
Time bar (total: 5.0s)
| 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)
| 891.0ms | 8 256× | 0 | valid |
| 9.0ms | 114× | 0 | invalid |
ival-mult: 203.0ms (30.7% of total)ival-atan: 127.0ms (19.2% of total)const: 118.0ms (17.9% of total)ival-sqrt: 81.0ms (12.3% of total)ival-div: 76.0ms (11.5% of total)ival-sub: 38.0ms (5.8% of total)ival-true: 6.0ms (0.9% of total)exact: 5.0ms (0.8% of total)adjust: 3.0ms (0.5% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 83 | 0 | - | 0 | - | (sqrt.f64 (-.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 | - | (-.f64 (*.f64 v v) (*.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 | 83 | 0 |
| ↳ | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | overflow | 83 | |
| ↳ | (*.f64 v v) | overflow | 83 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 83 | 1 |
| - | 0 | 172 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 83 | 0 | 1 |
| - | 0 | 0 | 172 |
| number | freq |
|---|---|
| 0 | 173 |
| 1 | 83 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 115.0ms | 498× | 0 | valid |
| 8.0ms | 14× | 5 | exit |
Compiled 135 to 37 computations (72.6% saved)
const: 19.0ms (39.6% of total)ival-mult: 11.0ms (22.9% of total)ival-atan: 5.0ms (10.4% of total)ival-div: 4.0ms (8.3% of total)ival-sqrt: 4.0ms (8.3% of total)ival-sub: 3.0ms (6.3% of total)adjust: 2.0ms (4.2% 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 61 |
| 1 | 58 | 59 |
| 2 | 105 | 59 |
| 3 | 182 | 59 |
| 4 | 250 | 59 |
| 5 | 263 | 59 |
| 6 | 271 | 59 |
| 7 | 275 | 59 |
| 0 | 11 | 11 |
| 0 | 19 | 11 |
| 1 | 30 | 11 |
| 2 | 51 | 11 |
| 3 | 89 | 11 |
| 4 | 125 | 11 |
| 5 | 131 | 11 |
| 6 | 135 | 11 |
| 7 | 139 | 11 |
| 0 | 139 | 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 13 to 11 computations (15.4% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.1% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
Compiled 13 to 11 computations (15.4% 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 | 1 | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | |
| cost-diff | 2 | (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 0 | 19 | 47 |
| 1 | 30 | 47 |
| 2 | 51 | 47 |
| 3 | 89 | 47 |
| 4 | 125 | 47 |
| 5 | 131 | 47 |
| 6 | 135 | 47 |
| 7 | 139 | 47 |
| 0 | 139 | 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 | 0.01171875 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) | |
| accuracy | 0.0625 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) | |
| accuracy | 0.54296875 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) | |
| accuracy | 19.31731911603427 | (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
| 26.0ms | 249× | 0 | valid |
| 4.0ms | 7× | 5 | exit |
Compiled 61 to 13 computations (78.7% saved)
const: 5.0ms (26.2% of total)ival-mult: 5.0ms (26.2% of total)ival-atan: 3.0ms (15.7% of total)ival-div: 2.0ms (10.5% of total)ival-sqrt: 2.0ms (10.5% of total)adjust: 1.0ms (5.2% of total)ival-sub: 1.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 |
|---|
(* -98/5 H) |
(- (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))))) |
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))))))) |
-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)))))))) |
(+ (* -98/5 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 (* -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) |
(* H (- (/ (pow v 2) H) 98/5)) |
(+ (* -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)))))) |
(* 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)))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(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)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 1372 |
| 1 | 1029 | 1326 |
| 2 | 4424 | 1276 |
| 0 | 8647 | 1197 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -98/5 H) |
(- (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))))) |
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))))))) |
-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)))))))) |
(+ (* -98/5 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 (* -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) |
(* H (- (/ (pow v 2) H) 98/5)) |
(+ (* -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)))))) |
(* 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)))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(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)))))))) |
| Outputs |
|---|
(* -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)) |
(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) (pow.f64 H #s(literal 3 binary64))))) #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 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) v) v) (sqrt.f64 H)) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64))) (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) |
(* 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)) (/.f64 (fma.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (*.f64 v v) (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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) |
(* (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 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 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 #s(literal 5/784 binary64) (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (*.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 (*.f64 (*.f64 v (/.f64 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))))) #s(literal 1/16 binary64) (*.f64 #s(literal 5/784 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (*.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))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) 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 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64)))) #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 #s(literal -1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(*.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #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 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #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 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) v) |
-1 |
#s(literal -1 binary64) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(-.f64 (*.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 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1/2 binary64) (-.f64 (*.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 (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))) |
(* -1 v) |
