
Time bar (total: 11.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 24.9% | 74.8% | 0.2% | 0% | 0% | 0% | 6 |
| 25% | 24.9% | 74.8% | 0.2% | 0% | 0% | 0% | 7 |
| 25% | 24.9% | 74.8% | 0.2% | 0% | 0% | 0% | 8 |
| 37.5% | 37.4% | 62.3% | 0.2% | 0% | 0% | 0% | 9 |
| 40.6% | 40.5% | 59.2% | 0.2% | 0% | 0% | 0% | 10 |
| 51.7% | 48.3% | 45.2% | 0.2% | 0% | 6.2% | 0% | 11 |
| 51.7% | 48.3% | 45.2% | 0.2% | 0% | 6.2% | 0% | 12 |
Compiled 16 to 14 computations (12.5% saved)
| 727.0ms | 8 256× | 0 | valid |
| 250.0ms | 2 077× | 0 | invalid |
ival-mult: 423.0ms (68.5% of total)ival-sqrt: 72.0ms (11.7% of total)ival-div: 65.0ms (10.5% of total)ival-sub: 46.0ms (7.5% of total)ival-true: 7.0ms (1.1% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 106 | 0 | - | 3 | (2.891782760515099e-244 -1.0946037883006499e-125 -1.2741895743433103e-159 -1.962714427070619e-72 -9.00437684558615e-290) | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 39 | 0 | - | 1 | (1.4776972535716533e+42 -9.999958686330015e-98 2.3515755425322266e-269 -2.6251753942139374e-187 3.9225965551334014e-16) | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 26 | 0 | - | 3 | (1.0632952252093515e-104 -1.1272747251240946e-206 -2.504398775584591e+294 2.9648257203690828e+299 -2.718339208285082e+143) | (*.f64 (*.f64 x y) z) |
| 1 | 0 | - | 0 | - | (-.f64 (*.f64 z z) (*.f64 t a)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 t a) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | oflow-rescue | 92 | 0 |
| ↳ | (-.f64 (*.f64 z z) (*.f64 t a)) | overflow | 92 | |
| ↳ | (*.f64 t a) | overflow | 26 | |
| ↳ | (*.f64 z z) | overflow | 72 | |
/.f64 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | o/n | 31 | 0 |
| ↳ | (*.f64 x y) | overflow | 32 | |
| ↳ | (*.f64 (*.f64 x y) z) | overflow | 47 | |
*.f64 | (*.f64 (*.f64 x y) z) | n*o | 13 | 0 |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | uflow-rescue | 11 | 0 |
| ↳ | (-.f64 (*.f64 z z) (*.f64 t a)) | underflow | 11 | |
| ↳ | (*.f64 t a) | underflow | 44 | |
| ↳ | (*.f64 z z) | underflow | 46 | |
*.f64 | (*.f64 (*.f64 x y) z) | n*u | 10 | 0 |
/.f64 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | u/n | 7 | 0 |
| ↳ | (*.f64 x y) | underflow | 27 | |
| ↳ | (*.f64 (*.f64 x y) z) | underflow | 35 | |
-.f64 | (-.f64 (*.f64 z z) (*.f64 t a)) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 z z) | overflow | 72 | |
| ↳ | (*.f64 t a) | overflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 105 | 3 |
| - | 23 | 125 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 105 | 0 | 3 |
| - | 23 | 0 | 125 |
| number | freq |
|---|---|
| 0 | 128 |
| 1 | 91 |
| 2 | 37 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 47.0ms | 512× | 0 | valid |
Compiled 114 to 40 computations (64.9% saved)
ival-mult: 12.0ms (46.3% of total)ival-sqrt: 8.0ms (30.8% of total)ival-div: 3.0ms (11.6% of total)ival-sub: 2.0ms (7.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 536× | unsub-neg |
| 1 194× | div-sub |
| 1 182× | times-frac |
| 1 032× | associate-/l* |
| 866× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 295 |
| 1 | 260 | 285 |
| 2 | 625 | 285 |
| 3 | 1662 | 285 |
| 4 | 4345 | 285 |
| 5 | 6481 | 285 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 31 | 14 |
| 2 | 59 | 14 |
| 3 | 89 | 14 |
| 4 | 119 | 14 |
| 5 | 147 | 14 |
| 6 | 196 | 14 |
| 7 | 249 | 14 |
| 8 | 429 | 14 |
| 9 | 958 | 14 |
| 10 | 1287 | 14 |
| 11 | 2165 | 14 |
| 12 | 3188 | 14 |
| 13 | 3378 | 14 |
| 14 | 3400 | 14 |
| 15 | 3400 | 14 |
| 0 | 3400 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(negabs z)
(negabs y)
(negabs x)
(sort x y)
(sort t a)
Compiled 14 to 12 computations (14.3% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.4% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 816× | lower-fma.f64 |
| 816× | lower-fma.f32 |
| 760× | lower-*.f32 |
| 752× | lower-*.f64 |
| 652× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 0 | 19 | 48 |
| 1 | 31 | 48 |
| 2 | 59 | 48 |
| 3 | 89 | 48 |
| 4 | 119 | 48 |
| 5 | 147 | 48 |
| 6 | 196 | 48 |
| 7 | 249 | 48 |
| 8 | 429 | 48 |
| 9 | 958 | 48 |
| 10 | 1287 | 48 |
| 11 | 2165 | 48 |
| 12 | 3188 | 48 |
| 13 | 3378 | 48 |
| 14 | 3400 | 48 |
| 15 | 3400 | 48 |
| 0 | 3400 | 48 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
(-.f64 (*.f64 z z) (*.f64 t a)) |
(*.f64 z z) |
(*.f64 t a) |
t |
a |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 z (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(-.f64 (*.f64 z z) (*.f64 t a)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(*.f64 z z) |
(*.f64 t a) |
(*.f64 a t) |
t |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20312500000000003 | (-.f64 (*.f64 z z) (*.f64 t a)) | |
| accuracy | 5.719769239263047 | (*.f64 (*.f64 x y) z) | |
| accuracy | 9.16033556705028 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| accuracy | 24.450955082447294 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 22.0ms | 256× | 0 | valid |
Compiled 50 to 14 computations (72% saved)
ival-mult: 6.0ms (58.1% of total)ival-sqrt: 2.0ms (19.4% of total)ival-sub: 1.0ms (9.7% of total)ival-div: 1.0ms (9.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a t)) (sqrt -1)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a t)) (taylor inf a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (pow z 2) a) t)) (taylor inf a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (pow z 2) a) t)) (taylor inf a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (pow z 2) a) t)) (taylor inf a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (* y z)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | t | @ | -inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 5.0ms | x | @ | -inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 4.0ms | y | @ | 0 | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 4.0ms | z | @ | 0 | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 3.0ms | a | @ | inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 1× | egg-herbie |
| 8 704× | lower-*.f64 |
| 8 704× | lower-*.f32 |
| 7 510× | lower-fma.f64 |
| 7 510× | lower-fma.f32 |
| 1 846× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 3663 |
| 1 | 1609 | 3591 |
| 2 | 6491 | 3573 |
| 0 | 8282 | 3461 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a t)) |
(* a (- (/ (pow z 2) a) t)) |
(* a (- (/ (pow z 2) a) t)) |
(* a (- (/ (pow z 2) a) t)) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* -1 (* a t)) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* a t)) |
(* t (- (/ (pow z 2) t) a)) |
(* t (- (/ (pow z 2) t) a)) |
(* t (- (/ (pow z 2) t) a)) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* -1 (* a t)) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* -1 (* a t)) |
(- (pow z 2) (* a t)) |
(- (pow z 2) (* a t)) |
(- (pow z 2) (* a t)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (/.f64 y z) (/.f64 x z)) (*.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (/.f64 y z) (/.f64 x z)) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z) (*.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 z z) y)) (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))))))) a (*.f64 y x)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 t (/.f64 t (pow.f64 z #s(literal 3 binary64)))) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 t t)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (*.f64 (*.f64 (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64))))) z) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))) a) |
(* -1 (* a t)) |
(*.f64 (neg.f64 a) t) |
(* a (- (/ (pow z 2) a) t)) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(* a (- (/ (pow z 2) a) t)) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(* a (- (/ (pow z 2) a) t)) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 t a)) (*.f64 y x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) z) (*.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (*.f64 y x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 5 binary64))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 t a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* a t)) |
(*.f64 (neg.f64 a) t) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) x) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 a (*.f64 y x)) z))) t (*.f64 y x)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 y z) (/.f64 x z)) (*.f64 (*.f64 #s(literal -1/2 binary64) t) (fma.f64 (*.f64 (*.f64 t x) (*.f64 (*.f64 z z) y)) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 a (/.f64 a (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal -3/4 binary64) (*.f64 z z))) (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) x) (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))))))) t (*.f64 y x)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/8 binary64)) (*.f64 a (/.f64 a (pow.f64 z #s(literal 3 binary64)))) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 t (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
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(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 t a) z) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) t) t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 t a) z) z) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 t a) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) t) t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 4 binary64))))) z z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t a) z) z)) z) z) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t a) z) z)) z) z) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t a) z) z)) z) z) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(fma.f64 (neg.f64 y) x (*.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(fma.f64 (neg.f64 y) x (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 (*.f64 a a) t) t)) y) x) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(fma.f64 (neg.f64 y) x (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 (*.f64 a a) t) t)) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 t a) #s(literal 3 binary64)) #s(literal -3/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 y (pow.f64 z #s(literal 6 binary64)))))) #s(literal 1/2 binary64)))) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (/.f64 (*.f64 t a) z) z) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) t) t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 t a) z) z) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 t a) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) t) t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 4 binary64))))) z z)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t a) z) z)) z) z) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t a) z) z)) z) z) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t a) z) z)) z) z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 4 222× | lower-*.f32 |
| 4 214× | lower-*.f64 |
| 3 334× | lower-fma.f64 |
| 3 334× | lower-fma.f32 |
| 2 738× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 0 | 19 | 37 |
| 1 | 56 | 37 |
| 2 | 320 | 37 |
| 3 | 2703 | 37 |
| 0 | 8429 | 37 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
(-.f64 (*.f64 z z) (*.f64 t a)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (*.f64 (neg.f64 z) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 z x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 z x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 z y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 z y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) x) #s(literal -1 binary64)) (*.f64 z y)) |
(*.f64 (/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 a t (*.f64 z z)))) |
(*.f64 (/.f64 (*.f64 z (*.f64 y x)) (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 a t) #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) y) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) y) (*.f64 z x)) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) x) (*.f64 z y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) z) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y)) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 z (*.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
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(*.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
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(/.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (*.f64 a t) #s(literal 6 binary64))) (*.f64 (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 (*.f64 a t) #s(literal 9 binary64))) (*.f64 (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) (pow.f64 z #s(literal 12 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64)))) (neg.f64 (fma.f64 a t (*.f64 z z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 a (*.f64 z z)) (neg.f64 t)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) (fma.f64 a t (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 a (*.f64 z z)) (neg.f64 t))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64)))) (fma.f64 a t (*.f64 z z)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) (neg.f64 (fma.f64 a t (*.f64 z z))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (fma.f64 (*.f64 a t) (-.f64 (*.f64 a t) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64)))) (fma.f64 (neg.f64 a) t (*.f64 z z)) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t)) #s(literal 2 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t)) (-.f64 (*.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 a #s(literal -1 binary64)) t (*.f64 z z)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 z (fma.f64 a t (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z))))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a t) (*.f64 z z)) |
(fma.f64 (neg.f64 t) a (*.f64 z z)) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 z z) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z))))) |
(fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 a t) #s(literal -1 binary64) (*.f64 z z)) |
(fma.f64 a (neg.f64 t) (*.f64 z z)) |
(fma.f64 t (neg.f64 a) (*.f64 z z)) |
(fma.f64 (*.f64 z z) (/.f64 (*.f64 z z) (fma.f64 a t (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z))))) |
(fma.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 z (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 a t (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z))))) |
(fma.f64 z z (*.f64 (neg.f64 a) t)) |
(sqrt.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 2 binary64))) |
(-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 a t)) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 a t (*.f64 z z))) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 a t) (*.f64 z z))) |
