
Time bar (total: 6.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 43.7% | 43.7% | 0.1% | 0% | 12.5% | 0% | 5 |
| 60.7% | 53.1% | 34.3% | 0.1% | 0% | 12.5% | 0% | 6 |
| 72.2% | 60.9% | 23.4% | 0.1% | 0% | 15.6% | 0% | 7 |
| 79.4% | 63.2% | 16.4% | 0.1% | 0% | 20.3% | 0% | 8 |
| 85.6% | 67.5% | 11.3% | 0.1% | 0% | 21.1% | 0% | 9 |
| 89.6% | 68.9% | 8% | 0.1% | 0% | 23% | 0% | 10 |
| 92.7% | 71.1% | 5.6% | 0.1% | 0% | 23.2% | 0% | 11 |
| 94.8% | 71.9% | 4% | 0.1% | 0% | 24.1% | 0% | 12 |
Compiled 15 to 13 computations (13.3% saved)
| 849.0ms | 8 256× | 0 | valid |
| 9.0ms | 126× | 0 | invalid |
ival-mult: 221.0ms (35.6% of total)const: 118.0ms (19% of total)ival-atan: 102.0ms (16.4% of total)ival-sqrt: 68.0ms (11% of total)ival-div: 54.0ms (8.7% of total)ival-sub: 42.0ms (6.8% of total)ival-true: 6.0ms (1% of total)exact: 5.0ms (0.8% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 75 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
| 1 | 0 | - | 0 | - | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
| 0 | 0 | - | 0 | - | (*.f64 v v) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
| 0 | 0 | - | 0 | - | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 0 | 0 | - | 0 | - | H |
| 0 | 0 | - | 0 | - | #s(literal 49/5 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) | oflow-rescue | 75 | 0 |
| ↳ | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | overflow | 75 | |
| ↳ | (*.f64 v v) | overflow | 75 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) | overflow | 1 | |
-.f64 | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 v v) | overflow | 75 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 75 | 1 |
| - | 0 | 180 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 75 | 0 | 1 |
| - | 0 | 0 | 180 |
| number | freq |
|---|---|
| 0 | 181 |
| 1 | 74 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 55.0ms | 500× | 0 | valid |
| 10.0ms | 12× | 5 | exit |
Compiled 137 to 37 computations (73% saved)
ival-mult: 13.0ms (27.6% of total)ival-sqrt: 13.0ms (27.6% of total)const: 8.0ms (17% of total)ival-atan: 5.0ms (10.6% of total)ival-div: 4.0ms (8.5% of total)ival-sub: 2.0ms (4.2% of total)adjust: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 224× | lower-fma.f64 |
| 224× | lower-fma.f32 |
| 168× | lower-*.f32 |
| 164× | lower-*.f64 |
| 138× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 61 |
| 1 | 63 | 59 |
| 2 | 118 | 59 |
| 3 | 223 | 59 |
| 4 | 391 | 59 |
| 5 | 639 | 59 |
| 6 | 866 | 59 |
| 7 | 1009 | 59 |
| 8 | 1154 | 59 |
| 9 | 1188 | 59 |
| 10 | 1204 | 59 |
| 0 | 11 | 11 |
| 0 | 19 | 11 |
| 1 | 26 | 11 |
| 2 | 36 | 11 |
| 3 | 45 | 11 |
| 4 | 61 | 11 |
| 5 | 82 | 11 |
| 6 | 126 | 11 |
| 7 | 173 | 11 |
| 8 | 229 | 11 |
| 9 | 286 | 11 |
| 10 | 375 | 11 |
| 11 | 415 | 11 |
| 12 | 504 | 11 |
| 13 | 526 | 11 |
| 14 | 534 | 11 |
| 0 | 534 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
Compiled 15 to 11 computations (26.7% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.1% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) | |
| cost-diff | 128 | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | |
| cost-diff | 320 | (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
| 224× | lower-fma.f64 |
| 224× | lower-fma.f32 |
| 168× | lower-*.f32 |
| 164× | lower-*.f64 |
| 72× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 0 | 19 | 47 |
| 1 | 26 | 47 |
| 2 | 36 | 47 |
| 3 | 45 | 47 |
| 4 | 61 | 47 |
| 5 | 82 | 47 |
| 6 | 126 | 47 |
| 7 | 173 | 47 |
| 8 | 229 | 47 |
| 9 | 286 | 47 |
| 10 | 375 | 47 |
| 11 | 415 | 47 |
| 12 | 504 | 47 |
| 13 | 526 | 47 |
| 14 | 534 | 47 |
| 0 | 534 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
v |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(*.f64 v v) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
#s(literal 2 binary64) |
#s(literal 49/5 binary64) |
H |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
v |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(*.f64 v v) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
(*.f64 H #s(literal 98/5 binary64)) |
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
#s(literal 98/5 binary64) |
#s(literal 2 binary64) |
#s(literal 49/5 binary64) |
H |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) | |
| accuracy | 0.20703125000000003 | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | |
| accuracy | 0.45703125 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) | |
| accuracy | 17.581610221940355 | (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
| 24.0ms | 250× | 0 | valid |
| 3.0ms | 6× | 5 | exit |
Compiled 61 to 13 computations (78.7% saved)
const: 5.0ms (26.9% of total)ival-mult: 5.0ms (26.9% of total)ival-div: 2.0ms (10.7% of total)ival-atan: 2.0ms (10.7% of total)ival-sqrt: 2.0ms (10.7% of total)adjust: 1.0ms (5.4% of total)ival-sub: 1.0ms (5.4% 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 #s(literal 2 binary64) #s(literal 49/5 binary64)) (patch (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ()) |
#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ()) |
#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -98/5 H) (taylor 0 v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow v 2) (* 98/5 H)) (taylor 0 v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow v 2) (* 98/5 H)) (taylor 0 v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow v 2) (* 98/5 H)) (taylor 0 v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) (taylor 0 v) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) (taylor 0 v) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) (taylor 0 v) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt H) (sqrt -98/5)) (taylor 0 v) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) (taylor 0 v) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) (taylor 0 v) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) (taylor 0 v) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ()) |
#s(alt (pow v 2) (taylor inf v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (taylor inf v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (taylor inf v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (taylor inf v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ()) |
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#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) (taylor inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) (taylor inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) (taylor inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt H) (sqrt -98/5)) (taylor inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ()) |
#s(alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) (taylor inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ()) |
#s(alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) (taylor inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ()) |
#s(alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) (taylor inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ()) |
#s(alt (* 98/5 H) (taylor inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ()) |
#s(alt (* 98/5 H) (taylor inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ()) |
#s(alt (* 98/5 H) (taylor inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ()) |
#s(alt (* 98/5 H) (taylor inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) (taylor -inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) (taylor -inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) (taylor -inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) (taylor -inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ()) |
#s(alt (* 98/5 H) (taylor -inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ()) |
#s(alt (* 98/5 H) (taylor -inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ()) |
#s(alt (* 98/5 H) (taylor -inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ()) |
#s(alt (* 98/5 H) (taylor -inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | H | @ | -inf | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 3.0ms | v | @ | 0 | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 3.0ms | H | @ | inf | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 2.0ms | v | @ | inf | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 1.0ms | v | @ | -inf | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 1× | egg-herbie |
| 10 028× | lower-fma.f64 |
| 10 028× | lower-fma.f32 |
| 6 464× | lower-*.f64 |
| 6 464× | lower-*.f32 |
| 3 108× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 1843 |
| 1 | 933 | 1797 |
| 2 | 3156 | 1774 |
| 3 | 7233 | 1741 |
| 0 | 8250 | 1626 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
(- (pow v 2) (* 98/5 H)) |
(- (pow v 2) (* 98/5 H)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(pow v 2) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
v |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* -98/5 H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* (sqrt H) (sqrt -98/5)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* -98/5 H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
| Outputs |
|---|
(* -98/5 H) |
(*.f64 H #s(literal -98/5 binary64)) |
(- (pow v 2) (* 98/5 H)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(- (pow v 2) (* 98/5 H)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(- (pow v 2) (* 98/5 H)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64)))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(fma.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (*.f64 (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (*.f64 v v))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 v v)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))))) (*.f64 v v) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) |
(pow v 2) |
(*.f64 v v) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -7203/25 binary64) (*.f64 H H)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -7203/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (fma.f64 #s(literal -49/5 binary64) (*.f64 #s(literal -7203/25 binary64) (*.f64 H H)) (*.f64 #s(literal -941192/125 binary64) (*.f64 H H)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1 binary64))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2401/50 binary64) (*.f64 H H)) (*.f64 (*.f64 v v) (*.f64 v v))) v (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -117649/250 binary64) (*.f64 H H)) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) v) |
(pow v 2) |
(*.f64 v v) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
-1 |
#s(literal -1 binary64) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(fma.f64 (/.f64 (*.f64 #s(literal -7203/25 binary64) (*.f64 H H)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1/2 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) H (fma.f64 (fma.f64 #s(literal -7203/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (fma.f64 #s(literal -49/5 binary64) (*.f64 #s(literal -7203/25 binary64) (*.f64 H H)) (*.f64 #s(literal -941192/125 binary64) (*.f64 H H)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* -1 v) |
(neg.f64 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(*.f64 (fma.f64 #s(literal 2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal -1 binary64))) v) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(*.f64 (fma.f64 #s(literal 117649/250 binary64) (*.f64 (*.f64 H H) (/.f64 H (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal -1 binary64)))) v) |