(neg.f64 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)) v) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(* -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 (neg.f64 v) (fma.f64 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) #s(literal 7203/50 binary64) (/.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) (pow.f64 v #s(literal 4 binary64)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)) |
(+ v (* -49/5 (/ H v))) |
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2401/50 binary64) v) (/.f64 H v) #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) (pow.f64 v #s(literal 3 binary64)))) H (/.f64 #s(literal -49/5 binary64) v)) H v) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.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)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal -125/1882384 binary64) (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64))) (sqrt.f64 #s(literal -5/98 binary64)))) |
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal -1/2 binary64)) v) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) 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))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal -125/1882384 binary64) (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64))) (sqrt.f64 #s(literal -5/98 binary64))))) |
(* 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) (pow.f64 H #s(literal 3 binary64))))) #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 (pow.f64 v #s(literal 4 binary64)) (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) (pow.f64 H #s(literal 3 binary64))))) #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 (pow.f64 v #s(literal 4 binary64)) (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) (pow.f64 H #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 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)) |
(* (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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.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 (*.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 (*.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -125/1882384 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -25/19208 binary64))) (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) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64)) (pow.f64 v #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (*.f64 (*.f64 v (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) 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 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 H)) (pow.f64 v #s(literal 5 binary64))) #s(literal 125/1882384 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (pow.f64 (neg.f64 H) #s(literal 3 binary64))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(* -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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) 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 (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) (pow.f64 H #s(literal 3 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 (pow.f64 v #s(literal 4 binary64)) (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 1/16 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 #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) (pow.f64 H #s(literal 3 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 (pow.f64 v #s(literal 4 binary64)) (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)))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 0 | 19 | 40 |
| 1 | 48 | 40 |
| 2 | 268 | 40 |
| 3 | 2803 | 40 |
| 0 | 8950 | 33 |
| 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 (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(literal 2 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 941192/125 binary64) (pow.f64 (*.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) #s(literal 3 binary64)) (pow.f64 v #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 8 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))))) |
(*.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) #s(literal 2 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(literal 3 binary64))) (*.f64 (pow.f64 H #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -9604/25 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (neg.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (*.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (*.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (neg.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(literal 2 binary64))) |
(/.f64 (exp.f64 (log.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(literal 2 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) |
(/.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) #s(literal 2 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) |
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(/.f64 (hypot.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 H #s(literal 98/5 binary64)) v) v))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -98/5 binary64)) H))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))))) |
(neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) |
(fabs.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)) |
(hypot.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -98/5 binary64) H))) v) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v) |
(hypot.f64 (sqrt.f64 (*.f64 H #s(literal 98/5 binary64))) v) |
(hypot.f64 v (sqrt.f64 (neg.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
(hypot.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) |
(hypot.f64 v (sqrt.f64 (*.f64 H #s(literal 98/5 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) |
(+.f64 (cosh.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sinh.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))) |
(*.f64 (fabs.f64 (fabs.f64 H)) #s(literal 98/5 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -98/5 binary64))) (sqrt.f64 H)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -98/5 binary64) H) H)) (sqrt.f64 #s(literal -98/5 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -98/5 binary64) H))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (*.f64 H (*.f64 #s(literal -98/5 binary64) H)))) |
(*.f64 (sqrt.f64 (*.f64 H #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 H #s(literal 98/5 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 9604/25 binary64) H)) (sqrt.f64 H)) |
(*.f64 (sqrt.f64 H) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) (*.f64 #s(literal -98/5 binary64) H)))) |