(-.f64 (*.f64 z z) (*.f64 a t)) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 a t (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z))))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (neg.f64 a) t) (*.f64 z z)) |
(+.f64 (*.f64 z z) (*.f64 (neg.f64 a) t)) |
Compiled 16 321 to 1 854 computations (88.6% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 556 | 13 | 569 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 557 | 13 | 570 |
| Status | Accuracy | Program |
|---|---|---|
| 61.7% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| 28.7% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) | |
| 45.1% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 57.7% | (/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #s(literal -1/2 binary64))))) | |
| ▶ | 70.2% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
| ▶ | 17.6% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
| 60.3% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (*.f64 z (*.f64 y x)))) | |
| ▶ | 67.9% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
| 65.8% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) | |
| 59.7% | (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) | |
| 63.4% | (*.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) | |
| ▶ | 59.2% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) |
| ▶ | 75.8% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
Compiled 348 to 320 computations (8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) | |
| cost-diff | 0 | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| cost-diff | 0 | (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| cost-diff | 0 | (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) | |
| cost-diff | 0 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) | |
| cost-diff | 0 | #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
| 26 852× | lower-fma.f32 |
| 26 848× | lower-fma.f64 |
| 2 690× | lower-+.f64 |
| 2 690× | lower-+.f32 |
| 2 662× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 285 |
| 0 | 62 | 285 |
| 1 | 111 | 285 |
| 2 | 193 | 285 |
| 3 | 320 | 285 |
| 4 | 379 | 285 |
| 5 | 413 | 285 |
| 6 | 576 | 285 |
| 7 | 778 | 285 |
| 8 | 1382 | 285 |
| 9 | 2834 | 285 |
| 10 | 4475 | 285 |
| 11 | 5091 | 285 |
| 12 | 5386 | 285 |
| 13 | 5908 | 285 |
| 14 | 6670 | 285 |
| 0 | 8232 | 285 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 a z) |
a |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) |
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
z |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
y |
x |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))) |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
z |
(*.f64 (*.f64 z y) x) |
(*.f64 z y) |
y |
x |
| Outputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 y x) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 x y) z) |
(*.f64 (*.f64 y x) z) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 (*.f64 (*.f64 y x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(*.f64 (*.f64 x y) z) |
(*.f64 (*.f64 y x) z) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 a z) |
a |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) |
(/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
z |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(fma.f64 (neg.f64 t) a (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
y |
x |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 z) z (*.f64 a t)))) (*.f64 (*.f64 y x) z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 z) z (*.f64 a t)))) (*.f64 (*.f64 y x) z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 z) z (*.f64 a t)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 z) z (*.f64 a t))) |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(fma.f64 (neg.f64 t) a (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
z |
(*.f64 (*.f64 z y) x) |
(*.f64 (*.f64 y x) z) |
(*.f64 z y) |
y |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.7440635230854139 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 5.309211281100715 | (*.f64 (*.f64 z y) x) | |
| accuracy | 9.23846056705028 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) | |
| accuracy | 23.86205788701217 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 0.05859375 | (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 0.0625 | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) | |
| accuracy | 2.1944349582915783 | (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) | |
| accuracy | 24.450955082447294 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 2.871506389484768 | (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) | |
| accuracy | 5.719769239263047 | (*.f64 (*.f64 x y) z) | |
| accuracy | 9.16033556705028 | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) | |
| accuracy | 18.892505052076057 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 5.719769239263047 | (*.f64 (*.f64 x y) z) | |
| accuracy | 9.16033556705028 | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| accuracy | 63.12715107527471 | #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 15.480142444971802 | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
| 80.0ms | 256× | 0 | valid |
Compiled 252 to 34 computations (86.5% saved)
ival-mult: 19.0ms (53.7% of total)ival-div: 6.0ms (17% of total)ival-sqrt: 5.0ms (14.1% of total)ival-add: 2.0ms (5.7% of total)ival-neg: 2.0ms (5.7% of total)ival-sub: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) #<representation binary64>) () ()) |
#s(alt (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z y) x) (patch (*.f64 (*.f64 z y) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 a) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 a) (#s(alt (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) (taylor 0 a) (#s(alt (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t y) (pow z 2)))))) (taylor 0 a) (#s(alt (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* a (+ (* 1/2 (/ (* t y) (pow z 2))) (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (taylor 0 a) (#s(alt (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) #<representation binary64>) () ())) ()) |
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#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor inf x) (#s(alt (*.f64 (*.f64 z y) x) (patch (*.f64 (*.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor inf x) (#s(alt (*.f64 (*.f64 z y) x) (patch (*.f64 (*.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor inf x) (#s(alt (*.f64 (*.f64 z y) x) (patch (*.f64 (*.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor inf x) (#s(alt (*.f64 (*.f64 z y) x) (patch (*.f64 (*.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 z y) x) (patch (*.f64 (*.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 z y) x) (patch (*.f64 (*.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 z y) x) (patch (*.f64 (*.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 z y) x) (patch (*.f64 (*.f64 z y) x) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 207.0ms | x | @ | inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (* (* z y) x)) |
| 66.0ms | z | @ | 0 | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (* (* z y) x)) |
| 8.0ms | z | @ | inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (* (* z y) x)) |
| 3.0ms | a | @ | inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (* (* z y) x)) |
| 3.0ms | y | @ | -inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (* (* z y) x)) (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/ 1 (+ (* (neg a) t) (* z z))) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (* (* z y) x)) |
| 1× | egg-herbie |
| 7 400× | lower-fma.f64 |
| 7 400× | lower-fma.f32 |
| 7 054× | lower-*.f64 |
| 7 054× | lower-*.f32 |
| 5 372× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 974 | 21589 |
| 1 | 3171 | 21004 |
| 0 | 8360 | 20313 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ y (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t y) (pow z 2)))))) |
(+ y (* a (+ (* 1/2 (/ (* t y) (pow z 2))) (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2)))))) |
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(/ 1 z) |
(+ (* 1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(+ (* a (+ (* -1/2 (* a (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)) |
(+ (* a (+ (* 1/2 (/ t (pow z 3))) (* a (+ (* -1/2 (* a (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) (/ 1 z)) |
(/ 1 (pow z 2)) |
(+ (/ 1 (pow z 2)) (/ (* a t) (pow z 4))) |
(+ (* a (- (/ (* a (pow t 2)) (pow z 6)) (* -1 (/ t (pow z 4))))) (/ 1 (pow z 2))) |
(+ (* a (- (* a (- (/ (* a (pow t 3)) (pow z 8)) (* -1 (/ (pow t 2) (pow z 6))))) (* -1 (/ t (pow z 4))))) (/ 1 (pow z 2))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))))) |
(/ -1 (* a t)) |
(/ (- (* -1 (/ (pow z 2) (* a (pow t 2)))) (/ 1 t)) a) |
(/ (- (* -1 (/ (pow z 4) (* (pow a 2) (pow t 3)))) (+ (/ 1 t) (/ (pow z 2) (* a (pow t 2))))) a) |
(/ (- (* -1 (/ (pow z 6) (* (pow a 3) (pow t 4)))) (+ (/ 1 t) (+ (/ (pow z 2) (* a (pow t 2))) (/ (pow z 4) (* (pow a 2) (pow t 3)))))) a) |
(* -1/2 (/ (* a t) z)) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* y (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(/ -1 (* a t)) |
(* -1 (/ (+ (/ 1 t) (/ (pow z 2) (* a (pow t 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) (* a (pow t 3)))) (/ (pow z 2) (pow t 2))) a)) (/ 1 t)) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* a (pow t 4))) (* -1 (/ (pow z 4) (pow t 3)))) a)) (/ (pow z 2) (pow t 2))) a)) (/ 1 t)) a)) |
(* -1/2 (/ (* a t) z)) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ y (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a y) (pow z 2)))))) |
(+ y (* t (+ (* 1/2 (/ (* a y) (pow z 2))) (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2)))))) |
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(/ 1 z) |
(+ (* 1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(+ (* t (+ (* -1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 3))))) (/ 1 z)) |
(+ (* t (+ (* 1/2 (/ a (pow z 3))) (* t (+ (* -1/2 (* t (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) (/ 1 z)) |
(/ 1 (pow z 2)) |
(+ (/ 1 (pow z 2)) (/ (* a t) (pow z 4))) |
(+ (* t (- (/ (* (pow a 2) t) (pow z 6)) (* -1 (/ a (pow z 4))))) (/ 1 (pow z 2))) |
(+ (* t (- (* t (- (/ (* (pow a 3) t) (pow z 8)) (* -1 (/ (pow a 2) (pow z 6))))) (* -1 (/ a (pow z 4))))) (/ 1 (pow z 2))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))))) |
(/ -1 (* a t)) |
(/ (- (* -1 (/ (pow z 2) (* (pow a 2) t))) (/ 1 a)) t) |
(/ (- (* -1 (/ (pow z 4) (* (pow a 3) (pow t 2)))) (+ (/ 1 a) (/ (pow z 2) (* (pow a 2) t)))) t) |
(/ (- (* -1 (/ (pow z 6) (* (pow a 4) (pow t 3)))) (+ (/ 1 a) (+ (/ (pow z 2) (* (pow a 2) t)) (/ (pow z 4) (* (pow a 3) (pow t 2)))))) t) |
(* -1/2 (/ (* a t) z)) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* y (* (pow z 5) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 5) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 4) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(/ -1 (* a t)) |
(* -1 (/ (+ (/ 1 a) (/ (pow z 2) (* (pow a 2) t))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) (* (pow a 3) t))) (/ (pow z 2) (pow a 2))) t)) (/ 1 a)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow a 4) t)) (* -1 (/ (pow z 4) (pow a 3)))) t)) (/ (pow z 2) (pow a 2))) t)) (/ 1 a)) t)) |
(* -1/2 (/ (* a t) z)) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1))))))))) |
(/ -1 (* a t)) |
(- (* -1 (/ (pow z 2) (* (pow a 2) (pow t 2)))) (/ 1 (* a t))) |
(- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow a 3) (pow t 3)))) (/ 1 (* (pow a 2) (pow t 2))))) (/ 1 (* a t))) |
(- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow a 4) (pow t 4)))) (/ 1 (* (pow a 3) (pow t 3))))) (/ 1 (* (pow a 2) (pow t 2))))) (/ 1 (* a t))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2))))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t y)) (pow z 2)))))) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(/ 1 z) |
(/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) z) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z) |
(/ 1 (pow z 2)) |
(/ (+ 1 (/ (* a t) (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1 (/ (* a t) (pow z 2)))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow a 3) (pow t 3)) (pow z 6))) (+ (* -1 (/ (* a t) (pow z 2))) (* -1 (/ (* (pow a 2) (pow t 2)) (pow z 4))))) (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 y) |
(+ (* -1 y) (* -1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ (* -1 y) (+ (* -1/2 (/ (* a (* t y)) (pow z 2))) (* 1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 y) (+ (* -1/2 (/ (* a (* t y)) (pow z 2))) (+ (* 1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
-1 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(/ -1 z) |
(* -1 (/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z)) |
(/ 1 (pow z 2)) |
(/ (+ 1 (/ (* a t) (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1 (/ (* a t) (pow z 2)))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow a 3) (pow t 3)) (pow z 6))) (+ (* -1 (/ (* a t) (pow z 2))) (* -1 (/ (* (pow a 2) (pow t 2)) (pow z 4))))) (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) a) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) a) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
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y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t y) a) z) y) |
(+ y (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t y) (pow z 2)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 t a) z) z) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
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z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
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(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
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(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
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(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* 1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(fma.f64 (*.f64 a (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) |
(+ (* a (+ (* -1/2 (* a (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a z) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) z)) |
(+ (* a (+ (* 1/2 (/ t (pow z 3))) (* a (+ (* -1/2 (* a (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) (/ 1 z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a z) (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) z))) a (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) z)) |
(/ 1 (pow z 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) z) |
(+ (/ 1 (pow z 2)) (/ (* a t) (pow z 4))) |
(fma.f64 a (/.f64 t (pow.f64 z #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) |