(pow v 2) |
(*.f64 v v) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)) |
v |
(+ v (* -49/5 (/ H v))) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) v)) H (/.f64 #s(literal -49/5 binary64) v)) H v) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) v))) H (/.f64 #s(literal -49/5 binary64) v)) H v) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* -98/5 H) |
(*.f64 H #s(literal -98/5 binary64)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -125/1882384 binary64) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -125/1882384 binary64) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal -1/2 binary64)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -125/3764768 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) v) (*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* -98/5 H) |
(*.f64 H #s(literal -98/5 binary64)) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal 5/98 binary64))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) #s(literal -25/19208 binary64)) (*.f64 (*.f64 v v) v))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) #s(literal -25/19208 binary64)) (*.f64 (*.f64 v v) v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -125/3764768 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal -125/1882384 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 H)))) (*.f64 (*.f64 H H) H)))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 H))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))) H) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
| 7 948× | lower-fma.f64 |
| 7 948× | lower-fma.f32 |
| 4 050× | lower-*.f32 |
| 4 046× | lower-*.f64 |
| 3 070× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 0 | 19 | 40 |
| 1 | 50 | 40 |
| 2 | 275 | 40 |
| 3 | 2260 | 40 |
| 0 | 8978 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| Outputs |
|---|
#s(literal 98/5 binary64) |
(*.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))) |
(*.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 v v) (*.f64 #s(literal -885842380864/15625 binary64) (*.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 H H) H))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 #s(literal -833747762130149888/1953125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 H H) H)) (*.f64 (*.f64 H H) H))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 v v) (*.f64 (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)) (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (*.f64 (*.f64 (*.f64 v v) v) v)))) |
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(*.f64 #s(literal 98/5 binary64) H) |
(pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 H #s(literal 98/5 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 H #s(literal 98/5 binary64)))) |
Compiled 18 877 to 1 991 computations (89.5% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 427 | 12 | 439 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 428 | 12 | 440 |
| Status | Accuracy | Program |
|---|---|---|
| 71.0% | (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (/.f64 #s(literal 1 binary64) v))) | |
| 68.0% | (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) | |
| ▶ | 71.1% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| 43.6% | (atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))) | |
| ▶ | 40.2% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
| 36.0% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) | |
| 70.8% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) | |
| 32.3% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) | |
| ▶ | 36.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
| 32.2% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) | |
| ▶ | 35.9% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ▶ | 71.1% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) |
Compiled 338 to 208 computations (38.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) | |
| cost-diff | 0 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) | |
| cost-diff | 0 | (/.f64 H (*.f64 v v)) | |
| cost-diff | 0 | (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) | |
| cost-diff | 0 | (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) | |
| cost-diff | 0 | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) |
| 856× | lower-fma.f32 |
| 852× | lower-fma.f64 |
| 704× | lower-*.f32 |
| 696× | lower-*.f64 |
| 368× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 258 |
| 0 | 59 | 249 |
| 1 | 78 | 249 |
| 2 | 94 | 249 |
| 3 | 109 | 249 |
| 4 | 127 | 249 |
| 5 | 150 | 249 |
| 6 | 198 | 249 |
| 7 | 277 | 249 |
| 8 | 546 | 249 |
| 9 | 994 | 249 |
| 10 | 1493 | 249 |
| 11 | 1891 | 249 |
| 12 | 2026 | 249 |
| 13 | 2097 | 249 |
| 14 | 2153 | 249 |
| 15 | 2180 | 249 |
| 16 | 2184 | 249 |
| 0 | 2184 | 249 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
v |
(*.f64 H #s(literal -98/5 binary64)) |
H |
#s(literal -98/5 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
#s(literal -49/5 binary64) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 H #s(literal -98/5 binary64)) |
H |
#s(literal -98/5 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) |
v |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
#s(literal 1 binary64) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
v |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal -98/5 binary64) H) |
H |
#s(literal -98/5 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) |
#s(literal -49/5 binary64) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal -98/5 binary64) H) |
H |
#s(literal -98/5 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
v |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) | |
| accuracy | 0.24999724760556022 | (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) | |
| accuracy | 0.45703125 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 17.581610221940355 | (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) | |
| accuracy | 0.078125 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) | |
| accuracy | 0.45703125 | (*.f64 H #s(literal -98/5 binary64)) | |
| accuracy | 17.581610221940355 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) | |
| accuracy | 39.99481686057631 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) | |
| accuracy | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) | |
| accuracy | 0.07421875 | (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) | |
| accuracy | 6.953595744080091 | (/.f64 H (*.f64 v v)) | |
| accuracy | 40.240701099780175 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) | |
| accuracy | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) | |
| accuracy | 40.115373042901545 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) | |
| accuracy | 0.24999724760556022 | (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) | |
| accuracy | 0.45703125 | (*.f64 H #s(literal -98/5 binary64)) | |
| accuracy | 0.5557873690700832 | (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) | |
| accuracy | 17.057368601657497 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
| 85.0ms | 250× | 0 | valid |
| 6.0ms | 6× | 5 | exit |
Compiled 237 to 31 computations (86.9% saved)
const: 15.0ms (26.3% of total)ival-div: 11.0ms (19.3% of total)ival-mult: 11.0ms (19.3% of total)ival-atan: 7.0ms (12.3% of total)ival-sqrt: 7.0ms (12.3% of total)ival-add: 3.0ms (5.3% of total)adjust: 1.0ms (1.8% of total)ival-sub: 1.0ms (1.8% 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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) #<representation binary64>) () ()) |
#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ()) |
#s(alt (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) (patch (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ()) |
#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) #<representation binary64>) () ()) |
#s(alt (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (patch (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ()) |
#s(alt (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 H #s(literal -98/5 binary64)) (patch (*.f64 H #s(literal -98/5 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (patch (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 H)) (sqrt -5/98)) (taylor 0 v) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) (taylor 0 v) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) (taylor 0 v) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) (taylor 0 v) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) (taylor 0 v) (#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) (taylor 0 v) (#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) (taylor 0 v) (#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) (taylor 0 v) (#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) (taylor 0 v) (#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) (taylor 0 v) (#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -49/5 (/ H (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) (taylor 0 v) (#s(alt (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) (taylor 0 v) (#s(alt (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) (taylor 0 v) (#s(alt (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ H (pow v 2)) (taylor 0 v) (#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ()) |
#s(alt (/ H (pow v 2)) (taylor 0 v) (#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ()) |
#s(alt (/ H (pow v 2)) (taylor 0 v) (#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ()) |
#s(alt (/ H (pow v 2)) (taylor 0 v) (#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) (taylor -inf H) (#s(alt (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) (taylor -inf H) (#s(alt (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) (taylor -inf H) (#s(alt (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (/ -5/98 H) (taylor -inf H) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) (taylor -inf H) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) (taylor -inf H) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) (taylor -inf H) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 H #s(literal -98/5 binary64)) (patch (*.f64 H #s(literal -98/5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 H #s(literal -98/5 binary64)) (patch (*.f64 H #s(literal -98/5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 H #s(literal -98/5 binary64)) (patch (*.f64 H #s(literal -98/5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 H #s(literal -98/5 binary64)) (patch (*.f64 H #s(literal -98/5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (patch (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (patch (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (patch (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (patch (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | H | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (/ 1 (+ (* v v) (* H -98/5))) (* H -98/5) (+ (* v v) (* H -98/5)) (* -98/5 H)) |
| 3.0ms | H | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (/ 1 (+ (* v v) (* H -98/5))) (* H -98/5) (+ (* v v) (* H -98/5)) (* -98/5 H)) |
| 2.0ms | H | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (/ 1 (+ (* v v) (* H -98/5))) (* H -98/5) (+ (* v v) (* H -98/5)) (* -98/5 H)) |
| 2.0ms | v | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (/ 1 (+ (* v v) (* H -98/5))) (* H -98/5) (+ (* v v) (* H -98/5)) (* -98/5 H)) |
