)))))))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (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))))) |
(* -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))))) |
(* 1/2 (* (* x (* (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))) (* 1/2 (* (* x (* (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))) (* 1/2 (* (* x (* (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))) (* 1/2 (* (* x (* (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 (+ (* -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))))) |
(* 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))))) |
(* -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)))))))))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y)))) |
(* (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)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(* 1/8 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))) |
(* 1/8 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(sqrt z) |
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z)))) |
(+ (sqrt z) (* (pow t 2) (+ (* 1/2 (sqrt z)) (* 1/2 (* (* (pow t 2) (- (* 1/2 z) (* 1/4 z))) (sqrt (/ 1 z))))))) |
(+ (sqrt z) (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/2 z) (* 1/4 z)))) (* 1/2 (* (* (pow t 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(sqrt (* z (exp (pow t 2)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (pow (sqrt -1) 2))) |
z |
(+ z (* (pow t 2) z)) |
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z))))) |
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z)))))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
1 |
(+ 1 (pow t 2)) |
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(* -1 (* (* 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))) |
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(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/2 (* (/ x (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ x (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/4 (* (/ 1 (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/8 (* (/ x (* (pow y 4) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))))) |
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (+ (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 16 (* (/ (pow y 3) (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) x) |
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(* -1 (/ (+ (* -4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ (pow y 2) (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -16 (* (/ (pow y 3) (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -8 (* (/ (pow y 2) (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x)) (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x))) x)) |
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 4 (* (/ y (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ y (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 8 (* (/ 1 (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 16 (* (/ y (* (pow x 4) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))))) |
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y) |
(/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))) y) |
(/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (+ (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/8 (* (/ (pow x 3) (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) y) |
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(* -1 (/ (+ (* 1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ (pow x 2) (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (/ (pow x 3) (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 1/4 (* (/ (pow x 2) (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)) (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y)) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* -1/2 (* (/ (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))) |
(+ (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))) (* 1/8 (* (/ (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))) (* (pow t 2) (+ (* -1/48 (* (/ (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))))))))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(/ -1 y) |
(- (* -1/2 (/ x (pow y 2))) (/ 1 y)) |
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(/ 2 x) |
(/ (+ 2 (* 4 (/ y x))) x) |
(/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x) |
(/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x) |
(/ 2 x) |
(* -1 (/ (- (* -4 (/ y x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x)) |
(/ 2 x) |
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(/ -1 y) |
(/ (- (* -1/2 (/ x y)) 1) y) |
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y) |
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y) |
(/ -1 y) |
(* -1 (/ (+ 1 (* 1/2 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y)) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
1 |
(+ 1 (* -1 t)) |
(+ 1 (* t (- (* 1/2 t) 1))) |
(+ 1 (* t (- (* t (+ 1/2 (* -1/6 t))) 1))) |
(exp (neg t)) |
(exp (neg t)) |
(exp (neg t)) |
(exp (neg t)) |
(exp (* -1 t)) |
(exp (* -1 t)) |
(exp (* -1 t)) |
(exp (* -1 t)) |
(* 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 (* y (sqrt 2))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(* 1/2 (* x (sqrt 2))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(* 1/2 (* x (sqrt 2))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* 1/2 (* x (sqrt 2))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(* -1 (* y (sqrt 2))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(* 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)))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.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))) (* 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) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x)) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 x (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) x)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 x (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) x)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 x (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 z))) (-.f64 #s(literal 0 binary64) x)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)))) (-.f64 #s(literal 0 binary64) x)) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x)) |
(+ (* -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) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.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 (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 y (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 y (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.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 (*.f64 (sqrt.f64 z) (fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x y))))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x y))))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x y))))) (-.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) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -2 binary64))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -2 binary64))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -2 binary64))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -2 binary64))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 t (*.f64 t (*.f64 (*.f64 (*.f64 t t) (*.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 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.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)))) (* (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)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) (*.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (sqrt.f64 z) #s(literal 1/48 binary64)) (*.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 (*.f64 t t) (*.f64 t t)))) |
(* (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) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* -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))) |
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(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* 1/2 (* x (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(* 1/2 (* x (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* -1 (* y (sqrt 2))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(*.f64 y (-.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(*.f64 y (-.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(*.f64 y (-.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (sqrt 2))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(fma.f64 t (*.f64 t (*.f64 z (fma.f64 t t #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) z)) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 t t) #s(literal 1 binary64)) z) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
Compiled 72 535 to 3 780 computations (94.8% saved)
38 alts after pruning (38 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 524 | 34 | 2 558 |
| Fresh | 7 | 4 | 11 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 536 | 38 | 2 574 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 t t #s(literal 0 binary64))))))) | |
| ▶ | 50.3% | (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
| 19.5% | (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) | |
| 54.6% | (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 46.6% | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))) | |
| 52.8% | (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 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)))))) | |
| 92.3% | (*.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) | |
| 94.2% | (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z) (*.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 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (fma.f64 z #s(literal 1/6 binary64) (*.f64 #s(literal -1/8 binary64) z)))))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) | |
| 54.6% | (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) | |
| 92.7% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 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))))) |
| 54.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 67.5% | (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (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 #s(literal 2 binary64)) y)))))) | |
| 52.6% | (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) | |
| 55.0% | (*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 94.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 92.1% | (*.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))) | |
| 86.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #s(literal 1 binary64))) | |
| 54.4% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 54.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| 57.8% | (*.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))) | |
| 63.4% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64)))) | |
| ▶ | 28.3% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 54.6% | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) | |
| 53.0% | (*.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)) | |
| ▶ | 57.3% | (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 55.7% | (*.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))) | |
| 29.6% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 57.8% | (*.f64 (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (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))) | |
| 55.6% | (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| ▶ | 94.9% | (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
| 85.4% | (*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) | |
| 63.4% | (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) | |
| 28.2% | (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) | |
| 88.0% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) | |
| 29.5% | (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) | |
| 93.2% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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))) (sqrt.f64 z))) |
Compiled 1 750 to 1 224 computations (30.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) |
| ✓ | cost-diff | 64 | (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 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 | 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 (*.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))))) |
| 7 468× | accelerator-lowering-fma.f32 |
| 7 468× | accelerator-lowering-fma.f64 |
| 4 142× | *-lowering-*.f32 |
| 4 142× | *-lowering-*.f64 |
| 1 670× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 351 |
| 1 | 116 | 348 |
| 2 | 312 | 348 |
| 3 | 914 | 340 |
| 4 | 2158 | 336 |
| 5 | 3810 | 336 |
| 6 | 5791 | 336 |
| 0 | 8265 | 319 |
| 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 |
(* (* (- 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 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 (* 1/4 x)) (- 0 (* y y))) (sqrt (* z 2))) (+ (* x 1/2) y)) |
(* (+ (* x (* 1/4 x)) (- 0 (* y y))) (sqrt (* z 2))) |
(+ (* x (* 1/4 x)) (- 0 (* y y))) |
x |
(* 1/4 x) |
1/4 |
(- 0 (* y y)) |
0 |
(* y y) |
y |
(sqrt (* z 2)) |
(* z 2) |
z |
2 |
(+ (* x 1/2) y) |
1/2 |
(* (sqrt (* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z)) (* (- (* x 1/2) y) (sqrt 2))) |
(sqrt (* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z)) |
(* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z) |
(+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) |
(* t t) |
t |
(+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1) |
(+ (* (* t t) 1/6) 1/2) |
1/6 |
1/2 |
1 |
z |
(* (- (* x 1/2) y) (sqrt 2)) |
(- (* x 1/2) y) |
(* x 1/2) |
x |
y |
(sqrt 2) |
2 |
| Outputs |
|---|
(* (- (* x 1/2) y) (sqrt (* (* z 2) (exp (* t t))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -1/2 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 |
(* (* (- 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 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 (* 1/4 x)) (- 0 (* y y))) (sqrt (* z 2))) (+ (* x 1/2) y)) |