(+ (* a (- (/ (* a (pow t 2)) (pow z 6)) (* -1 (/ t (pow z 4))))) (/ 1 (pow z 2))) |
(fma.f64 (fma.f64 a (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) (/.f64 t (pow.f64 z #s(literal 4 binary64)))) a (/.f64 (/.f64 #s(literal 1 binary64) z) z)) |
(+ (* a (- (* a (- (/ (* a (pow t 3)) (pow z 8)) (* -1 (/ (pow t 2) (pow z 6))))) (* -1 (/ t (pow z 4))))) (/ 1 (pow z 2))) |
(fma.f64 (fma.f64 (fma.f64 a (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 8 binary64))) (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64)))) a (/.f64 t (pow.f64 z #s(literal 4 binary64)))) a (/.f64 (/.f64 #s(literal 1 binary64) z) z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))) x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64))))) (*.f64 x (/.f64 (*.f64 (*.f64 z y) (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) a) (pow.f64 t #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))) x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64))))) (*.f64 x (/.f64 (*.f64 (*.f64 z y) (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) a) (pow.f64 t #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
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(* x y) |
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z |
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(* x y) |
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z |
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(* x y) |
(*.f64 y x) |
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y |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 t a) z) z) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2)))))) |
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z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
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(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
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(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
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(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
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(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* 1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(fma.f64 (*.f64 a (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) |
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(/ 1 (pow z 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) z) |
(+ (/ 1 (pow z 2)) (/ (* a t) (pow z 4))) |
(fma.f64 a (/.f64 t (pow.f64 z #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) |
(+ (* t (- (/ (* (pow a 2) t) (pow z 6)) (* -1 (/ a (pow z 4))))) (/ 1 (pow z 2))) |
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(+ (* t (- (* t (- (/ (* (pow a 3) t) (pow z 8)) (* -1 (/ (pow a 2) (pow z 6))))) (* -1 (/ a (pow z 4))))) (/ 1 (pow z 2))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 8 binary64))) (/.f64 (*.f64 a a) (pow.f64 z #s(literal 6 binary64)))) t (/.f64 a (pow.f64 z #s(literal 4 binary64)))) t (/.f64 (/.f64 #s(literal 1 binary64) z) z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
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(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) a))) (/.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) t) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
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(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
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(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
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(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
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(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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y |
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1 |
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(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
| 9 708× | lower-fma.f32 |
| 9 704× | lower-fma.f64 |
| 6 284× | lower-*.f32 |
| 6 264× | lower-*.f64 |
| 2 932× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 222 |
| 0 | 62 | 218 |
| 1 | 192 | 217 |
| 2 | 1036 | 217 |
| 0 | 9138 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) |
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(neg.f64 z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(*.f64 (*.f64 z y) x) |
| Outputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y (*.f64 x #s(literal 1 binary64))) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) y) x) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) x) y) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)) (*.f64 z x)) y) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)) (*.f64 x z)) y) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)) (*.f64 z y)) x) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)) (*.f64 y x)) z) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)) z) (*.f64 y x)) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)) y) (*.f64 z x)) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)) y) (*.f64 x z)) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)) x) (*.f64 z y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) z) y)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (*.f64 (*.f64 y x) z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (*.f64 (*.f64 y x) z)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (/.f64 (*.f64 z y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (*.f64 z x) (*.f64 y (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 x z) (*.f64 y (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 z y) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 y x)) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)) (*.f64 (*.f64 y x) z)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) z) y) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (*.f64 z y) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 (*.f64 z y) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y x) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 (*.f64 (*.f64 y x) z) (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y x) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 z (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 z (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)) (*.f64 y x))) |
(*.f64 z (/.f64 (*.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 y (*.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 y (*.f64 (*.f64 z x) (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)))) |
(*.f64 y (/.f64 x (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) z))) |
(*.f64 x (*.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 x (/.f64 (*.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (*.f64 (*.f64 y x) z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) z) y) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (*.f64 (*.f64 (neg.f64 x) z) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (*.f64 (*.f64 y x) z))) |
(/.f64 (*.f64 (*.f64 y x) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))) (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))))) |
(/.f64 (neg.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64))))) (neg.f64 (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)))) (neg.f64 (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z z)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (neg.f64 (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 a z) t) z) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)))) |
(/.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)))) (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))) (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) (pow.f64 z #s(literal -1 binary64))) a z) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) #s(literal -1 binary64)) (/.f64 (neg.f64 a) z) z) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a z) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 t (pow.f64 a #s(literal -1 binary64))) z) |
(fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) a) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) #s(literal -1 binary64)) (/.f64 (neg.f64 a) z) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t z) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(fma.f64 (/.f64 (neg.f64 a) z) (/.f64 (*.f64 #s(literal -1/2 binary64) t) #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a t)) (/.f64 #s(literal -1 binary64) z) z) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) a) (pow.f64 z #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) t) (pow.f64 a #s(literal -1 binary64))) z) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) t) a) z) |
(fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)) z) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a) z) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a)) |
(fma.f64 (neg.f64 a) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1/2 binary64) t)) z) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a z) t) z) |
(fma.f64 (neg.f64 z) #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a)) |
(fma.f64 (*.f64 a t) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) z) |
(fma.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) t) (pow.f64 z #s(literal -1 binary64))) z) |
(fma.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) z) |
(fma.f64 a (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) t) z) |
(fma.f64 t (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) z) |
(fma.f64 t (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) z) |
(fma.f64 z #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a)) |
(-.f64 (/.f64 (*.f64 z z) (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))) (neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a) z) |
(+.f64 z (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z x)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 z y)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 x) y)) z) |
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 z y)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) x) |
(*.f64 (*.f64 z x) y) |
(*.f64 (*.f64 x z) y) |
(*.f64 (*.f64 (neg.f64 x) y) (neg.f64 z)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 z) y)) |
(*.f64 (*.f64 (neg.f64 z) y) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 (*.f64 z y) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 z y) (neg.f64 (neg.f64 x))) |
(*.f64 (*.f64 z y) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) z)) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (*.f64 y x) z) #s(literal 1 binary64)) |
(*.f64 (*.f64 y x) z) |
(*.f64 z (neg.f64 (*.f64 (neg.f64 x) y))) |
(*.f64 z (*.f64 y x)) |
(*.f64 y (*.f64 (*.f64 z x) #s(literal 1 binary64))) |
(*.f64 y (*.f64 (*.f64 x z) #s(literal 1 binary64))) |
(*.f64 y (*.f64 z x)) |
(*.f64 y (*.f64 x z)) |
(*.f64 x (*.f64 (*.f64 z y) #s(literal 1 binary64))) |
(*.f64 x (neg.f64 (*.f64 (neg.f64 z) y))) |
(*.f64 x (*.f64 z y)) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) z) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) z) y)) |
Compiled 39 539 to 3 337 computations (91.6% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 546 | 13 | 1 559 |
| Fresh | 6 | 2 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 555 | 17 | 1 572 |
| Status | Accuracy | Program |
|---|---|---|
| 17.5% | (/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| ▶ | 18.8% | (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
| 28.7% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) | |
| 43.0% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))))) | |
| 38.0% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))))) | |
| ▶ | 22.9% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
| ▶ | 81.5% | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
| ▶ | 59.7% | (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
| ✓ | 67.9% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
| 65.8% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) | |
| 65.0% | (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) | |
| ▶ | 13.9% | (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
| 20.3% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 (fma.f64 (/.f64 z (*.f64 t t)) (/.f64 z a) (/.f64 #s(literal 1 binary64) t)) (neg.f64 a)))) (*.f64 (*.f64 z y) x))) | |
| 29.4% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 t a)))) (*.f64 (*.f64 z y) x))) | |
| 57.4% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #s(literal -1/2 binary64))) (*.f64 (*.f64 z y) x))) | |
| 60.3% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) | |
| ✓ | 75.8% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
Compiled 656 to 463 computations (29.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (neg.f64 a) t (*.f64 z z)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| cost-diff | 0 | (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) y) | |
| cost-diff | 192 | (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) | |
| cost-diff | 256 | (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) | |
| cost-diff | 0 | #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (*.f64 (*.f64 z x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| cost-diff | 0 | (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) | |
| cost-diff | 0 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) | |
| cost-diff | 0 | (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) | |
| cost-diff | 0 | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
| 14 324× | lower-fma.f32 |
| 14 320× | lower-fma.f64 |
| 2 520× | lower-*.f32 |
| 2 490× | lower-*.f64 |
| 1 744× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 348 |
| 0 | 72 | 342 |
| 1 | 139 | 342 |
| 2 | 270 | 341 |
| 3 | 536 | 341 |
| 4 | 968 | 341 |
| 5 | 1509 | 341 |
| 6 | 2674 | 341 |
| 7 | 5105 | 341 |
| 8 | 5886 | 341 |
| 9 | 6772 | 341 |
| 10 | 7335 | 341 |
| 11 | 7501 | 341 |
| 0 | 8330 | 341 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 a z) |
a |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(*.f64 y x) |
y |
x |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
z |
x |
y |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) |
(neg.f64 z) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
x |
(/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(literal -1 binary64) |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
(*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) |
(*.f64 (/.f64 a z) #s(literal -1/2 binary64)) |
(/.f64 a z) |
a |
#s(literal -1/2 binary64) |
t |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
x |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
z |
(*.f64 z y) |
y |
| Outputs |
|---|