| 2.0ms | v | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (/ 1 (+ (* v v) (* H -98/5))) (* H -98/5) (+ (* v v) (* H -98/5)) (* -98/5 H)) |
| 1× | egg-herbie |
| 13 360× | lower-fma.f64 |
| 13 360× | lower-fma.f32 |
| 6 828× | lower-*.f64 |
| 6 828× | lower-*.f32 |
| 4 278× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 480 | 8741 |
| 1 | 1397 | 8474 |
| 2 | 4525 | 8409 |
| 0 | 8743 | 7855 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* -49/5 (/ H (pow v 2))) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
(- (pow v 2) (* 98/5 H)) |
(- (pow v 2) (* 98/5 H)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(/ -5/98 H) |
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(/ 1 v) |
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(/ 1 (pow v 2)) |
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(/ -1 v) |
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(/ 1 (pow v 2)) |
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(/ 1 v) |
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v)) |
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
v |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(pow v 2) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
v |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(pow v 2) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(/ 1 (pow v 2)) |
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))) |
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(pow v 2) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* -49/5 (/ H (pow v 2))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* (sqrt H) (sqrt -98/5)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -98/5 H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* (sqrt H) (sqrt -98/5)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -98/5 H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(/ -5/98 H) |
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H) |
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H) |
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -49/5 (/ H (pow v 2))) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -98/5 H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -98/5 H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(/ -5/98 H) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64)))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
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(* (sqrt H) (sqrt -98/5)) |
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(* -98/5 H) |
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(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(- (pow v 2) (* 98/5 H)) |
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
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1 |
#s(literal 1 binary64) |
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#s(literal -1 binary64) |
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(/ H (pow v 2)) |
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1 |
#s(literal 1 binary64) |
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v |
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(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
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(pow v 2) |
(*.f64 v v) |
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1 |
#s(literal 1 binary64) |
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(pow v 2) |
(*.f64 v v) |
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#s(literal 1 binary64) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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1 |
#s(literal 1 binary64) |
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(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
1 |
#s(literal 1 binary64) |
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#s(literal -1 binary64) |
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(- (* -49/5 (/ H (pow v 2))) 1) |
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(- (* -49/5 (/ H (pow v 2))) 1) |
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(/ H (pow v 2)) |
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(/ H (pow v 2)) |
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(/ H (pow v 2)) |
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(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
1 |
#s(literal 1 binary64) |
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(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)) |
v |
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(pow v 2) |
(*.f64 v v) |
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(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
1 |
#s(literal 1 binary64) |
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v |
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(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) v))) H (/.f64 #s(literal -49/5 binary64) v)) H v) |
(pow v 2) |
(*.f64 v v) |
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(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
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(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
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(/ 1 (pow v 2)) |
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(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))) |
(fma.f64 (/.f64 #s(literal 98/5 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) H (/.f64 #s(literal 1 binary64) (*.f64 v v))) |
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
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(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 8 binary64))) #s(literal 941192/125 binary64) (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64)))) H (/.f64 #s(literal 98/5 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 1 binary64) (*.f64 v v))) |
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(pow v 2) |
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(* -98/5 H) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
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(* -49/5 (/ H (pow v 2))) |
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(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
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(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
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(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) |
(/ H (pow v 2)) |
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(/ H (pow v 2)) |
(/.f64 H (*.f64 v v)) |
(/ H (pow v 2)) |
(/.f64 H (*.f64 v v)) |
(/ H (pow v 2)) |
(/.f64 H (*.f64 v v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
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(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -25/19208 binary64) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 H #s(literal -5/98 binary64))) #s(literal 625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -125/1882384 binary64) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
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(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
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(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
| 6 646× | lower-fma.f32 |
| 6 642× | lower-fma.f64 |
| 4 212× | lower-*.f32 |
| 4 204× | lower-*.f64 |
| 2 568× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 237 |
| 0 | 59 | 222 |
| 1 | 170 | 221 |
| 2 | 811 | 221 |
| 0 | 8471 | 221 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
(/.f64 H (*.f64 v v)) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(*.f64 H #s(literal -98/5 binary64)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 #s(literal -98/5 binary64) H) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(*.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H))))) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (*.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) (/.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) v)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 v)) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) |
(*.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 (/.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (neg.f64 v) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (neg.f64 v))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (/.f64 #s(literal 1 binary64) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) |
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H))))) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H))))) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1/2 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 2401/25 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -117649/125 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -117649/125 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) (-.f64 (*.f64 #s(literal 2401/25 binary64) (/.f64 H (*.f64 v v))) #s(literal 49/5 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 2401/25 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 2401/25 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64)))) |
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(/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(neg.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H)))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v))) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v))) (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 v v) v)) v (*.f64 (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))) (*.f64 (*.f64 (*.f64 v v) v) v)))) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))))) |
(fma.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)) (*.f64 H #s(literal 98/5 binary64))) |
(fma.f64 (*.f64 (*.f64 v v) v) (/.f64 v (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(fma.f64 (*.f64 (*.f64 v v) v) (/.f64 (*.f64 (*.f64 v v) v) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (/.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))))) |
(fma.f64 (neg.f64 H) #s(literal -98/5 binary64) (*.f64 v v)) |
(fma.f64 (neg.f64 H) #s(literal 98/5 binary64) (*.f64 v v)) |
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 H #s(literal 98/5 binary64))) |
(fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(fma.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))))) |
(fma.f64 (*.f64 v v) #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (*.f64 v v) #s(literal 1 binary64) (*.f64 H #s(literal 98/5 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 v) v) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 v) v) (*.f64 H #s(literal 98/5 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)) |
(fma.f64 #s(literal -1 binary64) (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v)) |
(fma.f64 #s(literal -98/5 binary64) (neg.f64 H) (*.f64 v v)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(fma.f64 #s(literal 1 binary64) (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 #s(literal 1 binary64) (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v)) |
(fma.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64) (*.f64 v v)) |
(fma.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 1 binary64) (*.f64 v v)) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
(fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) |