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal 0 binary64)) |
(* (+ (* x (* 1/4 x)) (- 0 (* y y))) (sqrt (* z 2))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))) |
(+ (* x (* 1/4 x)) (- 0 (* y y))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
x |
(* 1/4 x) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 0 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(- 0 (* y y)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
0 |
#s(literal 0 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) |
(* (sqrt (* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z)) (* (- (* x 1/2) y) (sqrt 2))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(sqrt (* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z)) |
(sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z) |
(*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) |
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* t t) |
(*.f64 t t) |
t |
(+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1) |
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+ (* (* t t) 1/6) 1/2) |
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
z |
(* (- (* x 1/2) y) (sqrt 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (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)) |
x |
y |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 98.3% | (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 98.1% | (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z) |
| ✓ | accuracy | 92.4% | (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 94.9% | (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
| ✓ | accuracy | 93.1% | (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 62.5% | (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 86.8% | (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
| ✓ | 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)) (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 | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) |
| 90.0ms | 256× | 0 | valid |
Compiled 346 to 48 computations (86.1% saved)
ival-mult: 30.0ms (49.9% of total)ival-sqrt: 10.0ms (16.6% of total)ival-add: 5.0ms (8.3% of total)ival-sub: 4.0ms (6.6% of total)const: 4.0ms (6.6% of total)ival-div: 3.0ms (5% of total)ival-exp: 2.0ms (3.3% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (- (* 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 (* (* (- 0 y) (sqrt (* z 2))) 1)> |
#<alt (- 0 y)> |
#<alt (sqrt (* z 2))> |
#<alt (* z 2)> |
#<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 (* 1/4 x)) (- 0 (* y y))) (sqrt (* z 2))) (+ (* x 1/2) y))> |
#<alt (+ (* x (* 1/4 x)) (- 0 (* y y)))> |
#<alt (- 0 (* y y))> |
#<alt (* (sqrt (* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z)) (* (- (* x 1/2) y) (sqrt 2)))> |
#<alt (sqrt (* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z))> |
#<alt (* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z)> |
#<alt (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1)> |
#<alt (exp (* t t))> |
#<alt (* (- 0 y) (sqrt (* z 2)))> |
#<alt (* (* x (- 1/2 (/ y x))) (sqrt (* z 2)))> |
#<alt (* (+ (* x (* 1/4 x)) (- 0 (* y y))) (sqrt (* z 2)))> |
#<alt (* (- (* x 1/2) y) (sqrt 2))> |
| 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)))))))> |
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#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))> |
#<alt (sqrt z)> |
#<alt (+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z))))> |
#<alt (+ (sqrt z) (* (pow t 2) (+ (* 1/2 (sqrt z)) (* 1/2 (* (* (pow t 2) (- (* 1/2 z) (* 1/4 z))) (sqrt (/ 1 z)))))))> |
#<alt (+ (sqrt z) (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/2 z) (* 1/4 z)))) (* 1/2 (* (* (pow t 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))))> |
#<alt (* (* (pow t 3) (sqrt 1/6)) (sqrt z))> |
#<alt (* (pow t 3) (+ (* 1/4 (* (/ 1 (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* (sqrt z) (sqrt 1/6))))> |
#<alt (* (pow t 3) (+ (* 1/4 (* (/ 1 (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/6)))))> |
#<alt (* (pow t 3) (+ (* 1/4 (* (/ 1 (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2)))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/6))))))> |
#<alt (* -1 (* (* (pow t 3) (sqrt 1/6)) (sqrt z)))> |
#<alt (* -1 (* (pow t 3) (+ (* 1/4 (* (/ 1 (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* (sqrt z) (sqrt 1/6)))))> |
#<alt (* -1 (* (pow t 3) (+ (* 1/4 (* (/ 1 (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/6))))))> |
#<alt (* -1 (* (pow t 3) (+ (* 1/4 (* (/ 1 (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2)))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/6)))))))> |
#<alt (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (pow (sqrt -1) 2)))> |
#<alt z> |
#<alt (+ z (* (pow t 2) z))> |
#<alt (+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))> |
#<alt (+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z))))))> |
#<alt (* 1/6 (* (pow t 6) z))> |
#<alt (* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))> |
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))> |
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))> |
#<alt (* 1/6 (* (pow t 6) z))> |
#<alt (* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))> |
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))> |
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt 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 (* 1/6 (pow t 6))> |
#<alt (* (pow t 6) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))> |
#<alt (* (pow t 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (+ (/ 1 (pow t 4)) (/ 1 (pow t 6))))))> |
#<alt (* 1/6 (pow t 6))> |
#<alt (* (pow t 6) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))> |
#<alt (* (pow t 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (+ (/ 1 (pow t 4)) (/ 1 (pow t 6))))))> |
#<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)))> |
#<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 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 (* -1 (* y (sqrt 2)))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (* 1/2 (* x (sqrt 2)))> |
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))> |
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))> |
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))> |
#<alt (* 1/2 (* x (sqrt 2)))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))> |
#<alt (* 1/2 (* x (sqrt 2)))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))> |
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))> |
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))> |
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))> |
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))> |
150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | (* (* (- 0 y) (sqrt (* z 2))) 1) |
| 3.0ms | y | @ | 0 | (/ (* (+ (* x (* 1/4 x)) (- 0 (* y y))) (sqrt (* z 2))) (+ (* x 1/2) y)) |
| 3.0ms | z | @ | 0 | (* (sqrt (* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z)) (* (- (* x 1/2) y) (sqrt 2))) |
| 2.0ms | t | @ | inf | (* (sqrt (* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z)) (* (- (* x 1/2) y) (sqrt 2))) |
| 2.0ms | z | @ | 0 | (/ (* (+ (* x (* 1/4 x)) (- 0 (* y y))) (sqrt (* z 2))) (+ (* x 1/2) y)) |
| 1× | batch-egg-rewrite |
| 5 052× | accelerator-lowering-fma.f32 |
| 5 052× | accelerator-lowering-fma.f64 |
| 4 144× | *-lowering-*.f32 |
| 4 144× | *-lowering-*.f64 |
| 3 784× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 254 |
| 1 | 233 | 241 |
| 2 | 1977 | 228 |
| 0 | 9391 | 209 |
| 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))) |
(* (* (- 0 y) (sqrt (* z 2))) 1) |
(- 0 y) |
(sqrt (* z 2)) |
(* z 2) |
(* x (- 1/2 (/ y x))) |
(* (* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) 1) |
(- 1/2 (/ y x)) |
(/ y x) |
(/ (* (+ (* x (* 1/4 x)) (- 0 (* y y))) (sqrt (* z 2))) (+ (* x 1/2) y)) |
(+ (* x (* 1/4 x)) (- 0 (* y y))) |
(- 0 (* y y)) |
(* (sqrt (* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z)) (* (- (* x 1/2) y) (sqrt 2))) |
(sqrt (* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z)) |
(* (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) z) |
(+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1) |
(exp (* t t)) |
(* (- 0 y) (sqrt (* z 2))) |
(* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) |
(* (+ (* x (* 1/4 x)) (- 0 (* y y))) (sqrt (* z 2))) |
(* (- (* x 1/2) y) (sqrt 2)) |
| 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)))) y)) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (*.f64 y (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (*.f64 y (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) |
(fma.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)))) y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.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 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 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 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) y) #s(literal 3 binary64))) (fma.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 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) y) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) y)) (*.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)))) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) #s(literal 3 binary64))) (fma.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 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (-.f64 (*.f64 (*.f64 y (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (*.f64 y (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) (*.f64 y (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 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)) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (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 (fma.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 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (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)))) (/.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)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (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))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #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 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(+.f64 y (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.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 (fma.f64 y y #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 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (fma.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 y (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64)) (-.f64 y (*.f64 x #s(literal 1/2 binary64))))) |
(fma.f64 x #s(literal 1/2 binary64) y) |
(fma.f64 #s(literal 1/2 binary64) x y) |
(fma.f64 y (/.f64 y y) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 y (/.f64 (fma.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) y (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 y (fma.f64 y y #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64))) |
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(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 (sqrt.f64 #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 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
| 1× | egg-herbie |
| 8 992× | *-lowering-*.f32 |
| 8 992× | *-lowering-*.f64 |
| 8 472× | accelerator-lowering-fma.f32 |
| 8 472× | accelerator-lowering-fma.f64 |
| 1 756× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 9344 |
| 1 | 1484 | 8712 |
| 2 | 5548 | 8332 |
| 0 | 8171 | 7974 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* (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)))) |
(* -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)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* -1 y) |
(+ (* -1 y) (* 1/2 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)) |
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) |
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) |
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(* (* (pow t 3) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z)) |
(* (pow t 3) (+ (* 1/4 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* (sqrt z) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y)))))) |
(* (pow t 3) (+ (* 1/4 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (- (* 1/2 x) y))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(* (pow t 3) (+ (* 1/4 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (- (* 1/2 x) y))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2)))) (- (* 1/2 x) y))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y)))))))) |
(* -1 (* (* (pow t 3) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))) |
(* -1 (* (pow t 3) (+ (* 1/4 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* (sqrt z) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(* -1 (* (pow t 3) (+ (* 1/4 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (- (* 1/2 x) y))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y)))))))) |
(* -1 (* (pow t 3) (+ (* 1/4 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (- (* 1/2 x) y))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2)))) (- (* 1/2 x) y))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(sqrt z) |
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z)))) |
(+ (sqrt z) (* (pow t 2) (+ (* 1/2 (sqrt z)) (* 1/2 (* (* (pow t 2) (- (* 1/2 z) (* 1/4 z))) (sqrt (/ 1 z))))))) |
(+ (sqrt z) (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/2 z) (* 1/4 z)))) (* 1/2 (* (* (pow t 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))))) |
(* (* (pow t 3) (sqrt 1/6)) (sqrt z)) |
(* (pow t 3) (+ (* 1/4 (* (/ 1 (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* (sqrt z) (sqrt 1/6)))) |
(* (pow t 3) (+ (* 1/4 (* (/ 1 (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/6))))) |
(* (pow t 3) (+ (* 1/4 (* (/ 1 (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2)))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/6)))))) |