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(/.f64 a z) |
a |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 z x) y) |
(*.f64 (*.f64 x y) z) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
y |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) |
(neg.f64 z) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(/.f64 (neg.f64 x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
x |
(/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(literal -1 binary64) |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) |
#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
(*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) |
(*.f64 (/.f64 a z) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 a z)) |
(/.f64 a z) |
a |
#s(literal -1/2 binary64) |
t |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
x |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
z |
(*.f64 z y) |
(*.f64 y z) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 (neg.f64 a) t (*.f64 z z)) | |
| accuracy | 0.0859375 | (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 17.923428194920568 | (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) | |
| accuracy | 24.450955082447294 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 5.719769239263047 | (*.f64 (*.f64 x y) z) | |
| accuracy | 9.16033556705028 | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) | |
| accuracy | 18.892505052076057 | #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) | |
| accuracy | 42.8681020809476 | #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) | |
| accuracy | 0.09765625 | (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| accuracy | 0.1796875 | (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) | |
| accuracy | 17.923428194920568 | (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) | |
| accuracy | 63.12715107527471 | #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 2.4303714234172316 | (*.f64 (*.f64 z x) y) | |
| accuracy | 9.16033556705028 | (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| accuracy | 63.12715107527471 | #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) | |
| accuracy | 0.05859375 | (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) | |
| accuracy | 2.871506389484768 | (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) | |
| accuracy | 3.9506741178847333 | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) | |
| accuracy | 18.892505052076057 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
| 101.0ms | 256× | 0 | valid |
Compiled 266 to 42 computations (84.2% saved)
ival-mult: 52.0ms (73.8% of total)ival-div: 9.0ms (12.8% of total)ival-add: 3.0ms (4.3% of total)ival-sqrt: 3.0ms (4.3% of total)ival-neg: 2.0ms (2.8% of total)ival-sub: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) (patch (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (patch (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) (patch (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z x) y) (patch (*.f64 (*.f64 z x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) (patch (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) (patch #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) (patch (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 a) t (*.f64 z z)) (patch (fma.f64 (neg.f64 a) t (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) (patch #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 a) (#s(alt (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) (patch (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) (patch (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) (patch (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) (patch (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (patch (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) (taylor 0 a) (#s(alt (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (patch (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2)))))) (taylor 0 a) (#s(alt (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (patch (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (taylor 0 a) (#s(alt (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (patch (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 a) (#s(alt (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) (patch (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) (patch (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) (patch (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) (patch (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) (patch (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) (patch (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) (patch (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) (patch (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 a) (#s(alt (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x z)) (* -1/2 (/ (* a (* t x)) (pow z 3)))) (taylor 0 a) (#s(alt (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x z)) (* a (+ (* -1/2 (/ (* t x) (pow z 3))) (* 1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (taylor 0 a) (#s(alt (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x z)) (* a (+ (* -1/2 (/ (* t x) (pow z 3))) (* a (+ (* 1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* 1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (taylor 0 a) (#s(alt (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) (patch #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) (patch #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) (patch #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) (patch #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) (patch (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) (patch (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) (patch (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | y | @ | inf | ((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (* (* (neg z) y) (* x (/ -1 (sqrt (- (* z z) (* t a)))))) (* x (/ -1 (sqrt (- (* z z) (* t a))))) (* (neg z) y) (neg z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (+ (* (neg a) t) (* z z)) (/ -1 (sqrt (- (* z z) (* t a)))) (+ (* (* -1/2 t) (/ a z)) z)) |
| 8.0ms | a | @ | inf | ((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (* (* (neg z) y) (* x (/ -1 (sqrt (- (* z z) (* t a)))))) (* x (/ -1 (sqrt (- (* z z) (* t a))))) (* (neg z) y) (neg z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (+ (* (neg a) t) (* z z)) (/ -1 (sqrt (- (* z z) (* t a)))) (+ (* (* -1/2 t) (/ a z)) z)) |
| 4.0ms | z | @ | 0 | ((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (* (* (neg z) y) (* x (/ -1 (sqrt (- (* z z) (* t a)))))) (* x (/ -1 (sqrt (- (* z z) (* t a))))) (* (neg z) y) (neg z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (+ (* (neg a) t) (* z z)) (/ -1 (sqrt (- (* z z) (* t a)))) (+ (* (* -1/2 t) (/ a z)) z)) |
| 4.0ms | x | @ | -inf | ((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (* (* (neg z) y) (* x (/ -1 (sqrt (- (* z z) (* t a)))))) (* x (/ -1 (sqrt (- (* z z) (* t a))))) (* (neg z) y) (neg z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (+ (* (neg a) t) (* z z)) (/ -1 (sqrt (- (* z z) (* t a)))) (+ (* (* -1/2 t) (/ a z)) z)) |
| 3.0ms | z | @ | inf | ((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (* (* (neg z) y) (* x (/ -1 (sqrt (- (* z z) (* t a)))))) (* x (/ -1 (sqrt (- (* z z) (* t a))))) (* (neg z) y) (neg z) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (+ (* (neg a) t) (* z z)) (/ -1 (sqrt (- (* z z) (* t a)))) (+ (* (* -1/2 t) (/ a z)) z)) |
| 1× | egg-herbie |
| 9 240× | lower-fma.f64 |
| 9 240× | lower-fma.f32 |
| 7 734× | lower-*.f64 |
| 7 734× | lower-*.f32 |
| 5 988× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 973 | 22162 |
| 1 | 3251 | 21568 |
| 0 | 8391 | 20872 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2)))))) |
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (* -1/2 (/ (* a (* t x)) (pow z 3)))) |
(+ (* -1 (/ x z)) (* a (+ (* -1/2 (/ (* t x) (pow z 3))) (* 1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
(+ (* -1 (/ x z)) (* a (+ (* -1/2 (/ (* t x) (pow z 3))) (* a (+ (* 1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* 1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(/ x z) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z)) |
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(/ -1 z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(- (* a (+ (* -1/2 (/ t (pow z 3))) (* 1/2 (* a (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (/ 1 z)) |
(- (* a (+ (* -1/2 (/ t (pow z 3))) (* a (+ (* 1/2 (* a (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* 1/2 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) (/ 1 z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1/2 (/ (* a t) z)) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* 1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a t)) |
(* a (+ (* -1 t) (/ (pow z 2) a))) |
(* a (+ (* -1 t) (/ (pow z 2) a))) |
(* a (+ (* -1 t) (/ (pow z 2) a))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ t (pow a 7))) (/ (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))) (sqrt -1))))))) |
(* -1/2 (/ (* a t) z)) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* -1/2 (/ (* a t) z)) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* -1/2 (* (sqrt (/ t a)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* -1 (* a t)) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 4) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ t a)) (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) (pow a 3))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))))) |
(* -1/2 (/ (* a t) z)) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2)))))) |
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (* -1/2 (/ (* a (* t x)) (pow z 3)))) |
(+ (* -1 (/ x z)) (* t (+ (* -1/2 (/ (* a x) (pow z 3))) (* 1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) |
(+ (* -1 (/ x z)) (* t (+ (* -1/2 (/ (* a x) (pow z 3))) (* t (+ (* 1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* 1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(/ x z) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z)) |
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(/ -1 z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(- (* t (+ (* -1/2 (/ a (pow z 3))) (* 1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (/ 1 z)) |
(- (* t (+ (* -1/2 (/ a (pow z 3))) (* t (+ (* 1/2 (* t (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* 1/2 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) (/ 1 z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1/2 (/ (* a t) z)) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* 1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* a t)) |
(* t (+ (* -1 a) (/ (pow z 2) t))) |
(* t (+ (* -1 a) (/ (pow z 2) t))) |
(* t (+ (* -1 a) (/ (pow z 2) t))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a (pow t 7))) (/ (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))) (sqrt -1))))))) |
(* -1/2 (/ (* a t) z)) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 5) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* -1/2 (/ (* a t) z)) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a t)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* -1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 4) (sqrt -1)))))) (pow t 3))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* -1 (* a t)) |
(* -1 (* t (+ a (* -1 (/ (pow z 2) t))))) |
(* -1 (* t (+ a (* -1 (/ (pow z 2) t))))) |
(* -1 (* t (+ a (* -1 (/ (pow z 2) t))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 4) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a t)) (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))) (* -1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 4) (sqrt -1))))) (pow t 3))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))))) |
(* -1/2 (/ (* a t) z)) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* (pow z 2) (+ (* 1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1))))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* 1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* 1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1))))))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1))))))) |
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* -1 (* a t)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (+ (* 1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1))))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* 1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* 1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1))))))))) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* -1 (/ x z)) |
(/ (+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2)))) z) |
(/ (+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) z) |
(/ (+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) z) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(/ x z) |
(/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z) |
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z) |
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(/ -1 z) |
(/ (- (* -1/2 (/ (* a t) (pow z 2))) 1) z) |
(/ (- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) z) |
(/ (- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) z) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
-1 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
z |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(/ x z) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2)))) z)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) z)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 (/ x z)) |
(* -1 (/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z)) |
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z)) |
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(/ 1 z) |
(* -1 (/ (- (* -1/2 (/ (* a t) (pow z 2))) 1) z)) |
(* -1 (/ (- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) z)) |
(* -1 (/ (- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) z)) |
z |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t a) z) #s(literal 1 binary64)) |
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 t z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z)))) a #s(literal 1 binary64)) |
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a (*.f64 z z)) (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z)))) a (*.f64 (/.f64 t (*.f64 z z)) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) a) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) a) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(+ (* -1 (/ x z)) (* -1/2 (/ (* a (* t x)) (pow z 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 t x) a) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 x) z)) |