(fma.f64 #s(literal 98/5 binary64) (/.f64 H #s(literal 1 binary64)) (*.f64 v v)) |
(fma.f64 #s(literal 98/5 binary64) (neg.f64 H) (*.f64 v v)) |
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) |
(fma.f64 v (/.f64 (*.f64 (*.f64 v v) v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(fma.f64 v (/.f64 v #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 v (/.f64 v #s(literal 1 binary64)) (*.f64 H #s(literal 98/5 binary64))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) |
(-.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 H #s(literal 98/5 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H) (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))) (/.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (/.f64 v (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 (*.f64 v v) v) (/.f64 v (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))) |
(-.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) |
(-.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))) |
(exp.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(+.f64 (-.f64 (*.f64 v v) #s(literal 0 binary64)) (*.f64 H #s(literal 98/5 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 v v) v) (/.f64 v (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))))) |
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) |
(+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))) |
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)) |
(+.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v)) |
(*.f64 (neg.f64 H) #s(literal 98/5 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 H #s(literal 98/5 binary64))) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64)) |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal 98/5 binary64) (neg.f64 H)) |
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))) |
(/.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (*.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))) |
(neg.f64 (*.f64 H #s(literal 98/5 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
Compiled 32 624 to 3 145 computations (90.4% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 207 | 7 | 1 214 |
| Fresh | 5 | 2 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 213 | 13 | 1 226 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 40.1% | (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) |
| ✓ | 71.1% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| 29.3% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))))) | |
| ✓ | 40.2% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
| ▶ | 36.0% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
| 39.9% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) | |
| ▶ | 40.2% | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)) |
| 32.3% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) | |
| ✓ | 36.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
| 20.7% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))) | |
| ▶ | 32.2% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 35.9% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ▶ | 40.2% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
Compiled 263 to 179 computations (31.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) | |
| cost-diff | 1408 | (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) | |
| cost-diff | 0 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v) | |
| cost-diff | 0 | (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) | |
| cost-diff | 0 | #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) | |
| cost-diff | 0 | (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) | |
| cost-diff | 0 | (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) | |
| cost-diff | 0 | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
| 824× | lower-fma.f32 |
| 822× | lower-fma.f64 |
| 688× | lower-*.f32 |
| 682× | lower-*.f64 |
| 424× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 344 |
| 0 | 59 | 340 |
| 1 | 81 | 332 |
| 2 | 103 | 332 |
| 3 | 164 | 332 |
| 4 | 207 | 332 |
| 5 | 313 | 332 |
| 6 | 426 | 332 |
| 7 | 517 | 332 |
| 8 | 880 | 332 |
| 9 | 2026 | 332 |
| 10 | 2747 | 332 |
| 11 | 2800 | 332 |
| 12 | 2823 | 332 |
| 13 | 2846 | 332 |
| 14 | 2856 | 332 |
| 15 | 2857 | 332 |
| 0 | 2857 | 311 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) |
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
#s(literal -5/98 binary64) |
H |
v |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) |
v |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) |
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) |
(/.f64 H v) |
H |
#s(literal -49/5 binary64) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
v |
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
(/.f64 #s(literal 1 binary64) v) |
v |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) |
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
#s(literal -5/98 binary64) |
H |
v |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
v |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)) |
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v) |
(/.f64 H v) |
H |
#s(literal -49/5 binary64) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
v |
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
(/.f64 #s(literal 1 binary64) v) |
v |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.125 | (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)) | |
| accuracy | 0.45703125 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 17.581610221940355 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| accuracy | 39.99481686057631 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| accuracy | 0.171875 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v) | |
| accuracy | 0.45703125 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 17.581610221940355 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| accuracy | 39.99481686057631 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| accuracy | 0 | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) | |
| accuracy | 0.078125 | (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) | |
| accuracy | 0.13671875 | (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) | |
| accuracy | 42.3921557663708 | #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) | |
| accuracy | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) | |
| accuracy | 42.179906911288526 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) | |
| accuracy | 0.109375 | (/.f64 #s(literal -5/98 binary64) H) | |
| accuracy | 0.171875 | (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) | |
| accuracy | 17.057368601657497 | (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) | |
| accuracy | 39.69953925730749 | #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) |
| 77.0ms | 250× | 0 | valid |
| 6.0ms | 6× | 5 | exit |
Compiled 280 to 34 computations (87.9% saved)
const: 15.0ms (24.1% of total)ival-mult: 14.0ms (22.5% of total)ival-div: 13.0ms (20.9% of total)ival-atan: 11.0ms (17.7% of total)ival-sqrt: 3.0ms (4.8% of total)ival-add: 2.0ms (3.2% of total)adjust: 1.0ms (1.6% of total)ival-sub: 1.0ms (1.6% 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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) #<representation binary64>) () ()) |
#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) (patch (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) #<representation binary64>) () ()) |
#s(alt (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) (patch (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) (patch #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) (patch (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v) (patch (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v) #<representation binary64>) () ()) |
#s(alt (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)) (patch (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ()) |
#s(alt (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) (patch (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -5/98 binary64) H) (patch (/.f64 #s(literal -5/98 binary64) H) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) (taylor -inf H) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) (patch (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) (patch (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) (patch (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) (patch (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (/ -5/98 H) (taylor -inf H) (#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) (taylor -inf H) (#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) (taylor -inf H) (#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) (taylor -inf H) (#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (/ -5/98 H) (taylor -inf H) (#s(alt (/.f64 #s(literal -5/98 binary64) H) (patch (/.f64 #s(literal -5/98 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (/ -5/98 H) (taylor -inf H) (#s(alt (/.f64 #s(literal -5/98 binary64) H) (patch (/.f64 #s(literal -5/98 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (/ -5/98 H) (taylor -inf H) (#s(alt (/.f64 #s(literal -5/98 binary64) H) (patch (/.f64 #s(literal -5/98 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (/ -5/98 H) (taylor -inf H) (#s(alt (/.f64 #s(literal -5/98 binary64) H) (patch (/.f64 #s(literal -5/98 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | v | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 1.0ms | H | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 1.0ms | H | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 1.0ms | v | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 1.0ms | H | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 1× | egg-herbie |
| 13 642× | lower-fma.f64 |
| 13 642× | lower-fma.f32 |
| 6 936× | lower-*.f64 |
| 6 936× | lower-*.f32 |
| 4 328× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 483 | 8942 |
| 1 | 1408 | 8636 |
| 2 | 4572 | 8564 |
| 0 | 8852 | 8009 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(* -49/5 (/ H v)) |
(/ (+ (* -49/5 H) (pow v 2)) v) |
(/ (+ (* -49/5 H) (pow v 2)) v) |
(/ (+ (* -49/5 H) (pow v 2)) v) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(/ -5/98 H) |
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
(- (pow v 2) (* 98/5 H)) |
(- (pow v 2) (* 98/5 H)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(/ 1 v) |
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(/ 1 v) |
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(/ 1 (pow v 2)) |
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(/ -1 v) |
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
v |
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1))) |
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1))) |
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(/ -1 v) |
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(/ 1 (pow v 2)) |
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(/ 1 v) |
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v)) |
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
v |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
v |
(+ v (* -49/5 (/ H v))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* -49/5 (/ H v))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(/ 1 v) |
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v)) |