(* -1 (* (* (pow t 3) (sqrt 1/6)) (sqrt z))) |
(* -1 (* (pow t 3) (+ (* 1/4 (* (/ 1 (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* (sqrt z) (sqrt 1/6))))) |
(* -1 (* (pow t 3) (+ (* 1/4 (* (/ 1 (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/6)))))) |
(* -1 (* (pow t 3) (+ (* 1/4 (* (/ 1 (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2)))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/6))))))) |
(sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) |
(sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) |
(sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) |
(sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) |
(sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) |
(sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) |
(sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) |
(sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (pow (sqrt -1) 2))) |
z |
(+ z (* (pow t 2) z)) |
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z))))) |
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z)))))) |
(* 1/6 (* (pow t 6) z)) |
(* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2))))) |
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4))))) |
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6)))))) |
(* 1/6 (* (pow t 6) z)) |
(* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2))))) |
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4))))) |
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6)))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
1 |
(+ 1 (pow t 2)) |
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))) |
(* 1/6 (pow t 6)) |
(* (pow t 6) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* (pow t 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (+ (/ 1 (pow t 4)) (/ 1 (pow t 6)))))) |
(* 1/6 (pow t 6)) |
(* (pow t 6) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* (pow t 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (+ (/ 1 (pow t 4)) (/ 1 (pow t 6)))))) |
1 |
(+ 1 (pow t 2)) |
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* 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 (* (* (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)))) |
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) |
(* (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))) |
(* (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))) |
(+ (* -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)))) |
(* -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)))) |
(* (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)))) |
(* -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)))))) |
(* -1 (* y (sqrt 2))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(* 1/2 (* x (sqrt 2))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(* 1/2 (* x (sqrt 2))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* 1/2 (* x (sqrt 2))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(* -1 (* y (sqrt 2))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(-.f64 #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 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(-.f64 #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)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 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)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 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)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 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)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (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))))))) |
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(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (sqrt.f64 z) (*.f64 x x))))) |
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (sqrt.f64 z) (*.f64 x x))))) |
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (sqrt.f64 z) (*.f64 x x))))) |
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sqrt.f64 z))) |
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sqrt.f64 z))) |
(+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sqrt.f64 z))) |
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))))) |
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))))) |
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))))) |
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))))) |
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))))) |
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(* (pow y 2) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))))) |
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sqrt.f64 z))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* y (sqrt 2))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* 1/2 (* x (sqrt 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* 1/2 (* x (sqrt 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* 1/2 (* x (sqrt 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* -1 (* y (sqrt 2))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (sqrt 2))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(*.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))) |
Compiled 47 055 to 3 577 computations (92.4% saved)
42 alts after pruning (41 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 552 | 18 | 1 570 |
| Fresh | 10 | 23 | 33 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 566 | 42 | 1 608 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 t t #s(literal 0 binary64))))))) | |
| 3.8% | (/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) | |
| 39.5% | (/.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)) | |
| 56.4% | (/.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)) | |
| 27.2% | (/.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)) | |
| 54.6% | (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) | |
| 31.6% | (/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 92.3% | (*.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) | |
| 45.6% | (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) | |
| 92.7% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 54.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
| 90.0% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) t) t (*.f64 #s(literal 2 binary64) z)))) | |
| ▶ | 93.5% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) z) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z)))) |
| 85.5% | (*.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))))) | |
| ▶ | 99.8% | (*.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)))) |
| 54.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 67.5% | (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (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 #s(literal 2 binary64)) y)))))) | |
| 52.6% | (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) | |
| 63.4% | (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) | |
| 94.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| ▶ | 92.1% | (*.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))) |
| 86.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #s(literal 1 binary64))) | |
| 54.4% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 54.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| 57.8% | (*.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))) | |
| 63.4% | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64)))) | |
| 54.6% | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) | |
| 53.0% | (*.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)) | |
| ✓ | 57.3% | (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 55.7% | (*.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))) | |
| 57.8% | (*.f64 (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (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))) | |
| 55.6% | (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 29.5% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) | |
| 91.5% | (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 63.4% | (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) | |
| 28.3% | (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| ▶ | 2.7% | (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
| 28.2% | (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) | |
| 93.2% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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))) (sqrt.f64 z))) | |
| 28.2% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) | |
| 28.3% | (neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
Compiled 1 758 to 1 236 computations (29.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) z) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z)))) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) z) (*.f64 #s(literal 2 binary64) z)) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) z) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z)) |
| ✓ | 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
| ✓ | 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) |
| ✓ | cost-diff | 0 | (*.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)))) |
| 8 834× | accelerator-lowering-fma.f32 |
| 8 834× | accelerator-lowering-fma.f64 |
| 4 510× | *-lowering-*.f32 |
| 4 510× | *-lowering-*.f64 |
| 2 920× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 323 |
| 1 | 98 | 309 |
| 2 | 282 | 309 |
| 3 | 993 | 291 |
| 4 | 2422 | 291 |
| 5 | 6114 | 291 |
| 0 | 8261 | 276 |
| 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 |
(* (sqrt (* z 2)) y) |
(sqrt (* z 2)) |
(* z 2) |
z |
2 |
y |
(* (- (* x 1/2) y) (* (sqrt 2) (sqrt z))) |
(- (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(* (sqrt 2) (sqrt z)) |
(sqrt 2) |
2 |
(sqrt z) |
z |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (* (* t t) 1/8))) 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) |
t |
(* t (* (* t t) 1/8)) |
(* (* t t) 1/8) |
(* t t) |
1/8 |
1 |
(* (- (* x 1/2) y) (sqrt (+ (* (* t t) (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))) (* 2 z)))) |
(- (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(sqrt (+ (* (* t t) (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))) (* 2 z))) |
(+ (* (* t t) (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))) (* 2 z)) |
(* t t) |
t |
(+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z)) |
(* (+ (* (* t t) 1/3) 1) z) |
(+ (* (* t t) 1/3) 1) |
1/3 |
1 |
z |
(* 2 z) |
2 |
| Outputs |
|---|
(* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 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 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) |
(* (* z 2) (pow (exp t) t)) |
(*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64))) |
(* 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 |
(* (sqrt (* z 2)) y) |
(*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 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) (* (sqrt 2) (sqrt z))) |
(*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(- (* 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 2) (sqrt z)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(sqrt z) |
(sqrt.f64 z) |
z |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (* (* t t) 1/8))) 1)) |
(*.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #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) |
(fma.f64 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) |
t |
(* t (* (* t t) 1/8)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) |
(* (* t t) 1/8) |
(*.f64 t (*.f64 t #s(literal 1/8 binary64))) |
(* t t) |
(*.f64 t t) |
1/8 |
#s(literal 1/8 binary64) |
1 |
#s(literal 1 binary64) |
(* (- (* x 1/2) y) (sqrt (+ (* (* t t) (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))) (* 2 z)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 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 (+ (* (* t t) (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))) (* 2 z))) |
(sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+ (* (* t t) (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))) (* 2 z)) |
(*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(* t t) |
(*.f64 t t) |
t |
(+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z)) |
(*.f64 z (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(* (+ (* (* t t) 1/3) 1) z) |
(*.f64 z (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) |
(+ (* (* t t) 1/3) 1) |
(fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
1 |
#s(literal 1 binary64) |
z |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 98.3% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) z) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z)))) |
| ✓ | accuracy | 92.4% | (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) z) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z))) |
| ✓ | accuracy | 90.8% | (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) z) |
| ✓ | accuracy | 99.9% | (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 98.9% | (*.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))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 z) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
| ✓ | accuracy | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)) |
| ✓ | accuracy | 100.0% | (pow.f64 (exp.f64 t) t) |
| ✓ | accuracy | 99.8% | (*.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)))) |
| 119.0ms | 256× | 0 | valid |
Compiled 310 to 42 computations (86.5% saved)
ival-mult: 67.0ms (71.5% of total)ival-sqrt: 8.0ms (8.5% of total)ival-add: 5.0ms (5.3% of total)ival-pow: 5.0ms (5.3% of total)const: 4.0ms (4.3% of total)ival-exp: 2.0ms (2.1% of total)ival-sub: 1.0ms (1.1% of total)exact: 1.0ms (1.1% 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) t))))> |
#<alt (- (* x 1/2) y)> |
#<alt (sqrt (* (* z 2) (pow (exp t) t)))> |
#<alt (* (* z 2) (pow (exp t) t))> |
#<alt (* (sqrt (* z 2)) y)> |
#<alt (sqrt (* z 2))> |
#<alt (* z 2)> |
#<alt (* (- (* x 1/2) y) (* (sqrt 2) (sqrt z)))> |
#<alt (* (sqrt 2) (sqrt z))> |