(+ (* -1 (/ x z)) (* a (+ (* -1/2 (/ (* t x) (pow z 3))) (* 1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 z x) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 t x) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 (neg.f64 x) z)) |
(+ (* -1 (/ x z)) (* a (+ (* -1/2 (/ (* t x) (pow z 3))) (* a (+ (* 1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* 1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) z) (*.f64 (*.f64 z x) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))))) a (/.f64 (*.f64 (*.f64 t x) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 (neg.f64 x) z)) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) a) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
(/ x z) |
(/.f64 x z) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t x) a) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 x z)) |
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 z x) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 t x) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 x z)) |
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z |
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(pow z 2) |
(*.f64 z z) |
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(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
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z |
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(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
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(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 t #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))) a) |
(* -1/2 (/ (* a t) z)) |
(*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(*.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 z a)) a) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(*.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 z a)) a) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(*.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 z a)) a) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
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(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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1 |
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z |
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(* x y) |
(*.f64 y x) |
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(/ x z) |
(/.f64 x z) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t x) a) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 x z)) |
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z)) |
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z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) t (/.f64 #s(literal -1 binary64) z)) |
(- (* t (+ (* -1/2 (/ a (pow z 3))) (* 1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (/ 1 z)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 t z) (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 a (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) t (/.f64 #s(literal -1 binary64) z)) |
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z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
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(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 5 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 5 binary64)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))) z) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 7 binary64))))) (*.f64 z (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) t) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 a #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) a))) (/.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) t) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) a))) (/.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))) t) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 7 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) a))) (/.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))))) t) |
(* -1/2 (/ (* a t) z)) |
(*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(*.f64 (fma.f64 (/.f64 a z) #s(literal -1/2 binary64) (/.f64 z t)) t) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(*.f64 (fma.f64 (/.f64 a z) #s(literal -1/2 binary64) (/.f64 z t)) t) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(*.f64 (fma.f64 (/.f64 a z) #s(literal -1/2 binary64) (/.f64 z t)) t) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
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(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))) |
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
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(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
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1 |
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z |
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
| 7 620× | lower-fma.f32 |
| 7 616× | lower-fma.f64 |
| 5 522× | lower-*.f32 |
| 5 492× | lower-*.f64 |
| 3 256× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 279 |
| 0 | 72 | 273 |
| 1 | 232 | 272 |
| 2 | 1180 | 272 |
| 0 | 8969 | 272 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
| Outputs |
|---|
(*.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 y (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) z) #s(literal -1 binary64)) (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 (*.f64 x z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 x (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) z) |
(*.f64 (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x) y) |
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (*.f64 (*.f64 x y) z) (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x y) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (*.f64 x z) (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (*.f64 x z) (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64)) y)) |
(*.f64 x (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 y (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (*.f64 x y)) |
(*.f64 z (/.f64 (*.f64 x y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 z (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64)) (*.f64 x y))) |
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 (*.f64 x y) z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 (*.f64 x y) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 (*.f64 x y) z))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 (*.f64 x y) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 (*.f64 x y) z)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(neg.f64 (*.f64 (*.f64 x y) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (*.f64 x y))) |
(neg.f64 (/.f64 (*.f64 (*.f64 x y) z) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 x y) z) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64)) z) |
(*.f64 #s(literal 1 binary64) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 z (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64)) (*.f64 z (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) (*.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) z)) (*.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (neg.f64 z))) |
(/.f64 (neg.f64 z) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))) |
(neg.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal 1 binary64)) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(/.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64))) |
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z)))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z)))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (*.f64 a t) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 a t) #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))))) (fma.f64 a t (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (*.f64 a t) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 a t) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))))) (neg.f64 (fma.f64 a t (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 (*.f64 a t) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 12 binary64)) (*.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))))) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a t) #s(literal 9 binary64)) (pow.f64 z #s(literal 18 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a t) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (*.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 a t (*.f64 z z))) (*.f64 (fma.f64 a t (*.f64 z z)) (pow.f64 (*.f64 a t) #s(literal 2 binary64)))) (*.f64 (fma.f64 a t (*.f64 z z)) (fma.f64 a t (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (neg.f64 (fma.f64 a t (*.f64 z z)))) (*.f64 (neg.f64 (fma.f64 a t (*.f64 z z))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (neg.f64 (fma.f64 a t (*.f64 z z))) (neg.f64 (fma.f64 a t (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) (neg.f64 (fma.f64 a t (*.f64 z z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (neg.f64 (fma.f64 a t (*.f64 z z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (neg.f64 (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) (fma.f64 a t (*.f64 z z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 a t (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) (fma.f64 a t (*.f64 z z)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 a t (*.f64 z z))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) (neg.f64 (fma.f64 a t (*.f64 z z))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (neg.f64 (fma.f64 a t (*.f64 z z)))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 (neg.f64 a) t)) |
(fma.f64 (*.f64 t #s(literal -1 binary64)) a (*.f64 z z)) |
(fma.f64 (neg.f64 t) a (*.f64 z z)) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (neg.f64 (fma.f64 a t (*.f64 z z))))) |
(fma.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 (neg.f64 (fma.f64 a t (*.f64 z z))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (fma.f64 a t (*.f64 z z)))))) |
(fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 a t) (*.f64 z z)) |
(fma.f64 (*.f64 a t) #s(literal -1 binary64) (*.f64 z z)) |
(fma.f64 a (neg.f64 t) (*.f64 z z)) |
(fma.f64 t (neg.f64 a) (*.f64 z z)) |
(fma.f64 z z (*.f64 (neg.f64 a) t)) |
(-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 a t)) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 a t (*.f64 z z))) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (neg.f64 (fma.f64 a t (*.f64 z z)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (fma.f64 a t (*.f64 z z))))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 a t) (*.f64 z z))) |
(-.f64 (*.f64 z z) (*.f64 a t)) |
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 a t (*.f64 z z))) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (neg.f64 (fma.f64 a t (*.f64 z z))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (neg.f64 (fma.f64 a t (*.f64 z z)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (fma.f64 a t (*.f64 z z)))))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (neg.f64 a) t) (*.f64 z z)) |
(+.f64 (*.f64 z z) (*.f64 (neg.f64 a) t)) |
(*.f64 (pow.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64))) |
(pow.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(neg.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #s(literal -1 binary64))) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
Compiled 41 313 to 3 423 computations (91.7% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 692 | 3 | 1 695 |
| Fresh | 1 | 9 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 695 | 17 | 1 712 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 18.8% | (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
| ▶ | 28.7% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
| 43.0% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))))) | |
| 38.0% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))))) | |
| ✓ | 22.9% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
| ✓ | 81.5% | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
| 30.5% | (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) | |
| ✓ | 67.9% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
| ▶ | 65.8% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
| ▶ | 65.0% | (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) |
| ▶ | 49.3% | (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
| ▶ | 49.4% | (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
| 20.3% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 (fma.f64 (/.f64 z (*.f64 t t)) (/.f64 z a) (/.f64 #s(literal 1 binary64) t)) (neg.f64 a)))) (*.f64 (*.f64 z y) x))) | |
| 29.4% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 t a)))) (*.f64 (*.f64 z y) x))) | |
| 57.4% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #s(literal -1/2 binary64))) (*.f64 (*.f64 z y) x))) | |
| 60.3% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) | |
| ✓ | 75.8% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
Compiled 609 to 424 computations (30.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| cost-diff | 0 | (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| cost-diff | 0 | (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| cost-diff | 0 | (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| cost-diff | 0 | (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
| 1 888× | lower-fma.f32 |
| 1 886× | lower-fma.f64 |
| 1 832× | lower-*.f32 |
| 1 806× | lower-*.f64 |
| 898× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 290 |
| 0 | 65 | 290 |
| 1 | 109 | 290 |
| 2 | 194 | 290 |
| 3 | 372 | 290 |
| 4 | 621 | 290 |
| 5 | 724 | 290 |
| 6 | 890 | 290 |
| 7 | 1009 | 290 |
| 8 | 1433 | 290 |
| 9 | 2146 | 290 |
| 10 | 3265 | 290 |
| 11 | 3959 | 290 |
| 12 | 4212 | 290 |
| 13 | 4359 | 290 |
| 14 | 4373 | 290 |
| 15 | 4663 | 290 |
| 16 | 4795 | 290 |
| 17 | 4823 | 290 |
| 18 | 4823 | 290 |
| 19 | 4823 | 290 |
| 20 | 4823 | 290 |
| 21 | 4823 | 290 |
| 22 | 4851 | 290 |
| 23 | 4890 | 290 |
| 24 | 4890 | 290 |
| 0 | 4890 | 290 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
z |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
x |
y |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(*.f64 z y) |
y |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
x |
#s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
(*.f64 (neg.f64 a) t) |
(neg.f64 a) |
a |
t |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) |
(*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
y |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
z |
x |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(/.f64 (*.f64 x z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
z |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(fma.f64 (neg.f64 t) a (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