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
v |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(/ 1 (pow v 2)) |
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))) |
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(pow v 2) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* (sqrt H) (sqrt -98/5)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -49/5 (/ H v)) |
(* H (- (/ v H) (* 49/5 (/ 1 v)))) |
(* H (- (/ v H) (* 49/5 (/ 1 v)))) |
(* H (- (/ v H) (* 49/5 (/ 1 v)))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
(* (sqrt H) (sqrt -98/5)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(/ -5/98 H) |
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H) |
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H) |
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(* -98/5 H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -49/5 (/ H v)) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(/ -5/98 H) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(* -98/5 H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
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(* (sqrt H) (sqrt -98/5)) |
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(* -49/5 (/ H v)) |
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(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)) |
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(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
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(/.f64 (fma.f64 (*.f64 v (/.f64 v H)) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H) |
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 v v) (*.f64 (*.f64 H H) H)) #s(literal -125/941192 binary64) (/.f64 #s(literal -25/9604 binary64) (*.f64 H H))) (*.f64 v v) (/.f64 #s(literal -5/98 binary64) H)) |
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 v (/.f64 v (pow.f64 H #s(literal 4 binary64)))) #s(literal -625/92236816 binary64) (/.f64 #s(literal -125/941192 binary64) (*.f64 (*.f64 H H) H))) (*.f64 v v) (/.f64 #s(literal -25/9604 binary64) (*.f64 H H))) (*.f64 v v) (/.f64 #s(literal -5/98 binary64) H)) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(- (pow v 2) (* 98/5 H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(- (pow v 2) (* 98/5 H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(- (pow v 2) (* 98/5 H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
1 |
#s(literal 1 binary64) |
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(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
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(/ 1 v) |
(/.f64 #s(literal 1 binary64) v) |
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v) |
(/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v) |
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(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -7203/25 binary64) (*.f64 H H)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
1 |
#s(literal 1 binary64) |
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(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -7203/25 binary64) (*.f64 H H)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (fma.f64 #s(literal -49/5 binary64) (*.f64 #s(literal -7203/25 binary64) (*.f64 H H)) (*.f64 #s(literal -941192/125 binary64) (*.f64 H H)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1 binary64))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) v) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) v) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 H H) (/.f64 H (pow.f64 v #s(literal 6 binary64)))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)))) v) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) v) |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) v) |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) v) |
1 |
#s(literal 1 binary64) |
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(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(/ 1 v) |
(/.f64 #s(literal 1 binary64) v) |
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v |
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1 |
#s(literal 1 binary64) |
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(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(/ 1 (pow v 2)) |
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(pow v 2) |
(*.f64 v v) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
-1 |
#s(literal -1 binary64) |
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(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) |
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(/ -1 v) |
(/.f64 #s(literal -1 binary64) v) |
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(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
-1 |
#s(literal -1 binary64) |
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(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
-1 |
#s(literal -1 binary64) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
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(* -1 v) |
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v |
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(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) v) |
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-1 |
#s(literal -1 binary64) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(/ 1 (pow v 2)) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
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1 |
#s(literal 1 binary64) |
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(/ 1 v) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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1 |
#s(literal 1 binary64) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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1 |
#s(literal 1 binary64) |
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v |
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v |
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(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v) |
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(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v) |
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(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v) |
1 |
#s(literal 1 binary64) |
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(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
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(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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v |
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(fma.f64 (fma.f64 (/.f64 H (*.f64 (*.f64 v v) v)) #s(literal -2401/50 binary64) (/.f64 #s(literal -49/5 binary64) v)) H v) |
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(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) v))) H (/.f64 #s(literal -49/5 binary64) v)) H v) |
1 |
#s(literal 1 binary64) |
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(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
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(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(/ 1 (pow v 2)) |
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(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))) |
(fma.f64 (/.f64 #s(literal 98/5 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) H (/.f64 #s(literal 1 binary64) (*.f64 v v))) |
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
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(* -49/5 (/ H v)) |
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(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 H #s(literal 5/98 binary64))) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal 5/98 binary64))))) (*.f64 (*.f64 (neg.f64 H) H) H)))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 H))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) #s(literal -25/19208 binary64)) (*.f64 (*.f64 v v) v))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 H #s(literal 5/98 binary64))) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (*.f64 (*.f64 (neg.f64 H) H) H)))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(/.f64 (fma.f64 (*.f64 v (/.f64 v H)) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -25/9604 binary64) v) v (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -25/9604 binary64) v) v (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) (neg.f64 H))) H) #s(literal -5/98 binary64)) H) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
| 7 318× | lower-fma.f32 |
| 7 316× | lower-fma.f64 |
| 4 622× | lower-*.f32 |
| 4 616× | lower-*.f64 |
| 2 898× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 283 |
| 0 | 59 | 279 |
| 1 | 172 | 270 |
| 2 | 931 | 270 |
| 0 | 9021 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) |
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)) |
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) |
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal -1 binary64)) (neg.f64 v)) |
(*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1 binary64)) v) |
(*.f64 (*.f64 v (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64))) (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) v)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 v) (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))))) |
(*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 v (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))))) |
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))) (/.f64 #s(literal -1 binary64) v)) |
(/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (neg.f64 v)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 v) (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))) (/.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) v)) |
(/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v)) |
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1/2 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) #s(literal -1 binary64)) (neg.f64 v)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) #s(literal 1 binary64)) v) |
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)) v) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) v) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 v) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))) |
(*.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))) |
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(*.f64 #s(literal -1 binary64) (*.f64 H #s(literal 98/5 binary64))) |
(*.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64)) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal 98/5 binary64) (neg.f64 H)) |
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))) |
(/.f64 (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))) |
(/.f64 (neg.f64 H) #s(literal 5/98 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -5/98 binary64) H))) |
(/.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64)) |
(/.f64 H #s(literal -5/98 binary64)) |
(neg.f64 (*.f64 H #s(literal 98/5 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
Compiled 19 437 to 1 918 computations (90.1% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 933 | 3 | 936 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 936 | 13 | 949 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 71.1% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| 29.3% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))))) | |