(*.f64 (sqrt.f64 H) (sqrt.f64 (*.f64 #s(literal 9604/25 binary64) H))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) |
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 98/5 binary64))) (exp.f64 (log.f64 H))) |
(*.f64 (exp.f64 (log.f64 H)) (exp.f64 (log.f64 #s(literal 98/5 binary64)))) |
(*.f64 (pow.f64 H #s(literal 1 binary64)) #s(literal 98/5 binary64)) |
(*.f64 (fabs.f64 H) #s(literal 98/5 binary64)) |
(*.f64 H #s(literal 98/5 binary64)) |
(*.f64 #s(literal 98/5 binary64) (fabs.f64 (fabs.f64 H))) |
(*.f64 #s(literal 98/5 binary64) (pow.f64 H #s(literal 1 binary64))) |
(*.f64 #s(literal 98/5 binary64) (fabs.f64 H)) |
(*.f64 #s(literal 98/5 binary64) H) |
(pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal -98/5 binary64) H))) |
(fabs.f64 (*.f64 #s(literal -98/5 binary64) H)) |
(fabs.f64 (*.f64 H #s(literal 98/5 binary64))) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64))) #s(literal 2 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)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 H #s(literal 98/5 binary64)))) (sinh.f64 (log.f64 (*.f64 H #s(literal 98/5 binary64))))) |
Compiled 12 647 to 1 986 computations (84.3% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 365 | 14 | 379 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 366 | 14 | 380 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.2% | (atan.f64 (/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))) |
| 26.8% | (atan.f64 (/.f64 v (/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -98/5 binary64)) H))))))) | |
| ▶ | 53.3% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) |
| ▶ | 68.1% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| 49.7% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))))) | |
| 49.0% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) | |
| 40.0% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) | |
| 36.4% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) | |
| 48.6% | (atan.f64 (*.f64 (/.f64 v (hypot.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))) (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) | |
| 32.6% | (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)))) | |
| ▶ | 37.3% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) |
| 32.5% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) | |
| ▶ | 37.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| 68.0% | #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))) |
Compiled 564 to 416 computations (26.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) | |
| cost-diff | 0 | (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 | 1 | (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) | |
| cost-diff | 0 | (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) | |
| cost-diff | 0 | (-.f64 (*.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)))) (-.f64 (*.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)))) (-.f64 (*.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 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) | |
| cost-diff | 0 | (atan.f64 (/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))) | |
| cost-diff | 9 | (/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 278 |
| 0 | 70 | 285 |
| 1 | 109 | 249 |
| 2 | 206 | 249 |
| 3 | 374 | 249 |
| 4 | 576 | 249 |
| 5 | 736 | 249 |
| 6 | 784 | 249 |
| 7 | 788 | 249 |
| 0 | 788 | 249 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(atan.f64 (/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))) |
(/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) |
(/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) |
v |
(sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v) |
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 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)) |
#s(literal -1 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.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)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)) |
(*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) |
#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 (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 |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)))) |
v |
(sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)) |
(sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) |
(*.f64 (*.f64 H H) #s(literal 98/5 binary64)) |
(*.f64 H H) |
H |
#s(literal 98/5 binary64) |
(sqrt.f64 #s(literal 98/5 binary64)) |
(*.f64 v v) |
| Outputs |
|---|
(atan.f64 (/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))) |
(atan.f64 (/.f64 v (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
(/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) |
(/.f64 v (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)) |
(/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) |
(/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
v |
(sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)) |
(sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)) |
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v) |
(hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) |
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) |
(sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 H #s(literal -98/5 binary64)) |
#s(literal -98/5 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)) |
#s(literal -1 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.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)))) (-.f64 (*.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)))) (-.f64 (*.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)))) (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) |
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 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 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 (/.f64 v (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 v (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)) |
v |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 H #s(literal -98/5 binary64)) |
#s(literal -98/5 binary64) |
H |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)))) |
(/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (*.f64 v v)))) |
v |
(sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))) |
(sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (*.f64 v v))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)) |
(fma.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (*.f64 v v)) |
(sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) |
(*.f64 (*.f64 H H) #s(literal 98/5 binary64)) |
(*.f64 H H) |
H |
#s(literal 98/5 binary64) |