x |
y |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 (*.f64 y z) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))) |
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(*.f64 z y) |
(*.f64 y z) |
y |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) x) |
x |
#s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) |
(*.f64 (*.f64 x y) z) |
(*.f64 (*.f64 y x) z) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a)))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
#s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))) |
(*.f64 (neg.f64 a) t) |
(*.f64 t (neg.f64 a)) |
(neg.f64 a) |
a |
t |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) |
(/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
y |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(fma.f64 (neg.f64 t) a (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
z |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) | |
| accuracy | 0.07421875 | (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 7.489056233435564 | (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) | |
| accuracy | 24.450955082447294 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 5.719769239263047 | (*.f64 (*.f64 x y) z) | |
| accuracy | 9.16033556705028 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) | |
| accuracy | 24.450955082447294 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) | |
| accuracy | 39.9060744443233 | #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.1796875 | (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) | |
| accuracy | 17.923428194920568 | (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) | |
| accuracy | 19.155053074560445 | #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 17.923428194920568 | (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) | |
| accuracy | 18.698219439402173 | #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) | |
| accuracy | 0.05859375 | (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 0.6181463096632911 | (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) | |
| accuracy | 2.7030651351966317 | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) | |
| accuracy | 24.450955082447294 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
| 64.0ms | 256× | 0 | valid |
Compiled 269 to 35 computations (87% saved)
ival-mult: 19.0ms (51% of total)ival-div: 10.0ms (26.9% of total)ival-sqrt: 3.0ms (8.1% of total)ival-neg: 2.0ms (5.4% of total)ival-add: 1.0ms (2.7% of total)ival-sub: 1.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) (patch (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (patch (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) (patch (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) (patch (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) #<representation binary64>) () ()) |
#s(alt (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (patch #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) (patch #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 a) (#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) (patch (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 a) (#s(alt (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) (taylor 0 a) (#s(alt (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 2)))))) (taylor 0 a) (#s(alt (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* a (+ (* 1/2 (/ (* t x) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (taylor 0 a) (#s(alt (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) (patch (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) (taylor 0 a) (#s(alt (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2)))))) (taylor 0 a) (#s(alt (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (taylor 0 a) (#s(alt (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) (patch (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) (patch (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) (taylor 0 a) (#s(alt (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) (patch (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) (taylor 0 a) (#s(alt (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) (patch (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 a) (#s(alt #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) (taylor 0 a) (#s(alt #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ())) ()) |
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#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) (patch (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) (patch (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) (patch (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) (patch (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | a | @ | 0 | ((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* z y) (* (* (neg z) y) (* x (/ -1 (sqrt (- (* z z) (* t a)))))) (* (neg z) y) (neg z) (* x (/ -1 (sqrt (- (* z z) (* t a))))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/ -1 (sqrt (- (* z z) (* t a)))) (- (* z z) (* t a))) |
| 5.0ms | y | @ | 0 | ((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* z y) (* (* (neg z) y) (* x (/ -1 (sqrt (- (* z z) (* t a)))))) (* (neg z) y) (neg z) (* x (/ -1 (sqrt (- (* z z) (* t a))))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/ -1 (sqrt (- (* z z) (* t a)))) (- (* z z) (* t a))) |
| 4.0ms | x | @ | -inf | ((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* z y) (* (* (neg z) y) (* x (/ -1 (sqrt (- (* z z) (* t a)))))) (* (neg z) y) (neg z) (* x (/ -1 (sqrt (- (* z z) (* t a))))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/ -1 (sqrt (- (* z z) (* t a)))) (- (* z z) (* t a))) |
| 3.0ms | y | @ | -inf | ((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* z y) (* (* (neg z) y) (* x (/ -1 (sqrt (- (* z z) (* t a)))))) (* (neg z) y) (neg z) (* x (/ -1 (sqrt (- (* z z) (* t a))))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/ -1 (sqrt (- (* z z) (* t a)))) (- (* z z) (* t a))) |
| 3.0ms | x | @ | inf | ((* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* z y) (* (* (neg z) y) (* x (/ -1 (sqrt (- (* z z) (* t a)))))) (* (neg z) y) (neg z) (* x (/ -1 (sqrt (- (* z z) (* t a))))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) x) (* (/ y (sqrt (+ (* (neg a) t) (* z z)))) z) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/ -1 (sqrt (- (* z z) (* t a)))) (- (* z z) (* t a))) |
| 1× | egg-herbie |
| 9 070× | lower-*.f64 |
| 9 070× | lower-*.f32 |
| 7 454× | lower-fma.f64 |
| 7 454× | lower-fma.f32 |
| 5 130× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1265 | 24206 |
| 1 | 4204 | 23727 |
| 0 | 8161 | 23015 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
x |
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ x (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 2)))))) |
(+ x (* a (+ (* 1/2 (/ (* t x) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2)))))) |
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(/ x z) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z)) |
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (* -1/2 (/ (* a (* t x)) (pow z 3)))) |
(+ (* -1 (/ x z)) (* a (+ (* -1/2 (/ (* t x) (pow z 3))) (* 1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
(+ (* -1 (/ x z)) (* a (+ (* -1/2 (/ (* t x) (pow z 3))) (* a (+ (* 1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* 1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ y (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t y) (pow z 2)))))) |
(+ y (* a (+ (* 1/2 (/ (* t y) (pow z 2))) (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) |
(/ y z) |
(+ (* 1/2 (/ (* a (* t y)) (pow z 3))) (/ y z)) |
(+ (* a (+ (* -1/2 (* a (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t y) (pow z 3))))) (/ y z)) |
(+ (* a (+ (* 1/2 (/ (* t y) (pow z 3))) (* a (+ (* -1/2 (* a (* y (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ y z)) |
(/ -1 z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(- (* a (+ (* -1/2 (/ t (pow z 3))) (* 1/2 (* a (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (/ 1 z)) |
(- (* a (+ (* -1/2 (/ t (pow z 3))) (* a (+ (* 1/2 (* a (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* 1/2 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) (/ 1 z)) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
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(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* 1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* y (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ t (pow a 7))) (/ (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))) (sqrt -1))))))) |
(* -1 (* a t)) |
(* a (- (/ (pow z 2) a) t)) |
(* a (- (/ (pow z 2) a) t)) |
(* a (- (/ (pow z 2) a) t)) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* -1/2 (* (sqrt (/ t a)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* y (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* y (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 4) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ t a)) (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) (pow a 3))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))))) |
(* -1 (* a t)) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
x |
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ x (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 2)))))) |
(+ x (* t (+ (* 1/2 (/ (* a x) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2)))))) |
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(/ x z) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z)) |
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (* -1/2 (/ (* a (* t x)) (pow z 3)))) |
(+ (* -1 (/ x z)) (* t (+ (* -1/2 (/ (* a x) (pow z 3))) (* 1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) |
(+ (* -1 (/ x z)) (* t (+ (* -1/2 (/ (* a x) (pow z 3))) (* t (+ (* 1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* 1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ y (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a y) (pow z 2)))))) |
(+ y (* t (+ (* 1/2 (/ (* a y) (pow z 2))) (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) |
(/ y z) |
(+ (* 1/2 (/ (* a (* t y)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* -1/2 (* t (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a y) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (* a y) (pow z 3))) (* t (+ (* -1/2 (* t (* y (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ y z)) |
(/ -1 z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(- (* t (+ (* -1/2 (/ a (pow z 3))) (* 1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (/ 1 z)) |
(- (* t (+ (* -1/2 (/ a (pow z 3))) (* t (+ (* 1/2 (* t (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* 1/2 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) (/ 1 z)) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* 1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* y (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a (pow t 7))) (/ (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))) (sqrt -1))))))) |
(* -1 (* a t)) |
(* t (- (/ (pow z 2) t) a)) |
(* t (- (/ (pow z 2) t) a)) |
(* t (- (/ (pow z 2) t) a)) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 5) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 5) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a t)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* -1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 4) (sqrt -1)))))) (pow t 3))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* y (* (pow z 5) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* y (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* y (* (pow z 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 4) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a t)) (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))) (* -1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 4) (sqrt -1))))) (pow t 3))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))))) |
(* -1 (* a t)) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1))))))) |
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1))))))))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* (pow z 2) (+ (* 1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1))))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* 1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* 1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))) |
(+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1))))))) |
(+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1))))))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (+ (* 1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1))))))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* 1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* 1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1))))))))) |
(* -1 (* a t)) |
(- (pow z 2) (* a t)) |
(- (pow z 2) (* a t)) |
(- (pow z 2) (* a t)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
x |
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) |
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(/ x z) |
(/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z) |
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z) |
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ x z)) |
(/ (+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2)))) z) |
(/ (+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) z) |
(/ (+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) z) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2))))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t y)) (pow z 2)))))) |
(/ y z) |
(/ (+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) z) |
(/ (+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2))))) z) |
(/ (+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t y)) (pow z 2)))))) z) |
(/ -1 z) |
(/ (- (* -1/2 (/ (* a t) (pow z 2))) 1) z) |
(/ (- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) z) |
(/ (- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) z) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 x) |
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
-1 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 (/ x z)) |
(* -1 (/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z)) |
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z)) |
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ x z) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2)))) z)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) z)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) z)) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 y) |