| ✓ | 40.2% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
| ✓ | 36.0% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
| ▶ | 39.9% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
| ▶ | 40.2% | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)) |
| ▶ | 32.3% | (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
| ✓ | 36.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
| ▶ | 20.7% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))) |
| ✓ | 32.2% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 35.9% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ✓ | 40.2% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
| ▶ | 40.2% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) |
Compiled 233 to 159 computations (31.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) | |
| cost-diff | 0 | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) | |
| cost-diff | 0 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v) | |
| cost-diff | 0 | #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))) | |
| cost-diff | 448 | (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) | |
| cost-diff | 0 | (/.f64 H (*.f64 v v)) | |
| cost-diff | 0 | (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) | |
| cost-diff | 0 | (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) | |
| cost-diff | 0 | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)) |
| 4 080× | lower-fma.f32 |
| 4 076× | lower-fma.f64 |
| 3 714× | lower-*.f32 |
| 3 702× | lower-*.f64 |
| 1 332× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 447 |
| 0 | 84 | 435 |
| 1 | 124 | 423 |
| 2 | 176 | 419 |
| 3 | 300 | 411 |
| 4 | 428 | 411 |
| 5 | 678 | 411 |
| 6 | 1602 | 411 |
| 7 | 3848 | 411 |
| 8 | 6676 | 411 |
| 0 | 8079 | 384 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) |
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) |
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)) |
(/.f64 #s(literal 1 binary64) H) |
#s(literal 1 binary64) |
H |
#s(literal -5/98 binary64) |
v |
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
v |
#s(literal 49/5 binary64) |
#s(literal 1 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))) |
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))) |
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) |
(fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) |
(neg.f64 v) |
v |
(*.f64 #s(literal -49/5 binary64) H) |
#s(literal -49/5 binary64) |
H |
(*.f64 v v) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) |
(/.f64 H #s(literal -5/98 binary64)) |
H |
#s(literal -5/98 binary64) |
v |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
v |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) |
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) |
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))) |
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) |
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)) |
(/.f64 #s(literal -5/98 binary64) H) |
(/.f64 #s(literal 1 binary64) H) |
#s(literal 1 binary64) |
H |
#s(literal -5/98 binary64) |
v |
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64)))) |
#s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64))) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64)) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
v |
#s(literal 49/5 binary64) |
#s(literal 1 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))) |
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))) |
#s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))) |
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) |
(neg.f64 v) |
v |
(*.f64 #s(literal -49/5 binary64) H) |
#s(literal -49/5 binary64) |
H |
(*.f64 v v) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) |
(/.f64 H #s(literal -5/98 binary64)) |
H |
#s(literal -5/98 binary64) |
v |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
v |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2501330693295596 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) | |
| accuracy | 0.45703125 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 17.581610221940355 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| accuracy | 39.99481686057631 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| accuracy | 0.12890625 | (/.f64 H #s(literal -5/98 binary64)) | |
| accuracy | 0.171875 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v) | |
| accuracy | 17.581610221940355 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))) | |
| accuracy | 39.99481686057631 | #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) | |
| accuracy | 0 | #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))) | |
| accuracy | 0.45703125 | (*.f64 #s(literal -49/5 binary64) H) | |
| accuracy | 20.42065207989481 | (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) | |
| accuracy | 40.240701099780175 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))) | |
| accuracy | 0 | (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.07421875 | (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) | |
| accuracy | 6.953595744080091 | (/.f64 H (*.f64 v v)) | |
| accuracy | 42.50424148098523 | #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.171875 | (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) | |
| accuracy | 0.2734375 | (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)) | |
| accuracy | 17.057368601657497 | (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) | |
| accuracy | 39.69953925730749 | #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))) |
| 101.0ms | 250× | 0 | valid |
| 10.0ms | 6× | 5 | exit |
Compiled 324 to 47 computations (85.5% saved)
ival-mult: 19.0ms (22.2% of total)ival-div: 18.0ms (21% of total)const: 14.0ms (16.4% of total)ival-atan: 10.0ms (11.7% of total)ival-sub: 9.0ms (10.5% of total)ival-sqrt: 4.0ms (4.7% of total)ival-add: 4.0ms (4.7% of total)ival-neg: 4.0ms (4.7% of total)adjust: 2.0ms (2.3% 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 #s(literal 1 binary64) H) #s(literal -5/98 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) #<representation binary64>) () ()) |
#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) (patch (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) #<representation binary64>) () ()) |
#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))) (patch #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v) (patch (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v) #<representation binary64>) () ()) |
#s(alt (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)) (patch (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) #<representation binary64>) () ()) |
#s(alt (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) (patch (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) (patch (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -49/5 binary64) H) (patch (*.f64 #s(literal -49/5 binary64) H) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 H #s(literal -5/98 binary64)) (patch (/.f64 H #s(literal -5/98 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) (taylor -inf H) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) (taylor -inf H) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -49/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -49/5 binary64) H) (patch (*.f64 #s(literal -49/5 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -49/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -49/5 binary64) H) (patch (*.f64 #s(literal -49/5 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -49/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -49/5 binary64) H) (patch (*.f64 #s(literal -49/5 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -49/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -49/5 binary64) H) (patch (*.f64 #s(literal -49/5 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (/.f64 H #s(literal -5/98 binary64)) (patch (/.f64 H #s(literal -5/98 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (/.f64 H #s(literal -5/98 binary64)) (patch (/.f64 H #s(literal -5/98 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (/.f64 H #s(literal -5/98 binary64)) (patch (/.f64 H #s(literal -5/98 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (/.f64 H #s(literal -5/98 binary64)) (patch (/.f64 H #s(literal -5/98 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ()) |
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | H | @ | 0 | ((* (/ 1 H) -5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (/ (+ (* (neg v) v) (* -49/5 H)) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (* -49/5 H) (- (* v v) (* (* 2 49/5) H)) (/ H -5/98) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 3.0ms | H | @ | -inf | ((* (/ 1 H) -5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (/ (+ (* (neg v) v) (* -49/5 H)) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (* -49/5 H) (- (* v v) (* (* 2 49/5) H)) (/ H -5/98) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 3.0ms | H | @ | inf | ((* (/ 1 H) -5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (/ (+ (* (neg v) v) (* -49/5 H)) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (* -49/5 H) (- (* v v) (* (* 2 49/5) H)) (/ H -5/98) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 2.0ms | v | @ | 0 | ((* (/ 1 H) -5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (/ (+ (* (neg v) v) (* -49/5 H)) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (* -49/5 H) (- (* v v) (* (* 2 49/5) H)) (/ H -5/98) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 2.0ms | v | @ | -inf | ((* (/ 1 H) -5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (/ (+ (* (neg v) v) (* -49/5 H)) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (* -49/5 H) (- (* v v) (* (* 2 49/5) H)) (/ H -5/98) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 1× | egg-herbie |
| 12 414× | lower-fma.f64 |
| 12 414× | lower-fma.f32 |
| 7 316× | lower-*.f64 |
| 7 316× | lower-*.f32 |
| 3 968× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 549 | 10326 |
| 1 | 1616 | 10008 |
| 2 | 5278 | 9968 |
| 0 | 8381 | 9321 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* 49/5 (/ H (pow v 2))) |
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) |
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) |
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(* -49/5 (/ H (pow v 2))) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* -49/5 (/ H (pow v 2))) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
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(/ -5/98 H) |
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(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
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(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
(- (pow v 2) (* 98/5 H)) |
(- (pow v 2) (* 98/5 H)) |
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
(- (pow v 2) (* 98/5 H)) |
(- (pow v 2) (* 98/5 H)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
1 |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
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1 |
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(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
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-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(/ 1 v) |