(sqrt.f64 #s(literal 98/5 binary64)) |
(*.f64 v v) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)) | |
| accuracy | 0.1983646863809557 | (*.f64 (*.f64 H H) #s(literal 98/5 binary64)) | |
| accuracy | 10.229172475773957 | (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))) | |
| accuracy | 21.92249929348611 | (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) | |
| accuracy | 0.00390625 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) | |
| accuracy | 0.05859375 | (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) | |
| accuracy | 0.375 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 10.229172475773957 | (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) | |
| accuracy | 0.00390625 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) | |
| accuracy | 0.12337875976844201 | (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) | |
| accuracy | 5.790330422103701 | (/.f64 H (*.f64 v v)) | |
| accuracy | 30.379709118885746 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) | |
| accuracy | 30.099453129291327 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) | |
| accuracy | 0.05859375 | (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) | |
| accuracy | 0.109375 | (/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) | |
| accuracy | 0.26953125 | (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) | |
| accuracy | 0.375 | (*.f64 #s(literal -98/5 binary64) H) |
| 91.0ms | 172× | 0 | valid |
| 28.0ms | 80× | 0 | invalid |
| 6.0ms | 4× | 5 | exit |
Compiled 328 to 41 computations (87.5% saved)
ival-mult: 39.0ms (36.9% of total)const: 24.0ms (22.7% of total)ival-sqrt: 11.0ms (10.4% of total)ival-div: 11.0ms (10.4% of total)ival-atan: 9.0ms (8.5% of total)ival-hypot: 4.0ms (3.8% of total)adjust: 2.0ms (1.9% of total)ival-sub: 2.0ms (1.9% of total)ival-add: 2.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) |
(atan.f64 (/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))) |
(/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) |
(sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 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)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.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)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)) |
(*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(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)))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)))) |
(sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)) |
(*.f64 #s(literal -98/5 binary64) H) |
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) |
(/.f64 H (*.f64 v v)) |
(sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) |
(*.f64 (*.f64 H H) #s(literal 98/5 binary64)) |
| Outputs |
|---|
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt -98/5) 7)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt -98/5) 5)))))))))) |
(atan (* v (sqrt (/ 1 (+ (* H (pow (sqrt -98/5) 2)) (pow v 2)))))) |
(* (pow (/ 1 H) 1/4) (* v (sqrt (/ 1 (sqrt -98/5))))) |
(* v (+ (* -1/4 (* (pow (/ 1 (pow H 5)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 5)))))) (* (pow (/ 1 H) 1/4) (sqrt (/ 1 (sqrt -98/5)))))) |
(* v (+ (* (pow v 2) (+ (* -1/4 (* (pow (/ 1 (pow H 5)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 5))))) (* 5/32 (* (pow (/ 1 (pow H 9)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 9)))))))) (* (pow (/ 1 H) 1/4) (sqrt (/ 1 (sqrt -98/5)))))) |
(* v (+ (* (pow v 2) (+ (* -1/4 (* (pow (/ 1 (pow H 5)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 5))))) (* (pow v 2) (+ (* -15/128 (* (pow (/ 1 (pow H 13)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 13)))))) (* 5/32 (* (pow (/ 1 (pow H 9)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 9))))))))) (* (pow (/ 1 H) 1/4) (sqrt (/ 1 (sqrt -98/5)))))) |
(* (pow (* 1 H) 1/4) (sqrt (sqrt -98/5))) |
(+ (* 1/4 (* (pow (/ 1 (pow H 3)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 3)))))) (* (pow (* 1 H) 1/4) (sqrt (sqrt -98/5)))) |
(+ (* (pow v 2) (+ (* -3/32 (* (pow (/ 1 (pow H 7)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 7)))))) (* 1/4 (* (pow (/ 1 (pow H 3)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 3))))))) (* (pow (* 1 H) 1/4) (sqrt (sqrt -98/5)))) |
(+ (* (pow v 2) (+ (* 1/4 (* (pow (/ 1 (pow H 3)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 3))))) (* (pow v 2) (+ (* -3/32 (* (pow (/ 1 (pow H 7)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 7))))) (* 7/128 (* (pow (/ 1 (pow H 11)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 11)))))))))) (* (pow (* 1 H) 1/4) (sqrt (sqrt -98/5)))) |
(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)) |
(* (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))))))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(atan (* v (sqrt (/ 1 (+ (* H (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (/ v (sqrt 98/5))) |
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ 1 (sqrt 98/5))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt 98/5) 5)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt 98/5) 7)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt 98/5) 5)))))))))) |
(* (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))))))))) |
(* H (pow (sqrt 98/5) 2)) |
(+ (* H (pow (sqrt 98/5) 2)) (pow v 2)) |
(/ H (pow v 2)) |
1 |
(+ 1 (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))) (* -1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt -98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* (pow H 3) (pow (sqrt -98/5) 6))) (pow v 6)))))) |
(sqrt v) |
(* v (+ (sqrt (/ 1 v)) (* -1/4 (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 5))))))) |
(* v (+ (sqrt (/ 1 v)) (+ (* -1/4 (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 5))))) (* (sqrt (/ 1 (pow v 9))) (+ (* 1/96 (+ (* -12 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 24 (* (pow H 2) (pow (sqrt -98/5) 4))))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4)))))))) |
(* v (+ (sqrt (/ 1 v)) (+ (* -1/4 (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 5))))) (+ (* (sqrt (/ 1 (pow v 9))) (+ (* 1/96 (+ (* -12 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 24 (* (pow H 2) (pow (sqrt -98/5) 4))))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4))))) (* (sqrt (/ 1 (pow v 13))) (+ (* -1/384 (* H (* (pow (sqrt -98/5) 2) (+ (* -12 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 24 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (+ (* -1/384 (* (pow H 3) (pow (sqrt -98/5) 6))) (* 1/2880 (+ (* -720 (* (pow H 3) (pow (sqrt -98/5) 6))) (+ (* -240 (* (pow H 3) (pow (sqrt -98/5) 6))) (* 720 (* (pow H 3) (pow (sqrt -98/5) 6))))))))))))) |