#<alt (sqrt 2)> |
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (* (* t t) 1/8))) 1))> |
#<alt (+ (* (* t t) (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))) (* 2 z))> |
#<alt (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))> |
#<alt (* (- (* x 1/2) y) (sqrt (+ (* (* t t) (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))) (* 2 z))))> |
#<alt (pow (exp t) t)> |
#<alt (sqrt z)> |
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))> |
#<alt (* t (* (* t t) 1/8))> |
#<alt (+ (* t (* t (* (* t t) 1/8))) 1)> |
#<alt (* (+ (* (* t t) 1/3) 1) z)> |
#<alt (sqrt (+ (* (* t t) (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))) (* 2 z)))> |
#<alt (+ (* (* t t) 1/3) 1)> |
| 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)))> |
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#<alt (* 2 z)> |
#<alt (+ (* 2 z) (* (pow t 2) z))> |
#<alt (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))> |
#<alt (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))> |
#<alt (* 1/3 (* (pow t 4) z))> |
#<alt (* (pow t 4) (+ (* 1/3 z) (/ z (pow t 2))))> |
#<alt (* (pow t 4) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (/ z (pow t 2)))))> |
#<alt (* (pow t 4) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (/ z (pow t 2)))))> |
#<alt (* 1/3 (* (pow t 4) z))> |
#<alt (* (pow t 4) (+ (* 1/3 z) (/ z (pow t 2))))> |
#<alt (* (pow t 4) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (/ z (pow t 2)))))> |
#<alt (* (pow t 4) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (/ z (pow t 2)))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))> |
#<alt (* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))> |
#<alt (* -1 (* z (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)))> |
#<alt (* -1 (* z (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)))> |
#<alt (* -1 (* z (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)))> |
#<alt (* -1 (* z (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)))> |
#<alt (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))> |
#<alt (+ (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))> |
#<alt (+ (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))> |
#<alt (+ (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))> |
#<alt (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))> |
#<alt (* x (+ (* -1 (* (/ y x) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))> |
#<alt (* x (+ (* -1 (* (/ y x) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))> |
#<alt (* x (+ (* -1 (* (/ y x) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))> |
#<alt (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))) (* (/ y x) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))) (* (/ y x) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))) (* (/ y x) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))))> |
#<alt (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))> |
#<alt (+ (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))> |
#<alt (+ (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))> |
#<alt (+ (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))> |
#<alt (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))> |
#<alt (* y (+ (* -1 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))) (* 1/2 (* (/ x y) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))))> |
#<alt (* y (+ (* -1 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))) (* 1/2 (* (/ x y) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))))> |
#<alt (* y (+ (* -1 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))) (* 1/2 (* (/ x y) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))))> |
#<alt (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))> |
#<alt (* -1 (* y (+ (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))) (* -1/2 (* (/ x y) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))))> |
#<alt (* -1 (* y (+ (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))) (* -1/2 (* (/ x y) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))))> |
#<alt (* -1 (* y (+ (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))) (* -1/2 (* (/ x y) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))))> |
#<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) (- (+ (* 1/3 z) (/ z (pow (sqrt 2) 4))) (/ z (pow (sqrt 2) 2))))) (sqrt 2)) (sqrt (/ 1 z)))))))))> |
#<alt (* (* (pow t 3) (* (sqrt 1/3) (- (* 1/2 x) y))) (sqrt z))> |
#<alt (* (pow t 3) (+ (* 1/2 (* (/ (- (* 1/2 x) y) (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (* (sqrt 1/3) (- (* 1/2 x) y)))))> |
#<alt (* (pow t 3) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2))))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 1/2 x) y) (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (* (sqrt 1/3) (- (* 1/2 x) y))))))> |
#<alt (* (pow t 3) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2))))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) (* 1/2 (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (pow (sqrt 1/3) 2))))) (* (pow t 6) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 1/2 x) y) (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (* (sqrt 1/3) (- (* 1/2 x) y)))))))> |
#<alt (* -1 (* (* (pow t 3) (* (sqrt 1/3) (- (* 1/2 x) y))) (sqrt z)))> |
#<alt (* -1 (* (pow t 3) (+ (* 1/2 (* (/ (- (* 1/2 x) y) (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (* (sqrt 1/3) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (pow t 3) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2))))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 1/2 x) y) (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (* (sqrt 1/3) (- (* 1/2 x) y)))))))> |
#<alt (* -1 (* (pow t 3) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2))))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) (* 1/2 (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (pow (sqrt 1/3) 2))))) (* (pow t 6) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 1/2 x) y) (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (* (sqrt 1/3) (- (* 1/2 x) y))))))))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y))> |
#<alt (* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y))> |
#<alt (* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (* (sqrt -1) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (* (sqrt -1) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (* (sqrt -1) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (* (sqrt -1) (- (* 1/2 x) y))))> |
#<alt 1> |
#<alt (+ 1 (pow t 2))> |
#<alt (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))> |
#<alt (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (sqrt z)> |
#<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 (* (* 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 (* 1/8 (pow t 3))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* 1/8 (pow t 3))> |
#<alt (* 1/8 (pow t 3))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (pow t 4)))> |
#<alt (+ 1 (* 1/8 (pow t 4)))> |
#<alt (+ 1 (* 1/8 (pow t 4)))> |
#<alt (* 1/8 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/8 (/ 1 (pow t 4))))> |
#<alt (* (pow t 4) (+ 1/8 (/ 1 (pow t 4))))> |
#<alt (* (pow t 4) (+ 1/8 (/ 1 (pow t 4))))> |
#<alt (* 1/8 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/8 (/ 1 (pow t 4))))> |
#<alt (* (pow t 4) (+ 1/8 (/ 1 (pow t 4))))> |
#<alt (* (pow t 4) (+ 1/8 (/ 1 (pow t 4))))> |
#<alt z> |
#<alt (+ z (* 1/3 (* (pow t 2) z)))> |
#<alt (+ z (* 1/3 (* (pow t 2) z)))> |
#<alt (+ z (* 1/3 (* (pow t 2) z)))> |
#<alt (* 1/3 (* (pow t 2) z))> |
#<alt (* (pow t 2) (+ (* 1/3 z) (/ z (pow t 2))))> |
#<alt (* (pow t 2) (+ (* 1/3 z) (/ z (pow t 2))))> |
#<alt (* (pow t 2) (+ (* 1/3 z) (/ z (pow t 2))))> |
#<alt (* 1/3 (* (pow t 2) z))> |
#<alt (* (pow t 2) (+ (* 1/3 z) (/ z (pow t 2))))> |
#<alt (* (pow t 2) (+ (* 1/3 z) (/ z (pow t 2))))> |
#<alt (* (pow t 2) (+ (* 1/3 z) (/ z (pow t 2))))> |
#<alt (* z (+ 1 (* 1/3 (pow t 2))))> |
#<alt (* z (+ 1 (* 1/3 (pow t 2))))> |
#<alt (* z (+ 1 (* 1/3 (pow t 2))))> |
#<alt (* z (+ 1 (* 1/3 (pow t 2))))> |
#<alt (* z (+ 1 (* 1/3 (pow t 2))))> |
#<alt (* z (+ 1 (* 1/3 (pow t 2))))> |
#<alt (* z (+ 1 (* 1/3 (pow t 2))))> |
#<alt (* z (+ 1 (* 1/3 (pow t 2))))> |
#<alt (* z (+ 1 (* 1/3 (pow t 2))))> |
#<alt (* z (+ 1 (* 1/3 (pow t 2))))> |
#<alt (* z (+ 1 (* 1/3 (pow t 2))))> |
#<alt (* z (+ 1 (* 1/3 (pow t 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) (- (+ (* 1/3 z) (/ z (pow (sqrt 2) 4))) (/ z (pow (sqrt 2) 2)))) (sqrt 2)) (sqrt (/ 1 z)))))))))> |
#<alt (* (* (pow t 3) (sqrt 1/3)) (sqrt z))> |
#<alt (* (pow t 3) (+ (* 1/2 (* (/ 1 (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (sqrt 1/3))))> |
#<alt (* (pow t 3) (+ (* 1/2 (* (/ 1 (* (pow t 2) (sqrt 1/3))) (sqrt z))) (+ (* 1/2 (* (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/3)))))> |
#<alt (* (pow t 3) (+ (* 1/2 (* (/ 1 (* (pow t 2) (sqrt 1/3))) (sqrt z))) (+ (* 1/2 (* (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 2 z) (* 1/2 (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (pow (sqrt 1/3) 2)))) (* (pow t 6) (sqrt 1/3))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/3))))))> |
#<alt (* -1 (* (* (pow t 3) (sqrt 1/3)) (sqrt z)))> |
#<alt (* -1 (* (pow t 3) (+ (* 1/2 (* (/ 1 (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (sqrt 1/3)))))> |
#<alt (* -1 (* (pow t 3) (+ (* 1/2 (* (/ 1 (* (pow t 2) (sqrt 1/3))) (sqrt z))) (+ (* 1/2 (* (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/3))))))> |
#<alt (* -1 (* (pow t 3) (+ (* 1/2 (* (/ 1 (* (pow t 2) (sqrt 1/3))) (sqrt z))) (+ (* 1/2 (* (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 2 z) (* 1/2 (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (pow (sqrt 1/3) 2)))) (* (pow t 6) (sqrt 1/3))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/3)))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))))> |
#<alt (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))))> |
#<alt (* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (sqrt -1)))> |
#<alt (* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (sqrt -1)))> |
#<alt (* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (sqrt -1)))> |
#<alt (* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (sqrt -1)))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 (pow t 2)))> |
#<alt (+ 1 (* 1/3 (pow t 2)))> |
#<alt (+ 1 (* 1/3 (pow t 2)))> |
#<alt (* 1/3 (pow t 2))> |
#<alt (* (pow t 2) (+ 1/3 (/ 1 (pow t 2))))> |
#<alt (* (pow t 2) (+ 1/3 (/ 1 (pow t 2))))> |
#<alt (* (pow t 2) (+ 1/3 (/ 1 (pow t 2))))> |
#<alt (* 1/3 (pow t 2))> |
#<alt (* (pow t 2) (+ 1/3 (/ 1 (pow t 2))))> |
#<alt (* (pow t 2) (+ 1/3 (/ 1 (pow t 2))))> |
#<alt (* (pow t 2) (+ 1/3 (/ 1 (pow t 2))))> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | z | @ | 0 | (* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t)))) |
| 9.0ms | x | @ | 0 | (* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t)))) |
| 8.0ms | z | @ | 0 | (* (* z 2) (pow (exp t) t)) |
| 2.0ms | y | @ | 0 | (* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t)))) |
| 1.0ms | t | @ | inf | (* (- (* x 1/2) y) (sqrt (+ (* (* t t) (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))) (* 2 z)))) |
| 1× | batch-egg-rewrite |
| 10 284× | accelerator-lowering-fma.f32 |
| 10 284× | accelerator-lowering-fma.f64 |
| 5 762× | *-lowering-*.f32 |
| 5 762× | *-lowering-*.f64 |
| 3 828× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 238 |
| 1 | 171 | 224 |
| 2 | 1284 | 220 |
| 0 | 8511 | 205 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- (* x 1/2) y) (sqrt (* (* z 2) (pow (exp t) t)))) |
(- (* x 1/2) y) |
(sqrt (* (* z 2) (pow (exp t) t))) |
(* (* z 2) (pow (exp t) t)) |
(* (sqrt (* z 2)) y) |
(sqrt (* z 2)) |
(* z 2) |
(* (- (* x 1/2) y) (* (sqrt 2) (sqrt z))) |
(* (sqrt 2) (sqrt z)) |
(sqrt 2) |
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (* (* t t) 1/8))) 1)) |
(+ (* (* t t) (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))) (* 2 z)) |
(+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z)) |
(* (- (* x 1/2) y) (sqrt (+ (* (* t t) (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))) (* 2 z)))) |
(pow (exp t) t) |
(sqrt z) |
(* (- (* x 1/2) y) (sqrt (* z 2))) |
(* t (* (* t t) 1/8)) |
(+ (* t (* t (* (* t t) 1/8))) 1) |
(* (+ (* (* t t) 1/3) 1) z) |
(sqrt (+ (* (* t t) (+ (* (* t t) (* (+ (* (* t t) 1/3) 1) z)) (* 2 z))) (* 2 z))) |
(+ (* (* t t) 1/3) 1) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))) |
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #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 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y 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 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #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 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.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)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.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 #s(literal 1/2 binary64) x (-.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 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.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 #s(literal -1 binary64) y (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y)))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))))) |
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(/.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 t t)))) |
(/.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 t t))))) |
(/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/27 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 t t))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 t t)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/27 binary64))) (*.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/27 binary64))))) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 t t))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/27 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 t t))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t t))) #s(literal 1/81 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64))))) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t t))) #s(literal 1/81 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/27 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 t t)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 t t)))))) |