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* -49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(/ 1 (pow v 2)) |
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) |
(/ 1 v) |
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
-1 |
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(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
1 |
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(+ 1 (* 49/5 (/ H (pow v 2)))) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(/ -1 v) |
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
-1 |
(- (* 49/5 (/ H (pow v 2))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(/ 1 (pow v 2)) |
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) |
(/ -1 v) |
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
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-1 |
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(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
1 |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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1 |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
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(pow v 2) |
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(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
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(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))) |
(* (sqrt H) (sqrt -98/5)) |
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(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(/ -5/98 H) |
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H) |
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H) |
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
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(* -49/5 H) |
(* -49/5 H) |
(* -49/5 H) |
(* -49/5 H) |
(* -98/5 H) |
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(* -98/5 H) |
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(* H (- (/ (pow v 2) H) 98/5)) |
(* -98/5 H) |
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(* -98/5 H) |
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(/ -5/98 H) |
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(/ -5/98 H) |
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
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(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))) |
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(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))) |
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(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(/ -5/98 H) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(* -49/5 H) |
(* -49/5 H) |
(* -49/5 H) |
(* -49/5 H) |
(* -98/5 H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* 49/5 (/ H (pow v 2))) |
(*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) |
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) |
(/.f64 (fma.f64 #s(literal 49/5 binary64) H (*.f64 v v)) (*.f64 v v)) |
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) |
(/.f64 (fma.f64 #s(literal 49/5 binary64) H (*.f64 v v)) (*.f64 v v)) |
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) |
(/.f64 (fma.f64 #s(literal 49/5 binary64) H (*.f64 v v)) (*.f64 v v)) |
(/ H (pow v 2)) |
(/.f64 H (*.f64 v v)) |
(/ H (pow v 2)) |
(/.f64 H (*.f64 v v)) |
(/ H (pow v 2)) |
(/.f64 H (*.f64 v v)) |
(/ H (pow v 2)) |
(/.f64 H (*.f64 v v)) |
(* -49/5 (/ H (pow v 2))) |
(*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* -49/5 (/ H (pow v 2))) |
(*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
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#s(literal 1 binary64) |
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v |
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1 |
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v |
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(/ 1 (pow v 2)) |
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(neg.f64 v) |
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(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
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(/ 1 (pow v 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 v v)) |
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(/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)) |
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(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) |
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(/.f64 #s(literal -1 binary64) v) |
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(pow v 2) |
(*.f64 v v) |
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(pow v 2) |
(*.f64 v v) |
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(*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) |
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(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
1 |
#s(literal 1 binary64) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
1 |
#s(literal 1 binary64) |
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(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
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(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
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(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
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(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
(/ H (pow v 2)) |
(/.f64 H (*.f64 v v)) |
(/ H (pow v 2)) |
(/.f64 H (*.f64 v v)) |
(/ H (pow v 2)) |
(/.f64 H (*.f64 v v)) |
(/ H (pow v 2)) |
(/.f64 H (*.f64 v v)) |
-1 |
#s(literal -1 binary64) |
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(- (* -49/5 (/ H (pow v 2))) 1) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) H #s(literal -1 binary64)) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) H #s(literal -1 binary64)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
1 |
#s(literal 1 binary64) |
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-1 |
#s(literal -1 binary64) |
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(- (* -49/5 (/ H (pow v 2))) 1) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) H #s(literal -1 binary64)) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) H #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
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(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
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(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(/ 1 v) |
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v |
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(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) v))) H (/.f64 #s(literal -49/5 binary64) v)) H v) |
1 |
#s(literal 1 binary64) |
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(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
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(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
1 |
#s(literal 1 binary64) |
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(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) |
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(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal -49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)) |
v |
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(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) |
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(fma.f64 (fma.f64 (/.f64 H (*.f64 (*.f64 v v) v)) #s(literal -2401/50 binary64) (/.f64 #s(literal -49/5 binary64) v)) H v) |
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(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) v))) H (/.f64 #s(literal -49/5 binary64) v)) H v) |
(/ 1 (pow v 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 v v)) |
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(fma.f64 (/.f64 #s(literal 98/5 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) H (/.f64 #s(literal 1 binary64) (*.f64 v v))) |
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
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(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 8 binary64))) #s(literal 941192/125 binary64) (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64)))) H (/.f64 #s(literal 98/5 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/ 1 v) |
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(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
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(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (sqrt.f64 H)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H) |
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H) |
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -25/9604 binary64) v) v (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -125/941192 binary64))) H) #s(literal 5/98 binary64)) H) |
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H) |
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -625/92236816 binary64)) (*.f64 (*.f64 H H) H)) (fma.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)) #s(literal 125/941192 binary64) (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64)))) H) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 H #s(literal -5/98 binary64))) #s(literal 625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) |
(* -49/5 H) |
(*.f64 #s(literal -49/5 binary64) H) |
(* -49/5 H) |
(*.f64 #s(literal -49/5 binary64) H) |
(* -49/5 H) |
(*.f64 #s(literal -49/5 binary64) H) |
(* -49/5 H) |
(*.f64 #s(literal -49/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
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(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
| 12 088× | lower-fma.f32 |
| 12 084× | lower-fma.f64 |
| 3 844× | lower-*.f32 |
| 3 832× | lower-*.f64 |
| 3 638× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 410 |
| 0 | 84 | 398 |
| 1 | 265 | 381 |
| 2 | 1542 | 381 |
| 0 | 8522 | 358 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) |
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
(/.f64 H (*.f64 v v)) |
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))) |
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))) |
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) |
(*.f64 #s(literal -49/5 binary64) H) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) |
(/.f64 H #s(literal -5/98 binary64)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
| Outputs |
|---|
(*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal -1 binary64) H)) |
(*.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64)) |
(*.f64 #s(literal -5/98 binary64) (/.f64 #s(literal 1 binary64) H)) |
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H)) |
(pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1 binary64)) |
(/.f64 #s(literal 5/98 binary64) (neg.f64 H)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
(/.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64)) |
(/.f64 #s(literal -5/98 binary64) H) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))) |