(+ (sqrt v) (* 1/4 (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 3)))))) |
(+ (sqrt v) (+ (* 1/4 (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 3))))) (* (sqrt (/ 1 (pow v 7))) (+ (* -1/8 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4))))))) |
(+ (sqrt v) (+ (* 1/4 (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 3))))) (+ (* (sqrt (/ 1 (pow v 7))) (+ (* -1/8 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4))))) (* (sqrt (/ 1 (pow v 11))) (+ (* -1/32 (* (pow H 3) (pow (sqrt -98/5) 6))) (+ (* 1/384 (* (pow H 3) (pow (sqrt -98/5) 6))) (* 1/12 (* (pow H 3) (pow (sqrt -98/5) 6))))))))) |
(+ 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) |
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))))) |
(+ 1 (* -1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))) (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt 98/5) 4)))) (pow v 4))))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt 98/5) 4)))) (pow v 4))) (* -1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt 98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt 98/5) 4))))))) (* (pow H 3) (pow (sqrt 98/5) 6))) (pow v 6)))))) |
(* v (+ 1 (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))))) |
(* v (+ 1 (+ (* -1/8 (/ (* (pow H 2) (pow (sqrt 98/5) 4)) (pow v 4))) (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* v (+ 1 (+ (* -1/8 (/ (* (pow H 2) (pow (sqrt 98/5) 4)) (pow v 4))) (+ (* 1/16 (/ (* (pow H 3) (pow (sqrt 98/5) 6)) (pow v 6))) (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))))))) |
(* (pow v 2) (+ 1 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2)))) |
(- (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4)))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))) (* 1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt -98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* (pow H 3) (pow (sqrt -98/5) 6))) (pow v 6))))) 1) |
(* (sqrt v) (sqrt -1)) |
(* -1 (* v (+ (* -1 (* (sqrt (/ 1 v)) (sqrt -1))) (* 1/4 (* (* H (* (pow (sqrt -98/5) 2) (sqrt -1))) (sqrt (/ 1 (pow v 5)))))))) |
(* -1 (* v (+ (* -1 (* (sqrt (/ 1 v)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (pow v 9))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 24 (* (pow H 2) (pow (sqrt -98/5) 4))))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* 1/4 (* (* H (* (pow (sqrt -98/5) 2) (sqrt -1))) (sqrt (/ 1 (pow v 5))))))))) |
(* -1 (* v (+ (* -1 (* (sqrt (/ 1 v)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (pow v 9))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 24 (* (pow H 2) (pow (sqrt -98/5) 4))))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (+ (* -1 (* (sqrt (/ 1 (pow v 13))) (* (sqrt -1) (+ (* -1/384 (* H (* (pow (sqrt -98/5) 2) (+ (* -12 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 24 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (+ (* -1/384 (* (pow H 3) (pow (sqrt -98/5) 6))) (* 1/2880 (+ (* -720 (* (pow H 3) (pow (sqrt -98/5) 6))) (+ (* -240 (* (pow H 3) (pow (sqrt -98/5) 6))) (* 720 (* (pow H 3) (pow (sqrt -98/5) 6))))))))))) (* 1/4 (* (* H (* (pow (sqrt -98/5) 2) (sqrt -1))) (sqrt (/ 1 (pow v 5)))))))))) |
(+ (* 1/4 (* (* H (* (pow (sqrt -98/5) 2) (sqrt -1))) (sqrt (/ 1 (pow v 3))))) (* (sqrt v) (sqrt -1))) |
(+ (* 1/4 (* (* H (* (pow (sqrt -98/5) 2) (sqrt -1))) (sqrt (/ 1 (pow v 3))))) (+ (* (sqrt v) (sqrt -1)) (* (sqrt (/ 1 (pow v 7))) (* (sqrt -1) (+ (* -1/8 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4)))))))) |
(+ (* 1/4 (* (* H (* (pow (sqrt -98/5) 2) (sqrt -1))) (sqrt (/ 1 (pow v 3))))) (+ (* (sqrt v) (sqrt -1)) (+ (* (sqrt (/ 1 (pow v 7))) (* (sqrt -1) (+ (* -1/8 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4)))))) (* (sqrt (/ 1 (pow v 11))) (* (sqrt -1) (+ (* -1/32 (* (pow H 3) (pow (sqrt -98/5) 6))) (+ (* 1/384 (* (pow H 3) (pow (sqrt -98/5) 6))) (* 1/12 (* (pow H 3) (pow (sqrt -98/5) 6)))))))))) |
(- (+ (* -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)))))))) |
(- (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))) (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt 98/5) 4)))) (pow v 4)))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt 98/5) 4)))) (pow v 4))) (* 1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt 98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt 98/5) 4))))))) (* (pow H 3) (pow (sqrt 98/5) 6))) (pow v 6))))) 1) |
(* -1 (* v (+ 1 (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -1/8 (/ (* (pow H 2) (pow (sqrt 98/5) 4)) (pow v 4))) (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -1/8 (/ (* (pow H 2) (pow (sqrt 98/5) 4)) (pow v 4))) (+ (* 1/16 (/ (* (pow H 3) (pow (sqrt 98/5) 6)) (pow v 6))) (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2)))))))) |
(+ 1 (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))))) (* -1/2 (/ (pow (sqrt -98/5) 2) (pow v 2)))))) |
(+ 1 (* H (+ (* -1/2 (/ (pow (sqrt -98/5) 2) (pow v 2))) (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* 1/2 (/ (* (pow (sqrt -98/5) 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))) (pow v 2))) (/ (pow (sqrt -98/5) 6) (pow v 8)))))) (* -1/2 (* (pow v 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))))))))) |
(* (pow 1 1/4) (sqrt v)) |
(+ (* -1/4 (* (pow 1 1/4) (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 3)))))) (* (pow 1 1/4) (sqrt v))) |
(+ (* H (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow v 3))) (pow (sqrt -98/5) 2)))) (* (pow 1 1/4) (* (* H (+ (* 1/32 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 1/8 (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 2 (/ (pow (sqrt -98/5) 4) (pow v 4))))))) (sqrt v))))) (* (pow 1 1/4) (sqrt v))) |
(+ (* H (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow v 3))) (pow (sqrt -98/5) 2)))) (* H (+ (* (pow 1 1/4) (* (sqrt v) (+ (* 1/32 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 1/8 (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 2 (/ (pow (sqrt -98/5) 4) (pow v 4)))))))) (* (pow 1 1/4) (* (* H (+ (* -1/32 (/ (* (pow (sqrt -98/5) 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 2 (/ (pow (sqrt -98/5) 4) (pow v 4))))) (pow v 2))) (+ (* -1/384 (/ (pow (sqrt -98/5) 6) (pow v 6))) (* 1/24 (+ (* -6 (/ (pow (sqrt -98/5) 6) (pow v 6))) (+ (* -2 (/ (pow (sqrt -98/5) 6) (pow v 6))) (* 6 (/ (pow (sqrt -98/5) 6) (pow v 6))))))))) (sqrt v))))))) (* (pow 1 1/4) (sqrt v))) |
(+ (* 1/4 (* (pow 1 1/4) (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 3)))))) (* (pow 1 1/4) (sqrt v))) |