(+ (* -1 y) (* -1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ (* -1 y) (+ (* -1/2 (/ (* a (* t y)) (pow z 2))) (* 1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 y) (+ (* -1/2 (/ (* a (* t y)) (pow z 2))) (+ (* 1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
(* -1 (/ y z)) |
(* -1 (/ (+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) z)) |
(* -1 (/ (+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2))))) z)) |
(* -1 (/ (+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t y)) (pow z 2)))))) z)) |
(/ 1 z) |
(* -1 (/ (- (* -1/2 (/ (* a t) (pow z 2))) 1) z)) |
(* -1 (/ (- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) z)) |
(* -1 (/ (- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) z)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) x) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
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x |
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) |
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1 |
#s(literal 1 binary64) |
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z |
(+ z (* -1/2 (/ (* a t) z))) |
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(/ x z) |
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(*.f64 y x) |
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(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
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(* x y) |
(*.f64 y x) |
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z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (/.f64 (*.f64 t a) z) #s(literal -1/2 binary64) z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
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(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
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y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
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(/ y z) |
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(* (sqrt (* a t)) (sqrt -1)) |
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x |
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1 |
#s(literal 1 binary64) |
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y |
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(/ y z) |
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(pow z 2) |
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(* (sqrt (* a t)) (sqrt -1)) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* -1 (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
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(* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) |
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(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
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(* -1 (* a t)) |
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(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
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1 |
#s(literal 1 binary64) |
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z |
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y |
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(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* -1 (* x (sqrt (/ 1 (- (pow z 2) (* a t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (neg.f64 x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
| 5 716× | lower-fma.f32 |
| 5 714× | lower-fma.f64 |
| 4 282× | lower-*.f32 |
| 4 256× | lower-*.f64 |
| 2 582× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 227 |
| 0 | 65 | 227 |
| 1 | 181 | 227 |
| 2 | 807 | 227 |
| 3 | 6604 | 227 |
| 0 | 8094 | 227 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) |
(/.f64 x z) |
(*.f64 z y) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
(*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) |
(*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
#s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 y x) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) (neg.f64 z)) |
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 t a) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 t a (*.f64 z z)))) |
(*.f64 (/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 (-.f64 (pow.f64 (*.f64 t a) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 t a (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 (*.f64 y x) z) (hypot.f64 (pow.f64 (*.f64 t a) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 t a (*.f64 z z)) (*.f64 t a) (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 x z) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) (neg.f64 y)) |
(*.f64 (/.f64 (*.f64 x z) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 y (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 y z) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 x (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (*.f64 x z) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (/.f64 x (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (*.f64 y z) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 z (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (*.f64 y x) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) z)) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) x) z) |
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (*.f64 x z) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) (/.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) (/.f64 (*.f64 x z) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) z)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 x z))) |
(*.f64 (neg.f64 y) (/.f64 (*.f64 x z) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 y z) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) z) x) |
(*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 x z)) |
(*.f64 (*.f64 (*.f64 y x) z) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 y x) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 y x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 y x) z) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(*.f64 (*.f64 (neg.f64 z) y) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (neg.f64 z) (/.f64 (*.f64 y x) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 y x))) |
(*.f64 (neg.f64 z) (/.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 y (*.f64 x (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(*.f64 (*.f64 x (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) y) |
(*.f64 x (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) z)) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 y x)) |
(*.f64 z (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) x)) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) z) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) z)) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) x) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) z) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) y)) |
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) z)) |
(/.f64 (*.f64 x z) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) z) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y) (*.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 (*.f64 (neg.f64 z) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) (*.f64 (*.f64 y x) z))) |
(/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 (*.f64 y x) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) z)) |
(/.f64 y (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) x) z)) |
(/.f64 (*.f64 x (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y) z)) |
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
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(*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 y x))) |
(*.f64 (neg.f64 z) (/.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 y (*.f64 x (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(*.f64 (*.f64 x (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) y) |
(*.f64 x (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) z)) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 y x)) |
(*.f64 z (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) x)) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) z) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) z)) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) x) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) z) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) y)) |
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) z)) |
(/.f64 (*.f64 x z) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) z) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y) (*.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 (*.f64 (neg.f64 z) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) (*.f64 (*.f64 y x) z))) |
(/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 (*.f64 y x) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) z)) |
(/.f64 y (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) x) z)) |
(/.f64 (*.f64 x (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y) z)) |
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(neg.f64 (*.f64 (*.f64 x z) (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(neg.f64 (*.f64 (*.f64 y x) (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 x z))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 y x))) |
(neg.f64 (/.f64 (*.f64 (*.f64 y x) z) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 y x) z) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 t a) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 t a (*.f64 z z)))) |
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 (-.f64 (pow.f64 (*.f64 t a) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 t a (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 y z) (hypot.f64 (pow.f64 (*.f64 t a) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 t a (*.f64 z z)) (*.f64 t a) (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (/.f64 z (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 y (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (neg.f64 y)) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) (/.f64 z (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 y z)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) z)) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) z)) |
(*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) z) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(*.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) y)) |
(*.f64 (neg.f64 z) (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (*.f64 y z) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64))) |
(*.f64 y (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) y) |
(*.f64 z (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y) z) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) y)) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y) z))) |
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(/.f64 (neg.f64 z) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) y)) |
(/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 y (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) z)) |
(/.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 z (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y)) |
(neg.f64 (*.f64 y (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(neg.f64 (*.f64 z (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) y)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) z)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(neg.f64 (/.f64 (*.f64 y z) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y z) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(*.f64 (/.f64 y (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 t a) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 t a (*.f64 z z)))) |
(*.f64 (/.f64 y (sqrt.f64 (-.f64 (pow.f64 (*.f64 t a) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 t a (*.f64 z z))))) |
(*.f64 (/.f64 y (hypot.f64 (pow.f64 (*.f64 t a) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 t a (*.f64 z z)) (*.f64 t a) (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 y (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) y)) |
(/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))))) |
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) y)) #s(literal -1 binary64))) |
#s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))) |
Compiled 38 928 to 3 319 computations (91.5% saved)
28 alts after pruning (20 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 521 | 14 | 1 535 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 524 | 28 | 1 552 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 18.8% | (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
| 28.7% | (/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) | |
| 28.3% | (/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (*.f64 (log.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a)))) #s(literal 1/2 binary64)))) | |
| 43.0% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))))) | |
| 38.0% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))))) | |
| ✓ | 22.9% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
| 31.1% | (*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) | |
| 29.8% | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) z) | |
| 28.3% | (*.f64 (/.f64 (*.f64 x z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) y) | |
| 29.4% | (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) (*.f64 y x)) | |
| ✓ | 81.5% | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
| 49.4% | (*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) | |
| 30.5% | (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) | |
| ✓ | 65.8% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
| ✓ | 65.0% | (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) |
| 77.9% | (*.f64 (*.f64 (*.f64 (neg.f64 x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) y) | |
| ✓ | 49.3% | (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
| 75.7% | (*.f64 (*.f64 (neg.f64 y) x) (*.f64 z #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) | |
| 71.2% | (*.f64 (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z) x) | |
| 51.9% | (*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) | |
| 72.8% | (*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) | |
| ✓ | 49.4% | (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
| 49.1% | (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) | |
| 68.5% | (neg.f64 (*.f64 (*.f64 (*.f64 y x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) | |
| 20.3% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 (fma.f64 (/.f64 z (*.f64 t t)) (/.f64 z a) (/.f64 #s(literal 1 binary64) t)) (neg.f64 a)))) (*.f64 (*.f64 z y) x))) | |