(/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/125 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/125 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) (*.f64 #s(literal 49/5 binary64) H)) (*.f64 v v))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/125 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/125 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/125 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) (*.f64 #s(literal 49/5 binary64) H)) (*.f64 v v))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/125 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1 binary64)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/125 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) (*.f64 #s(literal 49/5 binary64) H)) (*.f64 v v)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/125 binary64) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) (*.f64 #s(literal 49/5 binary64) H)) (*.f64 v v))) (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/125 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (/.f64 H v) #s(literal -1 binary64)) (/.f64 #s(literal -49/5 binary64) v) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 H v) #s(literal 1 binary64)) (/.f64 #s(literal 49/5 binary64) v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) (/.f64 #s(literal -1 binary64) v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 49/5 binary64) v) H) (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 H) v) (/.f64 #s(literal -49/5 binary64) v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -49/5 binary64) H) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 H) #s(literal 49/5 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 49/5 binary64) (neg.f64 H)) (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 (neg.f64 H) v) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 (/.f64 H v) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 H v) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (*.f64 #s(literal 49/5 binary64) H)) (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 H v) (/.f64 #s(literal 49/5 binary64) v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 49/5 binary64) H) (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 (/.f64 H v) (neg.f64 v)) #s(literal 1 binary64)) |
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(*.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 H) #s(literal 98/5 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -5/98 binary64) H)))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
(*.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64)) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 #s(literal 98/5 binary64) (neg.f64 H)) |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))) |
(/.f64 (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))) |
(/.f64 (neg.f64 H) #s(literal 5/98 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -5/98 binary64) H))) |
(/.f64 #s(literal -98/5 binary64) (/.f64 #s(literal 1 binary64) H)) |
(/.f64 #s(literal 98/5 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) H))) |
(/.f64 H #s(literal -5/98 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -5/98 binary64) H)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H)) |
(neg.f64 (*.f64 #s(literal 98/5 binary64) H)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 H) #s(literal 98/5 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -5/98 binary64) H)))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
(*.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64)) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 #s(literal 98/5 binary64) (neg.f64 H)) |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))) |
(/.f64 (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))) |
(/.f64 (neg.f64 H) #s(literal 5/98 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -5/98 binary64) H))) |
(/.f64 #s(literal -98/5 binary64) (/.f64 #s(literal 1 binary64) H)) |
(/.f64 #s(literal 98/5 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) H))) |
(/.f64 H #s(literal -5/98 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -5/98 binary64) H)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H)) |
(neg.f64 (*.f64 #s(literal 98/5 binary64) H)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
Compiled 19 635 to 1 919 computations (90.2% saved)
13 alts after pruning (1 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 018 | 0 | 1 018 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 018 | 13 | 1 031 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 71.1% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| 29.3% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))))) | |
| ✓ | 40.2% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
| ✓ | 36.0% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
| ✓ | 39.9% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
| ✓ | 40.2% | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)) |
| ✓ | 32.3% | (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
| ✓ | 36.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
| ✓ | 20.7% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))) |
| ✓ | 32.2% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 35.9% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ✓ | 40.2% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
| ✓ | 40.2% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) |
Compiled 422 to 211 computations (50% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))))) |
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (/.f64 #s(literal 1 binary64) v))) |
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))) |
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
5 calls:
| 47.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 7.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 7.0ms | H |
| 7.0ms | v |
| 6.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | v |
| 75.4% | 3 | H |
| 84.5% | 3 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 84.5% | 3 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 75.4% | 3 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
Compiled 42 to 31 computations (26.2% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) |
1 calls:
| 13.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 3 | v |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
1 calls:
| 3.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 3 | v |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
1 calls:
| 3.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 3 | v |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
5 calls:
| 6.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 3.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 2.0ms | H |
| 2.0ms | v |
| 2.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.4% | 2 | H |
| 39.4% | 2 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 52.4% | 2 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 52.4% | 2 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 66.2% | 2 | v |
Compiled 42 to 31 computations (26.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
5 calls:
| 1.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 1.0ms | H |
| 1.0ms | v |
| 1.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 1.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.9% | 1 | H |
| 35.9% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 35.9% | 1 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 35.9% | 1 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 35.9% | 1 | v |
Compiled 42 to 31 computations (26.2% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 2.1588998056294294e+142 | 1.6253307644330094e+146 |
| 4.0ms | -6.858846628398234e+154 | -3.1655892572827703e+149 |
| 5.0ms | 64× | 0 | valid |
Compiled 94 to 72 computations (23.4% saved)
ival-mult: 1.0ms (25.9% of total)ival-atan: 1.0ms (25.9% of total)const: 1.0ms (25.9% of total)ival-div: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.2921515788058758e-23 | 2.6998292102615725e-19 |
| 45.0ms | -1.69198271101961e-62 | -4.50220602927373e-64 |
| 19.0ms | 240× | 0 | valid |
| 3.0ms | 41× | 0 | invalid |
Compiled 378 to 263 computations (30.4% saved)
ival-mult: 5.0ms (32.7% of total)const: 3.0ms (19.6% of total)ival-div: 2.0ms (13.1% of total)ival-atan: 2.0ms (13.1% of total)ival-sqrt: 2.0ms (13.1% of total)ival-sub: 1.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 1.2921515788058758e-23 | 2.6998292102615725e-19 |
| 1.0ms | -1.69198271101961e-62 | -4.50220602927373e-64 |
| 34.0ms | 80× | 0 | valid |
| 1.0ms | 13× | 0 | invalid |
Compiled 378 to 271 computations (28.3% saved)
ival-mult: 29.0ms (87.9% of total)ival-div: 1.0ms (3% of total)ival-atan: 1.0ms (3% of total)ival-sqrt: 1.0ms (3% of total)const: 1.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.2921515788058758e-23 | 2.6998292102615725e-19 |
| 1.0ms | -1.69198271101961e-62 | -4.50220602927373e-64 |
Compiled 393 to 271 computations (31% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | -1.965574424172646e-304 | 2.9326832375158956e-306 |
| 11.0ms | 144× | 0 | valid |
| 5.0ms | 75× | 0 | invalid |
Compiled 126 to 106 computations (15.9% saved)
ival-mult: 4.0ms (36.2% of total)const: 3.0ms (27.2% of total)ival-div: 1.0ms (9.1% of total)ival-atan: 1.0ms (9.1% of total)ival-sub: 1.0ms (9.1% of total)ival-sqrt: 1.0ms (9.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 288 |
| 1 | 79 | 288 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 v #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3588915588619273/1329227995784915872903807060280344576 binary64)) (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))))) |
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 5981525981032121/664613997892457936451903530140172288 binary64)) (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) |
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 5981525981032121/664613997892457936451903530140172288 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) |
(if (<=.f64 v #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| Outputs |
|---|
(if (<=.f64 v #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3588915588619273/1329227995784915872903807060280344576 binary64)) (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))))) |
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3588915588619273/1329227995784915872903807060280344576 binary64)) (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))))) |
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 5981525981032121/664613997892457936451903530140172288 binary64)) (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) |
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 5981525981032121/664613997892457936451903530140172288 binary64)) (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) |
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 5981525981032121/664613997892457936451903530140172288 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) |
(if (<=.f64 v #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| 13 360× | lower-fma.f64 |
| 13 360× | lower-fma.f32 |
| 10 028× | lower-fma.f64 |
| 10 028× | lower-fma.f32 |
| 7 948× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 0 | 19 | 40 |
| 1 | 50 | 40 |
| 2 | 275 | 40 |
| 3 | 2260 | 40 |
| 0 | 8978 | 36 |
| 0 | 323 | 1843 |
| 1 | 933 | 1797 |
| 2 | 3156 | 1774 |
| 3 | 7233 | 1741 |
| 0 | 8250 | 1626 |
| 0 | 480 | 8741 |
| 1 | 1397 | 8474 |
| 2 | 4525 | 8409 |
| 0 | 8743 | 7855 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 293 to 163 computations (44.4% saved)
Compiled 326 to 128 computations (60.7% saved)
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