(*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/27 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 t t)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/3 binary64))))) |
| 1× | egg-herbie |
| 8 940× | *-lowering-*.f32 |
| 8 940× | *-lowering-*.f64 |
| 8 674× | accelerator-lowering-fma.f32 |
| 8 674× | accelerator-lowering-fma.f64 |
| 1 736× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 453 | 9453 |
| 1 | 1572 | 7813 |
| 2 | 6065 | 7551 |
| 0 | 8255 | 7139 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* (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)))) |
(* (* 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)) |
(* (sqrt z) (sqrt 2)) |
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(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
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(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
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(* -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))) |
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(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
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(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
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(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
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(* -1 (* (* y (sqrt 2)) (sqrt z))) |
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(* 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))) |
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(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z)))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/8 (pow t 4)))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/8 (pow t 4)))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/8 (pow t 4)))))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/8 (pow t 4)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/8 (pow t 4)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/8 (pow t 4)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z)))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/8 (pow t 4)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/8 (pow t 4)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/8 (pow t 4)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) y) (sqrt z))))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/8 (pow t 4)))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/8 (pow t 4)))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/8 (pow t 4))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/8 (pow t 4)))))))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/8 (pow t 4))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/8 (pow t 4))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/8 (pow t 4))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/8 (pow t 4))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/8 (pow t 4))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/8 (pow t 4))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/8 (pow t 4))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/8 (pow t 4))) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* 1/8 (pow t 4))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* 1/8 (pow t 4))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* 1/8 (pow t 4))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* 1/8 (pow t 4))) (- (* 1/2 x) y)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/8 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/8 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/8 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* 1/8 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (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)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))) |
(* 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))))))) |
(* 1/3 (* (pow t 6) z)) |
(* (pow t 6) (+ (* 1/3 z) (/ z (pow t 2)))) |
(* (pow t 6) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (/ z (pow t 2))))) |
(* (pow t 6) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (+ (* 2 (/ z (pow t 6))) (/ z (pow t 2)))))) |
(* 1/3 (* (pow t 6) z)) |
(* (pow t 6) (+ (* 1/3 z) (/ z (pow t 2)))) |
(* (pow t 6) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (/ z (pow t 2))))) |
(* (pow t 6) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (+ (* 2 (/ z (pow t 6))) (/ z (pow t 2)))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))) |
(* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))))) |
(* -1 (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) |
(* -1 (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) |
(* -1 (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) |
(* -1 (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) |
(* 2 z) |
(+ (* 2 z) (* (pow t 2) z)) |
(+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))) |
(+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))) |
(* 1/3 (* (pow t 4) z)) |
(* (pow t 4) (+ (* 1/3 z) (/ z (pow t 2)))) |
(* (pow t 4) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (/ z (pow t 2))))) |
(* (pow t 4) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (/ z (pow t 2))))) |
(* 1/3 (* (pow t 4) z)) |
(* (pow t 4) (+ (* 1/3 z) (/ z (pow t 2)))) |
(* (pow t 4) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (/ z (pow t 2))))) |
(* (pow t 4) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (/ z (pow t 2))))) |
(* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))) |
(* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))) |
(* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))) |
(* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))) |
(* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))) |
(* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))) |
(* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))) |
(* z (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2)))))) |
(* -1 (* z (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2))) |
(* -1 (* z (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2))) |
(* -1 (* z (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2))) |
(* -1 (* z (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2))) |
(* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) |
(+ (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))) |
(+ (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))) |
(+ (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))) |
(* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) |
(* x (+ (* -1 (* (/ y x) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))) |
(* x (+ (* -1 (* (/ y x) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))) |
(* x (+ (* -1 (* (/ y x) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))) |
(* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) |
(* -1 (* x (+ (* -1/2 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))) (* (/ y x) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))) |
(* -1 (* x (+ (* -1/2 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))) (* (/ y x) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))) |
(* -1 (* x (+ (* -1/2 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))) (* (/ y x) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))) |
(* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) |
(+ (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))) |
(+ (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))) |
(+ (* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) (* 1/2 (* x (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))) |
(* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) |
(* y (+ (* -1 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))) (* 1/2 (* (/ x y) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))) |
(* y (+ (* -1 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))) (* 1/2 (* (/ x y) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))) |
(* y (+ (* -1 (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))) (* 1/2 (* (/ x y) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))))) |
(* -1 (* y (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))))) |
(* -1 (* y (+ (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))) (* -1/2 (* (/ x y) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))))) |
(* -1 (* y (+ (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))) (* -1/2 (* (/ x y) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))))) |
(* -1 (* y (+ (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2))))))))) (* -1/2 (* (/ x y) (sqrt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (* z (+ 1 (* 1/3 (pow t 2)))))))))))))) |
(* (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) (- (+ (* 1/3 z) (/ z (pow (sqrt 2) 4))) (/ z (pow (sqrt 2) 2))))) (sqrt 2)) (sqrt (/ 1 z))))))))) |
(* (* (pow t 3) (* (sqrt 1/3) (- (* 1/2 x) y))) (sqrt z)) |
(* (pow t 3) (+ (* 1/2 (* (/ (- (* 1/2 x) y) (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (* (sqrt 1/3) (- (* 1/2 x) y))))) |
(* (pow t 3) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2))))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 1/2 x) y) (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (* (sqrt 1/3) (- (* 1/2 x) y)))))) |
(* (pow t 3) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2))))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) (* 1/2 (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (pow (sqrt 1/3) 2))))) (* (pow t 6) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 1/2 x) y) (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (* (sqrt 1/3) (- (* 1/2 x) y))))))) |
(* -1 (* (* (pow t 3) (* (sqrt 1/3) (- (* 1/2 x) y))) (sqrt z))) |
(* -1 (* (pow t 3) (+ (* 1/2 (* (/ (- (* 1/2 x) y) (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (* (sqrt 1/3) (- (* 1/2 x) y)))))) |
(* -1 (* (pow t 3) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2))))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 1/2 x) y) (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (* (sqrt 1/3) (- (* 1/2 x) y))))))) |
(* -1 (* (pow t 3) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2))))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (- (* 1/2 x) y) (- (* 2 z) (* 1/2 (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (pow (sqrt 1/3) 2))))) (* (pow t 6) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 1/2 x) y) (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (* (sqrt 1/3) (- (* 1/2 x) y)))))))) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y)) |
(* (sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) (- (* 1/2 x) y)) |
(* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (* (sqrt -1) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (* (sqrt -1) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (* (sqrt -1) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (* (sqrt -1) (- (* 1/2 x) y)))) |
1 |
(+ 1 (pow t 2)) |
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(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 (* (* 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))))) |
(* 1/8 (pow t 3)) |
(* 1/8 (pow t 3)) |
(* 1/8 (pow t 3)) |
(* 1/8 (pow t 3)) |
(* 1/8 (pow t 3)) |
(* 1/8 (pow t 3)) |
(* 1/8 (pow t 3)) |
(* 1/8 (pow t 3)) |
(* 1/8 (pow t 3)) |
(* 1/8 (pow t 3)) |
(* 1/8 (pow t 3)) |
(* 1/8 (pow t 3)) |
1 |
(+ 1 (* 1/8 (pow t 4))) |
(+ 1 (* 1/8 (pow t 4))) |
(+ 1 (* 1/8 (pow t 4))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (/ 1 (pow t 4)))) |
(* (pow t 4) (+ 1/8 (/ 1 (pow t 4)))) |
(* (pow t 4) (+ 1/8 (/ 1 (pow t 4)))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (/ 1 (pow t 4)))) |
(* (pow t 4) (+ 1/8 (/ 1 (pow t 4)))) |
(* (pow t 4) (+ 1/8 (/ 1 (pow t 4)))) |
z |
(+ z (* 1/3 (* (pow t 2) z))) |
(+ z (* 1/3 (* (pow t 2) z))) |
(+ z (* 1/3 (* (pow t 2) z))) |
(* 1/3 (* (pow t 2) z)) |
(* (pow t 2) (+ (* 1/3 z) (/ z (pow t 2)))) |
(* (pow t 2) (+ (* 1/3 z) (/ z (pow t 2)))) |
(* (pow t 2) (+ (* 1/3 z) (/ z (pow t 2)))) |
(* 1/3 (* (pow t 2) z)) |
(* (pow t 2) (+ (* 1/3 z) (/ z (pow t 2)))) |
(* (pow t 2) (+ (* 1/3 z) (/ z (pow t 2)))) |
(* (pow t 2) (+ (* 1/3 z) (/ z (pow t 2)))) |
(* z (+ 1 (* 1/3 (pow t 2)))) |
(* z (+ 1 (* 1/3 (pow t 2)))) |
(* z (+ 1 (* 1/3 (pow t 2)))) |
(* z (+ 1 (* 1/3 (pow t 2)))) |
(* z (+ 1 (* 1/3 (pow t 2)))) |
(* z (+ 1 (* 1/3 (pow t 2)))) |
(* z (+ 1 (* 1/3 (pow t 2)))) |
(* z (+ 1 (* 1/3 (pow t 2)))) |
(* z (+ 1 (* 1/3 (pow t 2)))) |
(* z (+ 1 (* 1/3 (pow t 2)))) |
(* z (+ 1 (* 1/3 (pow t 2)))) |
(* z (+ 1 (* 1/3 (pow t 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) (- (+ (* 1/3 z) (/ z (pow (sqrt 2) 4))) (/ z (pow (sqrt 2) 2)))) (sqrt 2)) (sqrt (/ 1 z))))))))) |
(* (* (pow t 3) (sqrt 1/3)) (sqrt z)) |
(* (pow t 3) (+ (* 1/2 (* (/ 1 (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (sqrt 1/3)))) |
(* (pow t 3) (+ (* 1/2 (* (/ 1 (* (pow t 2) (sqrt 1/3))) (sqrt z))) (+ (* 1/2 (* (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/3))))) |
(* (pow t 3) (+ (* 1/2 (* (/ 1 (* (pow t 2) (sqrt 1/3))) (sqrt z))) (+ (* 1/2 (* (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 2 z) (* 1/2 (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (pow (sqrt 1/3) 2)))) (* (pow t 6) (sqrt 1/3))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/3)))))) |
(* -1 (* (* (pow t 3) (sqrt 1/3)) (sqrt z))) |
(* -1 (* (pow t 3) (+ (* 1/2 (* (/ 1 (* (pow t 2) (sqrt 1/3))) (sqrt z))) (* (sqrt z) (sqrt 1/3))))) |
(* -1 (* (pow t 3) (+ (* 1/2 (* (/ 1 (* (pow t 2) (sqrt 1/3))) (sqrt z))) (+ (* 1/2 (* (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/3)))))) |