(+ (* H (+ (* 1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow v 3))) (pow (sqrt -98/5) 2)))) (* (pow 1 1/4) (* (* H (+ (* -1/8 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 1/32 (/ (pow (sqrt -98/5) 4) (pow v 4))))) (sqrt v))))) (* (pow 1 1/4) (sqrt v))) |
(+ (* H (+ (* 1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow v 3))) (pow (sqrt -98/5) 2)))) (* H (+ (* (pow 1 1/4) (* (sqrt v) (+ (* -1/8 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 1/32 (/ (pow (sqrt -98/5) 4) (pow v 4)))))) (* (pow 1 1/4) (* (* H (+ (* -1/32 (/ (pow (sqrt -98/5) 6) (pow v 6))) (+ (* 1/384 (/ (pow (sqrt -98/5) 6) (pow v 6))) (* 1/12 (/ (pow (sqrt -98/5) 6) (pow v 6)))))) (sqrt v))))))) (* (pow 1 1/4) (sqrt v))) |
(+ 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 (* -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 (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* -1 (/ (pow (sqrt 98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt 98/5) 4) (pow v 6))))))) (* -1/2 (/ (pow (sqrt 98/5) 2) (pow v 2)))))) |
(+ 1 (* H (+ (* -1/2 (/ (pow (sqrt 98/5) 2) (pow v 2))) (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* 1/2 (/ (* (pow (sqrt 98/5) 2) (+ (* -1 (/ (pow (sqrt 98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt 98/5) 4) (pow v 6))))) (pow v 2))) (/ (pow (sqrt 98/5) 6) (pow v 8)))))) (* -1/2 (* (pow v 2) (+ (* -1 (/ (pow (sqrt 98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt 98/5) 4) (pow v 6))))))))))) |
(+ v (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) v))) |
(+ v (* H (+ (* -1/8 (/ (* H (pow (sqrt 98/5) 4)) (pow v 3))) (* 1/2 (/ (pow (sqrt 98/5) 2) v))))) |
(+ v (* H (+ (* 1/2 (/ (pow (sqrt 98/5) 2) v)) (* H (+ (* -1/8 (/ (pow (sqrt 98/5) 4) (pow v 3))) (* 1/16 (/ (* H (pow (sqrt 98/5) 6)) (pow v 5)))))))) |
(* H (sqrt 98/5)) |
(* 98/5 (pow H 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (* v (* (sqrt -98/5) (+ (* 1/4 (/ (* H (pow v 4)) (pow (sqrt -98/5) 6))) (/ (pow v 6) (pow (sqrt -98/5) 8))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))))) |
(* v (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2))))))) |
(+ (* -1/4 (/ (* (pow v 3) (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2))))))) (* H (pow (sqrt -98/5) 2)))) (* v (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2)))))))) |
(+ (* -1/4 (/ (* (pow v 3) (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2))))))) (* H (pow (sqrt -98/5) 2)))) (+ (* v (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2))))))) (/ (* v (* (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2)))))) (+ (* 1/32 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 1/8 (+ (* -1 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 2 (/ (pow v 4) (pow (sqrt -98/5) 4)))))))) (pow H 2)))) |
(+ (* -1/4 (/ (* (pow v 3) (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2))))))) (* H (pow (sqrt -98/5) 2)))) (+ (* v (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2))))))) (+ (/ (* v (* (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2)))))) (+ (* -1/32 (/ (* (pow v 2) (+ (* -1 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 2 (/ (pow v 4) (pow (sqrt -98/5) 4))))) (pow (sqrt -98/5) 2))) (+ (* -1/384 (/ (pow v 6) (pow (sqrt -98/5) 6))) (* 1/24 (+ (* -6 (/ (pow v 6) (pow (sqrt -98/5) 6))) (+ (* -2 (/ (pow v 6) (pow (sqrt -98/5) 6))) (* 6 (/ (pow v 6) (pow (sqrt -98/5) 6)))))))))) (pow H 3)) (/ (* v (* (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2)))))) (+ (* 1/32 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 1/8 (+ (* -1 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 2 (/ (pow v 4) (pow (sqrt -98/5) 4)))))))) (pow H 2))))) |
(exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) |
(+ (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) (* 1/4 (/ (* (pow v 2) (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H))))))) (* H (pow (sqrt -98/5) 2))))) |
(+ (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) (+ (* 1/4 (/ (* (pow v 2) (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H))))))) (* H (pow (sqrt -98/5) 2)))) (/ (* (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) (+ (* -1/8 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 1/32 (/ (pow v 4) (pow (sqrt -98/5) 4))))) (pow H 2)))) |
(+ (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) (+ (* 1/4 (/ (* (pow v 2) (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H))))))) (* H (pow (sqrt -98/5) 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) (+ (* -1/8 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 1/32 (/ (pow v 4) (pow (sqrt -98/5) 4))))) (pow H 2)) (/ (* (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) (+ (* -1/32 (/ (pow v 6) (pow (sqrt -98/5) 6))) (+ (* 1/384 (/ (pow v 6) (pow (sqrt -98/5) 6))) (* 1/12 (/ (pow v 6) (pow (sqrt -98/5) 6)))))) (pow H 3))))) |
(+ (* -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)))))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
(* 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)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ v (sqrt 98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt 98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (sqrt 98/5))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt 98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (* v (* (sqrt 98/5) (+ (* 1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 6))) (/ (pow v 6) (pow (sqrt 98/5) 8))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt 98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (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)))))) |
(* H (+ (/ (pow v 2) H) (pow (sqrt 98/5) 2))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 1/2 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (* (sqrt 98/5) (+ (* -1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 6))) (/ (pow v 6) (pow (sqrt 98/5) 8))))))))) (pow H 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(atan (* v (sqrt (/ 1 (+ (* -1 (* H (pow (sqrt 98/5) 2))) (pow v 2)))))) |
(* v (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2))))))) |