| 29.4% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 t a)))) (*.f64 (*.f64 z y) x))) | |
| 60.3% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) | |
| ✓ | 75.8% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
Compiled 1 115 to 544 computations (51.2% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z) x) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) |
(neg.f64 (*.f64 (*.f64 (*.f64 y x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 z #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) y) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) (*.f64 y x)) |
(*.f64 (/.f64 (*.f64 x z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) y) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) z) |
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 t a)))) (*.f64 (*.f64 z y) x))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (*.f64 z (*.f64 y x)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 (fma.f64 (/.f64 z (*.f64 t t)) (/.f64 z a) (/.f64 #s(literal 1 binary64) t)) (neg.f64 a)))) (*.f64 (*.f64 z y) x))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #s(literal -1/2 binary64))) (*.f64 (*.f64 z y) x))) |
(/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (*.f64 (log.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a)))) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a (neg.f64 z)))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
8 calls:
| 99.0ms | z |
| 98.0ms | (*.f64 x y) |
| 93.0ms | y |
| 88.0ms | a |
| 12.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 2 | x |
| 81.5% | 1 | y |
| 92.4% | 2 | z |
| 81.5% | 1 | t |
| 81.5% | 1 | a |
| 92.9% | 3 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 83.3% | 2 | (*.f64 x y) |
| 87.0% | 3 | (*.f64 t a) |
Compiled 25 to 49 computations (-96% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z) x) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) |
(neg.f64 (*.f64 (*.f64 (*.f64 y x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 z #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) y) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) (*.f64 y x)) |
(*.f64 (/.f64 (*.f64 x z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) y) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) z) |
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 t a)))) (*.f64 (*.f64 z y) x))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
| Outputs |
|---|
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
1 calls:
| 87.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z) x) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) |
(neg.f64 (*.f64 (*.f64 (*.f64 y x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 z #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) y) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) (*.f64 y x)) |
(*.f64 (/.f64 (*.f64 x z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) y) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) z) |
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 t a)))) (*.f64 (*.f64 z y) x))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
3 calls:
| 9.0ms | z |
| 8.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 8.0ms | (*.f64 t a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 1 | (*.f64 t a) |
| 81.5% | 1 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 84.8% | 2 | z |
Compiled 18 to 23 computations (-27.8% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z) x) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) |
(neg.f64 (*.f64 (*.f64 (*.f64 y x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 z #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) y) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) (*.f64 y x)) |
(*.f64 (/.f64 (*.f64 x z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) y) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) z) |
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg a) t) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 t a)))) (*.f64 (*.f64 z y) x))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
1 calls:
| 26.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z) x) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) |
(neg.f64 (*.f64 (*.f64 (*.f64 y x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 z #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) y) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) (*.f64 y x)) |
(*.f64 (/.f64 (*.f64 x z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) y) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) z) |
| Outputs |
|---|
(*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
1 calls:
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z) x) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) |
(neg.f64 (*.f64 (*.f64 (*.f64 y x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 z #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) y) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (neg.f64 x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) y) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
8 calls:
| 7.0ms | (*.f64 t a) |
| 6.0ms | (*.f64 x y) |
| 5.0ms | t |
| 5.0ms | a |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 1 | y |
| 79.6% | 2 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 80.2% | 2 | (*.f64 t a) |
| 79.9% | 2 | a |
| 80.1% | 2 | t |
| 77.9% | 1 | (*.f64 x y) |
| 77.9% | 1 | x |
| 77.9% | 1 | z |
Compiled 25 to 49 computations (-96% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z) x) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) |
(neg.f64 (*.f64 (*.f64 (*.f64 y x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 z #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
| Outputs |
|---|
(neg.f64 (*.f64 (*.f64 (*.f64 y x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
8 calls:
| 7.0ms | (*.f64 t a) |
| 6.0ms | x |
| 4.0ms | t |
| 4.0ms | a |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 2 | z |
| 78.6% | 2 | y |
| 78.6% | 2 | (*.f64 x y) |
| 75.8% | 1 | x |
| 79.0% | 2 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 75.8% | 1 | a |
| 77.4% | 2 | t |
| 79.1% | 2 | (*.f64 t a) |
Compiled 25 to 49 computations (-96% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z) x) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) |
| Outputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
3 calls:
| 5.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 3.0ms | z |
| 3.0ms | (*.f64 t a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 2 | z |
| 75.8% | 1 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 78.3% | 2 | (*.f64 t a) |
Compiled 18 to 23 computations (-27.8% saved)
Total -40.0b remaining (-258.3%)
Threshold costs -40b (-258.3%)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) z) x) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
| Outputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
8 calls:
| 4.0ms | (*.f64 t a) |
| 3.0ms | y |
| 3.0ms | t |
| 3.0ms | z |
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 1 | x |
| 75.8% | 1 | a |
| 75.8% | 1 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 75.8% | 1 | t |
| 75.8% | 1 | (*.f64 t a) |
| 75.8% | 1 | (*.f64 x y) |
| 75.8% | 1 | y |
| 75.8% | 1 | z |
Compiled 25 to 49 computations (-96% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 1.1314184775985027e+80 | 3.1257049163938936e+87 |
| 32.0ms | 144× | 0 | valid |
| 0.0ms | 5× | 0 | invalid |
Compiled 179 to 209 computations (-16.8% saved)
ival-sqrt: 23.0ms (82.1% of total)ival-mult: 3.0ms (10.7% of total)ival-sub: 1.0ms (3.6% of total)ival-div: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.1177387269280006e+38 | 4.295909160183087e+39 |
| 7.0ms | 112× | 0 | valid |
| 0.0ms | 4× | 0 | invalid |
Compiled 220 to 209 computations (5% saved)
ival-mult: 3.0ms (66.4% of total)ival-div: 1.0ms (22.1% of total)ival-sqrt: 1.0ms (22.1% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 4.2975276024930655e-125 | 1.3871084660771798e-123 |
| 8.0ms | 112× | 0 | valid |
| 2.0ms | 30× | 0 | invalid |
Compiled 206 to 209 computations (-1.5% saved)
ival-mult: 3.0ms (54.5% of total)ival-sub: 1.0ms (18.2% of total)ival-div: 1.0ms (18.2% of total)ival-sqrt: 1.0ms (18.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.459423639768689e-100 | 1.0210958484868094e-99 |
| 6.0ms | 96× | 0 | valid |
| 2.0ms | 24× | 0 | invalid |
Compiled 113 to 146 computations (-29.2% saved)
ival-mult: 3.0ms (64.3% of total)ival-sub: 1.0ms (21.4% of total)ival-div: 1.0ms (21.4% of total)ival-sqrt: 1.0ms (21.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.459423639768689e-100 | 1.0210958484868094e-99 |
Compiled 113 to 146 computations (-29.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -6.266059956050502e-51 | -8.258687878325794e-67 |
| 10.0ms | 160× | 0 | valid |
Compiled 167 to 230 computations (-37.7% saved)
ival-mult: 3.0ms (54.2% of total)ival-sub: 1.0ms (18.1% of total)ival-div: 1.0ms (18.1% of total)ival-sqrt: 1.0ms (18.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -3.1909179236483216e+184 | -2.5734233174969038e+182 |
| 9.0ms | 112× | 0 | valid |
Compiled 122 to 167 computations (-36.9% saved)
ival-mult: 4.0ms (71.2% of total)ival-div: 1.0ms (17.8% of total)ival-sqrt: 1.0ms (17.8% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.1022312878729062e-122 | 3.4988189194637345e-118 |
| 9.0ms | 128× | 0 | valid |
| 2.0ms | 35× | 0 | invalid |
Compiled 137 to 188 computations (-37.2% saved)
ival-mult: 4.0ms (62.4% of total)ival-sub: 1.0ms (15.6% of total)ival-div: 1.0ms (15.6% of total)ival-sqrt: 1.0ms (15.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 68× | *-commutative-binary64-*.f64 |
| 30× | neg-sub0-binary64--.f64-neg.f64 |
| 30× | neg-mul-1-binary64-*.f64-neg.f64 |
| 26× | +-commutative-binary64-+.f64 |
| 26× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 372 |
| 1 | 122 | 372 |
| 2 | 155 | 372 |
| 3 | 193 | 372 |
| 4 | 213 | 372 |
| 5 | 221 | 372 |
| 6 | 223 | 372 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z #s(literal 1650000000000000065551125211356923225709106103638833562516361631852483331989539899047936 binary64)) (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 799999999999999981990478587648272236544 binary64)) (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 7859626934847087/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) (*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 2462625387274655/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 2462625387274655/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 (*.f64 t a) #s(literal -2408475456136177/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) y) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 (*.f64 t a) #s(literal -2900000000000000069204150533318179972423531164014983082171454639135575083669141427456118715053209327656255939076123855554686929346306229350604672279211178777041260228043399439241445376 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 y x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 8404072749667955/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
| Outputs |
|---|
(if (<=.f64 z #s(literal 1650000000000000065551125211356923225709106103638833562516361631852483331989539899047936 binary64)) (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 1650000000000000065551125211356923225709106103638833562516361631852483331989539899047936 binary64)) (*.f64 x (*.f64 y (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))) |
(if (<=.f64 z #s(literal 799999999999999981990478587648272236544 binary64)) (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 799999999999999981990478587648272236544 binary64)) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y z)) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 x y))) |
(if (<=.f64 z #s(literal 7859626934847087/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) (*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 7859626934847087/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) (*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 x y))) |
(if (<=.f64 z #s(literal 2462625387274655/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 2462625387274655/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (*.f64 (/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) x) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))) |
(if (<=.f64 z #s(literal 2462625387274655/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 2462625387274655/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 t (neg.f64 a))))) (*.f64 y z)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))) |
(if (<=.f64 (*.f64 t a) #s(literal -2408475456136177/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) y) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 (*.f64 t a) #s(literal -2408475456136177/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 (neg.f64 y) (*.f64 (*.f64 x z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))) |
(if (<=.f64 (*.f64 t a) #s(literal -2900000000000000069204150533318179972423531164014983082171454639135575083669141427456118715053209327656255939076123855554686929346306229350604672279211178777041260228043399439241445376 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 y x) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 (*.f64 t a) #s(literal -2900000000000000069204150533318179972423531164014983082171454639135575083669141427456118715053209327656255939076123855554686929346306229350604672279211178777041260228043399439241445376 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))) |
(if (<=.f64 z #s(literal 8404072749667955/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z y) x))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 8404072749667955/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (*.f64 (*.f64 y z) x) #s(approx (sqrt (/ 1 (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) z)))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)) |
| 9 708× | lower-fma.f32 |
| 9 704× | lower-fma.f64 |
| 9 240× | lower-fma.f64 |
| 9 240× | lower-fma.f32 |
| 8 704× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 974 | 21589 |
| 1 | 3171 | 21004 |
| 0 | 8360 | 20313 |
| 0 | 12 | 37 |
| 0 | 19 | 37 |
| 1 | 56 | 37 |
| 2 | 320 | 37 |
| 3 | 2703 | 37 |
| 0 | 8429 | 37 |
| 0 | 973 | 22162 |
| 1 | 3251 | 21568 |
| 0 | 8391 | 20872 |
| 0 | 39 | 222 |
| 0 | 62 | 218 |
| 1 | 192 | 217 |
| 2 | 1036 | 217 |
| 0 | 9138 | 217 |
| 0 | 42 | 227 |
| 0 | 65 | 227 |
| 1 | 181 | 227 |
| 2 | 807 | 227 |
| 3 | 6604 | 227 |
| 0 | 8094 | 227 |
| 0 | 495 | 3663 |
| 1 | 1609 | 3591 |
| 2 | 6491 | 3573 |
| 0 | 8282 | 3461 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 592 to 401 computations (32.3% saved)
(sort t a)
Compiled 1 260 to 822 computations (34.8% saved)
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