(* -1 (* (pow t 3) (+ (* 1/2 (* (/ 1 (* (pow t 2) (sqrt 1/3))) (sqrt z))) (+ (* 1/2 (* (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (* (pow t 4) (sqrt 1/3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 2 z) (* 1/2 (/ (- (* 2 z) (* 1/4 (/ z (pow (sqrt 1/3) 2)))) (pow (sqrt 1/3) 2)))) (* (pow t 6) (sqrt 1/3))) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt 1/3))))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) |
(* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (sqrt -1))) |
(* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (sqrt -1))) |
(* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (sqrt -1))) |
(* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (sqrt -1))) |
1 |
(+ 1 (* 1/3 (pow t 2))) |
(+ 1 (* 1/3 (pow t 2))) |
(+ 1 (* 1/3 (pow t 2))) |
(* 1/3 (pow t 2)) |
(* (pow t 2) (+ 1/3 (/ 1 (pow t 2)))) |
(* (pow t 2) (+ 1/3 (/ 1 (pow t 2)))) |
(* (pow t 2) (+ 1/3 (/ 1 (pow t 2)))) |
(* 1/3 (pow t 2)) |
(* (pow t 2) (+ 1/3 (/ 1 (pow t 2)))) |
(* (pow t 2) (+ 1/3 (/ 1 (pow t 2)))) |
(* (pow t 2) (+ 1/3 (/ 1 (pow t 2)))) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) y)) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) y) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) y) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) y) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) y) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) y) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) y) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) y)) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
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(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) |
(sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) |
(sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))))))) |
(sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt (* z (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ 1 (* 1/3 (pow t 2))))) 2)) 2))) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/3 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/3 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(* 1/3 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/3 binary64)) |
(* (pow t 2) (+ 1/3 (/ 1 (pow t 2)))) |
(fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(* (pow t 2) (+ 1/3 (/ 1 (pow t 2)))) |
(fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(* (pow t 2) (+ 1/3 (/ 1 (pow t 2)))) |
(fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(* 1/3 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/3 binary64)) |
(* (pow t 2) (+ 1/3 (/ 1 (pow t 2)))) |
(fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(* (pow t 2) (+ 1/3 (/ 1 (pow t 2)))) |
(fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(* (pow t 2) (+ 1/3 (/ 1 (pow t 2)))) |
(fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
Compiled 58 196 to 3 247 computations (94.4% saved)
46 alts after pruning (44 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 467 | 16 | 1 483 |
| Fresh | 8 | 28 | 36 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 479 | 46 | 1 525 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 t t #s(literal 0 binary64))))))) | |
| 3.8% | (/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) | |
| 39.5% | (/.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)) | |
| 56.4% | (/.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)) | |
| 27.2% | (/.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)) | |
| 54.6% | (/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) | |
| 31.6% | (/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 92.7% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 93.5% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64))))) | |
| 90.0% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) | |
| 85.5% | (*.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))))) | |
| 54.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 96.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (fma.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 t (*.f64 t #s(literal 1/2 binary64)))))) | |
| 52.6% | (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) | |
| 28.2% | (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) | |
| 63.4% | (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (exp.f64 t) t)))) | |
| 63.4% | (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))) | |
| 59.7% | (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) | |
| 93.2% | (*.f64 (*.f64 (fma.f64 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 94.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 86.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #s(literal 1 binary64))) | |
| 52.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (fma.f64 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal -1 binary64)))) | |
| 48.4% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))) | |
| 54.4% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 54.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| 57.8% | (*.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))) | |
| 57.8% | (*.f64 (*.f64 (-.f64 #s(literal 0 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))) | |
| 54.6% | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) | |
| 55.4% | (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) | |
| 53.0% | (*.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)) | |
| ✓ | 57.3% | (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 55.7% | (*.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))) | |
| 55.5% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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))) | |
| 57.8% | (*.f64 (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (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))) | |
| 29.5% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) | |
| 28.2% | (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) | |
| 29.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) | |
| 60.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) | |
| 91.5% | (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 63.4% | (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) | |
| 28.3% | (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| ✓ | 2.7% | (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
| 28.2% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) | |
| 67.4% | (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)))))) | |
| 28.3% | (neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
Compiled 2 588 to 1 009 computations (61% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #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)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #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 t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) t) t (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 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 #s(literal 1/8 binary64) (*.f64 (*.f64 t 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 (*.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 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 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 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (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 #s(literal 1/2 binary64) (sqrt.f64 z))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (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 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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))) (sqrt.f64 z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) z) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z)))) |
(/.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 (*.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 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 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)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (fma.f64 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))) |
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (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 #s(literal 2 binary64)) y)))))) |
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #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 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z) (*.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 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (fma.f64 z #s(literal 1/6 binary64) (*.f64 #s(literal -1/8 binary64) z)))))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 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 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 t t #s(literal 0 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 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.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 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))) (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 x #s(literal 1/2 binary64)) y) (exp.f64 (fma.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 t (*.f64 t #s(literal 1/2 binary64)))))) |
(*.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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) 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 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #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)))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64)))) |
13 calls:
| 118.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 82.0ms | (*.f64 t t) |
| 75.0ms | t |
| 64.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 38.0ms | 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 |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #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)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #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 t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) t) t (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 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 #s(literal 1/8 binary64) (*.f64 (*.f64 t 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 (*.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 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 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 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (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 #s(literal 1/2 binary64) (sqrt.f64 z))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (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 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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))) (sqrt.f64 z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) z) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z)))) |
(/.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 (*.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 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 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)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (fma.f64 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))) |
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (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 #s(literal 2 binary64)) y)))))) |
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #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 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z) (*.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 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (fma.f64 z #s(literal 1/6 binary64) (*.f64 #s(literal -1/8 binary64) z)))))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 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 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 t t #s(literal 0 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 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.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 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))) (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 x #s(literal 1/2 binary64)) y) (exp.f64 (fma.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 t (*.f64 t #s(literal 1/2 binary64)))))) |
(*.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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) 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:
| 722.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 262.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 42.0ms | y |
| 36.0ms | t |
| 34.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | t |
| 99.8% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 99.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 99.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 99.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 99.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 99.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 99.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 99.8% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #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)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #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 t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) t) t (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 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 #s(literal 1/8 binary64) (*.f64 (*.f64 t 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 (*.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 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 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 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (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 #s(literal 1/2 binary64) (sqrt.f64 z))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (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 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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))) (sqrt.f64 z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) z) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z)))) |