(+ (* 1/4 (/ (* (pow v 3) (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2))))))) (* H (pow (sqrt 98/5) 2)))) (* v (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (* v (* (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2)))))) (+ (* 1/32 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 1/8 (+ (* -1 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 2 (/ (pow v 4) (pow (sqrt 98/5) 4)))))))) H)) (* -1/4 (/ (* (pow v 3) (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2))))))) (pow (sqrt 98/5) 2)))) H)) (* v (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (* (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2)))))) (+ (* -1/32 (/ (* (pow v 2) (+ (* -1 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 2 (/ (pow v 4) (pow (sqrt 98/5) 4))))) (pow (sqrt 98/5) 2))) (+ (* -1/384 (/ (pow v 6) (pow (sqrt 98/5) 6))) (* 1/24 (+ (* -6 (/ (pow v 6) (pow (sqrt 98/5) 6))) (+ (* -2 (/ (pow v 6) (pow (sqrt 98/5) 6))) (* 6 (/ (pow v 6) (pow (sqrt 98/5) 6)))))))))) H)) (* v (* (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2)))))) (+ (* 1/32 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 1/8 (+ (* -1 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 2 (/ (pow v 4) (pow (sqrt 98/5) 4))))))))) H)) (* -1/4 (/ (* (pow v 3) (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2))))))) (pow (sqrt 98/5) 2)))) H)) (* v (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2)))))))) |
(exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) |
(+ (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (* -1/4 (/ (* (pow v 2) (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H))))))) (* H (pow (sqrt 98/5) 2))))) |
(+ (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (+ (* -1/8 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 1/32 (/ (pow v 4) (pow (sqrt 98/5) 4))))) H)) (* 1/4 (/ (* (pow v 2) (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H))))))) (pow (sqrt 98/5) 2)))) H))) |
(+ (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (+ (* -1/32 (/ (pow v 6) (pow (sqrt 98/5) 6))) (+ (* 1/384 (/ (pow v 6) (pow (sqrt 98/5) 6))) (* 1/12 (/ (pow v 6) (pow (sqrt 98/5) 6)))))) H)) (* (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (+ (* -1/8 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 1/32 (/ (pow v 4) (pow (sqrt 98/5) 4)))))) H)) (* 1/4 (/ (* (pow v 2) (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H))))))) (pow (sqrt 98/5) 2)))) H))) |
(* (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 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(* -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)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (pow (sqrt 98/5) 2))) |
(* -1 (* H (+ (* -1 (/ (pow v 2) H)) (pow (sqrt 98/5) 2)))) |
(* -1 (* H (sqrt 98/5))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | H | @ | -inf | ((/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) (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) (* -49/5 (/ H (* v v))) (sqrt (+ (* v v) (* -98/5 H))) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v))) (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v)) (* -98/5 H) (sqrt (* -98/5 H)) (/ H (* v v)) (sqrt (* (* H H) 98/5)) (* (* H H) 98/5)) |
| 16.0ms | v | @ | 0 | ((/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) (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) (* -49/5 (/ H (* v v))) (sqrt (+ (* v v) (* -98/5 H))) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v))) (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v)) (* -98/5 H) (sqrt (* -98/5 H)) (/ H (* v v)) (sqrt (* (* H H) 98/5)) (* (* H H) 98/5)) |
| 15.0ms | H | @ | inf | ((/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) (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) (* -49/5 (/ H (* v v))) (sqrt (+ (* v v) (* -98/5 H))) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v))) (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v)) (* -98/5 H) (sqrt (* -98/5 H)) (/ H (* v v)) (sqrt (* (* H H) 98/5)) (* (* H H) 98/5)) |
| 10.0ms | v | @ | inf | ((/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) (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) (* -49/5 (/ H (* v v))) (sqrt (+ (* v v) (* -98/5 H))) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v))) (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v)) (* -98/5 H) (sqrt (* -98/5 H)) (/ H (* v v)) (sqrt (* (* H H) 98/5)) (* (* H H) 98/5)) |
| 10.0ms | H | @ | 0 | ((/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) (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) (* -49/5 (/ H (* v v))) (sqrt (+ (* v v) (* -98/5 H))) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v))) (+ (* (sqrt (* (* H H) 98/5)) (sqrt 98/5)) (* v v)) (* -98/5 H) (sqrt (* -98/5 H)) (/ H (* v v)) (sqrt (* (* H H) 98/5)) (* (* H H) 98/5)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1107 | 5911 |
| 1 | 3947 | 5485 |
| 0 | 8560 | 5231 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt -98/5) 7)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt -98/5) 5)))))))))) |
(atan (* v (sqrt (/ 1 (+ (* H (pow (sqrt -98/5) 2)) (pow v 2)))))) |
(* (pow (/ 1 H) 1/4) (* v (sqrt (/ 1 (sqrt -98/5))))) |
(* v (+ (* -1/4 (* (pow (/ 1 (pow H 5)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 5)))))) (* (pow (/ 1 H) 1/4) (sqrt (/ 1 (sqrt -98/5)))))) |
(* v (+ (* (pow v 2) (+ (* -1/4 (* (pow (/ 1 (pow H 5)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 5))))) (* 5/32 (* (pow (/ 1 (pow H 9)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 9)))))))) (* (pow (/ 1 H) 1/4) (sqrt (/ 1 (sqrt -98/5)))))) |
(* v (+ (* (pow v 2) (+ (* -1/4 (* (pow (/ 1 (pow H 5)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 5))))) (* (pow v 2) (+ (* -15/128 (* (pow (/ 1 (pow H 13)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 13)))))) (* 5/32 (* (pow (/ 1 (pow H 9)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 9))))))))) (* (pow (/ 1 H) 1/4) (sqrt (/ 1 (sqrt -98/5)))))) |
(* (pow (* 1 H) 1/4) (sqrt (sqrt -98/5))) |
(+ (* 1/4 (* (pow (/ 1 (pow H 3)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 3)))))) (* (pow (* 1 H) 1/4) (sqrt (sqrt -98/5)))) |
(+ (* (pow v 2) (+ (* -3/32 (* (pow (/ 1 (pow H 7)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 7)))))) (* 1/4 (* (pow (/ 1 (pow H 3)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 3))))))) (* (pow (* 1 H) 1/4) (sqrt (sqrt -98/5)))) |
(+ (* (pow v 2) (+ (* 1/4 (* (pow (/ 1 (pow H 3)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 3))))) (* (pow v 2) (+ (* -3/32 (* (pow (/ 1 (pow H 7)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 7))))) (* 7/128 (* (pow (/ 1 (pow H 11)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 11)))))))))) (* (pow (* 1 H) 1/4) (sqrt (sqrt -98/5)))) |
(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)) |
(* (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))))))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(atan (* v (sqrt (/ 1 (+ (* H (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (/ v (sqrt 98/5))) |