(/.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 (*.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 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 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)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (fma.f64 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))) |
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (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 #s(literal 2 binary64)) y)))))) |
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #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 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z) (*.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 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (fma.f64 z #s(literal 1/6 binary64) (*.f64 #s(literal -1/8 binary64) z)))))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 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 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (fma.f64 t t #s(literal 0 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 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.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 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))) (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 x #s(literal 1/2 binary64)) y) (exp.f64 (fma.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 t (*.f64 t #s(literal 1/2 binary64)))))) |
| 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:
| 77.0ms | x |
| 36.0ms | z |
| 30.0ms | (*.f64 t t) |
| 29.0ms | (*.f64 z #s(literal 2 binary64)) |
| 29.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | t |
| 99.8% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 99.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 99.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 99.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 99.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 99.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 99.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 99.8% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #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)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #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 t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) t) t (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 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 #s(literal 1/8 binary64) (*.f64 (*.f64 t 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 (*.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 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 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 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (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 #s(literal 1/2 binary64) (sqrt.f64 z))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (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 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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))) (sqrt.f64 z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) z) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z)))) |
(/.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 (*.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 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 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)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (fma.f64 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))) |
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (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 #s(literal 2 binary64)) y)))))) |
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #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 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z) (*.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 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (fma.f64 z #s(literal 1/6 binary64) (*.f64 #s(literal -1/8 binary64) z)))))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
13 calls:
| 22.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 21.0ms | (*.f64 z #s(literal 2 binary64)) |
| 21.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 20.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 20.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 1 | x |
| 94.9% | 1 | y |
| 94.9% | 1 | z |
| 94.9% | 1 | t |
| 94.9% | 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)))) |
| 94.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 94.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 94.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 94.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 94.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 94.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 94.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 94.9% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #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)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #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 t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) t) t (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 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 #s(literal 1/8 binary64) (*.f64 (*.f64 t 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 (*.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 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 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 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (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 #s(literal 1/2 binary64) (sqrt.f64 z))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (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 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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))) (sqrt.f64 z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) z) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z)))) |
(/.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 (*.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)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
13 calls:
| 25.0ms | y |
| 19.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 18.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 18.0ms | t |
| 18.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 1 | x |
| 94.6% | 1 | y |
| 94.6% | 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)))) |
| 94.6% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 94.6% | 1 | z |
| 98.0% | 3 | t |
| 94.6% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 94.6% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 94.6% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 94.6% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 94.6% | 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 |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #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)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #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 t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) t) t (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 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 #s(literal 1/8 binary64) (*.f64 (*.f64 t 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 (*.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 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 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 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (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 #s(literal 1/2 binary64) (sqrt.f64 z))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (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 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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))) (sqrt.f64 z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64)) z) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
13 calls:
| 22.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 21.0ms | (*.f64 z #s(literal 2 binary64)) |
| 19.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 19.0ms | z |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 1 | x |
| 94.6% | 1 | y |
| 94.6% | 1 | z |
| 94.6% | 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)))) |
| 94.6% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 94.6% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 94.6% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 94.6% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 94.6% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 94.6% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 94.6% | 1 | t |
| 94.6% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 94.6% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #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)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #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 t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) t) t (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 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 #s(literal 1/8 binary64) (*.f64 (*.f64 t 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 (*.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 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 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 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (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 #s(literal 1/2 binary64) (sqrt.f64 z))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (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 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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))) (sqrt.f64 z))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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))) (sqrt.f64 z))) |
13 calls:
| 28.0ms | y |
| 27.0ms | (*.f64 z #s(literal 2 binary64)) |
| 17.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 16.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 16.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | x |
| 93.2% | 1 | y |
| 93.2% | 1 | z |
| 93.2% | 1 | t |
| 93.2% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 93.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 93.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 93.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 93.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 93.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 93.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 93.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 93.2% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #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)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #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 t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) t) t (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 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 #s(literal 1/8 binary64) (*.f64 (*.f64 t 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 (*.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 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 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 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 (fma.f64 t t #s(literal 0 binary64)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (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 #s(literal 1/2 binary64) (sqrt.f64 z))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (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 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
13 calls:
| 29.0ms | x |
| 18.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 17.0ms | (*.f64 t t) |
| 16.0ms | t |
| 16.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 93.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 93.2% | 1 | x |
| 93.2% | 1 | y |
| 93.2% | 1 | z |
| 93.2% | 1 | t |
| 93.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 93.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 93.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 93.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 93.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 93.2% | 1 | (*.f64 t t) |
| 93.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #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)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #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 t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) t) t (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 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 #s(literal 1/8 binary64) (*.f64 (*.f64 t 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 (*.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 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 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:
| 28.0ms | (*.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)))) |
| 13.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 13.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 12.0ms | y |
| 12.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 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)))) |
| 92.3% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 92.3% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 92.3% | 1 | x |
| 92.3% | 1 | y |
| 92.3% | 1 | z |
| 92.3% | 1 | t |
| 92.3% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 92.3% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 92.3% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 92.3% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 92.3% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 92.3% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #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)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #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 t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) t) t (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 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 #s(literal 1/8 binary64) (*.f64 (*.f64 t 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 (*.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 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
13 calls:
| 909.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 873.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 14.0ms | t |
| 13.0ms | x |
| 12.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 92.1% | 1 | y |
| 92.1% | 1 | z |
| 92.1% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 92.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 92.1% | 1 | x |
| 92.1% | 1 | t |
| 92.1% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 92.1% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 92.1% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 92.1% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 92.1% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 92.1% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #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)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #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 t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) t) t (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 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 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))) |
13 calls:
| 33.0ms | z |
| 24.0ms | (*.f64 z #s(literal 2 binary64)) |
| 17.0ms | t |
| 11.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 90.0% | 1 | y |
| 90.0% | 1 | z |
| 90.0% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 90.0% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 90.0% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 90.0% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 90.0% | 1 | x |
| 92.7% | 2 | t |
| 90.0% | 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)))) |
| 90.0% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 92.7% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 92.7% | 2 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #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)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #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 t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) t) t (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 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))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
6 calls:
| 14.0ms | x |
| 13.0ms | t |
| 12.0ms | (*.f64 t t) |
| 10.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 9.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 1 | x |
| 90.0% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 90.0% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 90.0% | 1 | t |
| 90.0% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 90.0% | 1 | (*.f64 t t) |
Compiled 43 to 34 computations (20.9% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 #s(literal 1/2 binary64) t) #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)) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 t t #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 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 #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))) |
| 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 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:
| 33.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 21.0ms | (*.f64 t t) |
| 12.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 10.0ms | y |
| 10.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 86.7% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 86.7% | 1 | y |
| 88.5% | 2 | z |
| 86.7% | 1 | t |
| 86.7% | 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)))) |
| 88.5% | 2 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 88.5% | 2 | (*.f64 z #s(literal 2 binary64)) |
| 86.7% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 86.7% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 86.7% | 1 | (*.f64 t t) |
| 86.7% | 1 | x |
| 86.7% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t t #s(literal 1 binary64))))) |
13 calls:
| 12.0ms | x |
| 10.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 8.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 8.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 7.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 1 | x |
| 85.5% | 1 | y |
| 85.5% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 85.5% | 1 | t |
| 85.5% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 85.5% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 85.5% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 85.5% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 85.5% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 85.5% | 1 | (*.f64 t t) |
| 85.5% | 1 | z |
| 85.5% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 85.5% | 1 | (*.f64 z #s(literal 2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
13 calls:
| 7.0ms | y |
| 7.0ms | (*.f64 z #s(literal 2 binary64)) |
| 6.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 6.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 6.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 1 | y |
| 54.6% | 1 | z |
| 54.6% | 1 | t |
| 54.6% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 54.6% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 54.6% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 54.6% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 54.6% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 54.6% | 1 | (*.f64 t t) |
| 54.6% | 1 | x |
| 54.6% | 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)))) |
| 54.6% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 54.6% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) |
13 calls:
| 3.0ms | (*.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)))) |
| 3.0ms | (*.f64 t t) |
| 2.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.0% | 2 | t |
| 42.9% | 3 | y |
| 32.0% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 32.0% | 2 | (*.f64 t t) |
| 34.1% | 4 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 34.0% | 2 | z |
| 31.6% | 2 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 34.0% | 2 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 34.0% | 2 | (*.f64 z #s(literal 2 binary64)) |
| 31.6% | 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)))) |
| 28.3% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 44.4% | 3 | x |
| 44.4% | 3 | (*.f64 x #s(literal 1/2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
| Outputs |
|---|
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
13 calls:
| 3.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 2.0ms | z |
| 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 | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.3% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 28.3% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 28.3% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 28.3% | 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)))) |
| 28.3% | 1 | t |
| 28.3% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 28.3% | 1 | (*.f64 t t) |
| 28.3% | 1 | z |
| 28.3% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 28.3% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 28.3% | 1 | y |
| 28.3% | 1 | x |
| 28.3% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
13 calls:
| 108.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 5.0ms | (*.f64 t t) |
| 1.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 1.0ms | y |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.7% | 1 | x |
| 2.7% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 2.7% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 2.7% | 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)))) |
| 2.7% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 2.7% | 1 | y |
| 2.7% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 2.7% | 1 | z |
| 2.7% | 1 | t |
| 2.7% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 2.7% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 2.7% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 2.7% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.28673749650102e+46 | 4.4016006896715944e+60 |
| 0.0ms | 84.1052475233275 | 123374854.50828217 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4115520692395.019 | 238535078475610.94 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 26682753751981064.0 | 7041384330955224000.0 |
Compiled 24 to 23 computations (4.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7096506855810017e+72 | 3.6597361739641645e+88 |
| 0.0ms | -4.987242741022157e-43 | -5.233468762413518e-51 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | egg-herbie |
| 90× | *-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 10× | +-commutative_binary64 |
| 8× | neg-mul-1_binary64 |
| 4× | sub0-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 450 |
| 1 | 182 | 450 |
| 2 | 194 | 450 |
| 3 | 199 | 450 |
| 4 | 200 | 450 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64)))) |
(*.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))))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(if (<=.f64 (*.f64 t t) #s(literal 100 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 100000000000000004384584304507619735463404765184 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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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))) (sqrt.f64 z))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 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))) |
(*.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))) |
(if (<=.f64 (*.f64 t t) #s(literal 5000000000000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(if (<=.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 50000000000000000 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 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))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -5021681388309345/12554203470773361527671578846415332832204710888928069025792 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4999999999999999915168483974806628990154540120342328160919227099783364608 binary64)) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64)))) |
(*.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))))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(if (<=.f64 (*.f64 t t) #s(literal 100 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 100000000000000004384584304507619735463404765184 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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 t t) #s(literal 100 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 z (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 100000000000000004384584304507619735463404765184 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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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))) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.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))) (sqrt.f64 z))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 t (*.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(*.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 (-.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))) |
(if (<=.f64 (*.f64 t t) #s(literal 5000000000000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))) |
(if (<=.f64 (*.f64 t t) #s(literal 5000000000000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 z #s(literal 2 binary64))))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 50000000000000000 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 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))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -5021681388309345/12554203470773361527671578846415332832204710888928069025792 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4999999999999999915168483974806628990154540120342328160919227099783364608 binary64)) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -5021681388309345/12554203470773361527671578846415332832204710888928069025792 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4999999999999999915168483974806628990154540120342328160919227099783364608 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(neg.f64 (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) y) |
(*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 18 894× | accelerator-lowering-fma.f32 |
| 18 894× | accelerator-lowering-fma.f64 |
| 10 284× | accelerator-lowering-fma.f32 |
| 10 284× | accelerator-lowering-fma.f64 |
| 10 116× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 238 |
| 1 | 171 | 224 |
| 2 | 1284 | 220 |
| 0 | 8511 | 205 |
| 0 | 46 | 254 |
| 1 | 233 | 241 |
| 2 | 1977 | 228 |
| 0 | 9391 | 209 |
| 0 | 15 | 43 |
| 1 | 54 | 42 |
| 2 | 276 | 42 |
| 3 | 2343 | 42 |
| 0 | 8608 | 42 |
| 0 | 39 | 182 |
| 1 | 183 | 181 |
| 2 | 1214 | 172 |
| 0 | 8530 | 168 |
| 0 | 453 | 9453 |
| 1 | 1572 | 7813 |
| 2 | 6065 | 7551 |
| 0 | 8255 | 7139 |
| 0 | 433 | 9344 |
| 1 | 1484 | 8712 |
| 2 | 5548 | 8332 |
| 0 | 8171 | 7974 |
| 0 | 665 | 9976 |
| 1 | 2129 | 8881 |
| 2 | 7118 | 8730 |
| 0 | 8114 | 8461 |
| 0 | 137 | 2312 |
| 1 | 456 | 1644 |
| 2 | 1587 | 1551 |
| 3 | 4482 | 1548 |
| 0 | 8852 | 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 1 416 to 798 computations (43.6% saved)
(abs t)
Compiled 1 344 to 550 computations (59.1% saved)
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