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ 1 (sqrt 98/5))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt 98/5) 5)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt 98/5) 7)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt 98/5) 5)))))))))) |
(* (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))))))))) |
(* H (pow (sqrt 98/5) 2)) |
(+ (* H (pow (sqrt 98/5) 2)) (pow v 2)) |
(/ H (pow v 2)) |
1 |
(+ 1 (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))) (* -1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt -98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* (pow H 3) (pow (sqrt -98/5) 6))) (pow v 6)))))) |
(sqrt v) |
(* v (+ (sqrt (/ 1 v)) (* -1/4 (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 5))))))) |
(* v (+ (sqrt (/ 1 v)) (+ (* -1/4 (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 5))))) (* (sqrt (/ 1 (pow v 9))) (+ (* 1/96 (+ (* -12 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 24 (* (pow H 2) (pow (sqrt -98/5) 4))))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4)))))))) |
(* v (+ (sqrt (/ 1 v)) (+ (* -1/4 (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 5))))) (+ (* (sqrt (/ 1 (pow v 9))) (+ (* 1/96 (+ (* -12 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 24 (* (pow H 2) (pow (sqrt -98/5) 4))))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4))))) (* (sqrt (/ 1 (pow v 13))) (+ (* -1/384 (* H (* (pow (sqrt -98/5) 2) (+ (* -12 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 24 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (+ (* -1/384 (* (pow H 3) (pow (sqrt -98/5) 6))) (* 1/2880 (+ (* -720 (* (pow H 3) (pow (sqrt -98/5) 6))) (+ (* -240 (* (pow H 3) (pow (sqrt -98/5) 6))) (* 720 (* (pow H 3) (pow (sqrt -98/5) 6))))))))))))) |
(+ (sqrt v) (* 1/4 (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 3)))))) |
(+ (sqrt v) (+ (* 1/4 (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 3))))) (* (sqrt (/ 1 (pow v 7))) (+ (* -1/8 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4))))))) |
(+ (sqrt v) (+ (* 1/4 (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 3))))) (+ (* (sqrt (/ 1 (pow v 7))) (+ (* -1/8 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4))))) (* (sqrt (/ 1 (pow v 11))) (+ (* -1/32 (* (pow H 3) (pow (sqrt -98/5) 6))) (+ (* 1/384 (* (pow H 3) (pow (sqrt -98/5) 6))) (* 1/12 (* (pow H 3) (pow (sqrt -98/5) 6))))))))) |
(+ 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) |
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))))) |
(+ 1 (* -1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))) (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt 98/5) 4)))) (pow v 4))))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt 98/5) 4)))) (pow v 4))) (* -1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt 98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt 98/5) 4))))))) (* (pow H 3) (pow (sqrt 98/5) 6))) (pow v 6)))))) |
(* v (+ 1 (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))))) |
(* v (+ 1 (+ (* -1/8 (/ (* (pow H 2) (pow (sqrt 98/5) 4)) (pow v 4))) (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* v (+ 1 (+ (* -1/8 (/ (* (pow H 2) (pow (sqrt 98/5) 4)) (pow v 4))) (+ (* 1/16 (/ (* (pow H 3) (pow (sqrt 98/5) 6)) (pow v 6))) (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))))))) |
(* (pow v 2) (+ 1 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2)))) |
(- (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4)))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))) (* 1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt -98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* (pow H 3) (pow (sqrt -98/5) 6))) (pow v 6))))) 1) |
(* (sqrt v) (sqrt -1)) |
(* -1 (* v (+ (* -1 (* (sqrt (/ 1 v)) (sqrt -1))) (* 1/4 (* (* H (* (pow (sqrt -98/5) 2) (sqrt -1))) (sqrt (/ 1 (pow v 5)))))))) |
(* -1 (* v (+ (* -1 (* (sqrt (/ 1 v)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (pow v 9))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 24 (* (pow H 2) (pow (sqrt -98/5) 4))))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* 1/4 (* (* H (* (pow (sqrt -98/5) 2) (sqrt -1))) (sqrt (/ 1 (pow v 5))))))))) |
(* -1 (* v (+ (* -1 (* (sqrt (/ 1 v)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (pow v 9))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 24 (* (pow H 2) (pow (sqrt -98/5) 4))))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (+ (* -1 (* (sqrt (/ 1 (pow v 13))) (* (sqrt -1) (+ (* -1/384 (* H (* (pow (sqrt -98/5) 2) (+ (* -12 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 24 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (+ (* -1/384 (* (pow H 3) (pow (sqrt -98/5) 6))) (* 1/2880 (+ (* -720 (* (pow H 3) (pow (sqrt -98/5) 6))) (+ (* -240 (* (pow H 3) (pow (sqrt -98/5) 6))) (* 720 (* (pow H 3) (pow (sqrt -98/5) 6))))))))))) (* 1/4 (* (* H (* (pow (sqrt -98/5) 2) (sqrt -1))) (sqrt (/ 1 (pow v 5)))))))))) |
(+ (* 1/4 (* (* H (* (pow (sqrt -98/5) 2) (sqrt -1))) (sqrt (/ 1 (pow v 3))))) (* (sqrt v) (sqrt -1))) |
(+ (* 1/4 (* (* H (* (pow (sqrt -98/5) 2) (sqrt -1))) (sqrt (/ 1 (pow v 3))))) (+ (* (sqrt v) (sqrt -1)) (* (sqrt (/ 1 (pow v 7))) (* (sqrt -1) (+ (* -1/8 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4)))))))) |
(+ (* 1/4 (* (* H (* (pow (sqrt -98/5) 2) (sqrt -1))) (sqrt (/ 1 (pow v 3))))) (+ (* (sqrt v) (sqrt -1)) (+ (* (sqrt (/ 1 (pow v 7))) (* (sqrt -1) (+ (* -1/8 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/32 (* (pow H 2) (pow (sqrt -98/5) 4)))))) (* (sqrt (/ 1 (pow v 11))) (* (sqrt -1) (+ (* -1/32 (* (pow H 3) (pow (sqrt -98/5) 6))) (+ (* 1/384 (* (pow H 3) (pow (sqrt -98/5) 6))) (* 1/12 (* (pow H 3) (pow (sqrt -98/5) 6)))))))))) |
(- (+ (* -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)))))))) |
(- (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))) (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt 98/5) 4)))) (pow v 4)))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt 98/5) 4)))) (pow v 4))) (* 1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt 98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt 98/5) 4))))))) (* (pow H 3) (pow (sqrt 98/5) 6))) (pow v 6))))) 1) |
(* -1 (* v (+ 1 (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -1/8 (/ (* (pow H 2) (pow (sqrt 98/5) 4)) (pow v 4))) (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -1/8 (/ (* (pow H 2) (pow (sqrt 98/5) 4)) (pow v 4))) (+ (* 1/16 (/ (* (pow H 3) (pow (sqrt 98/5) 6)) (pow v 6))) (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) (pow v 2)))))))) |
(+ 1 (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))))) (* -1/2 (/ (pow (sqrt -98/5) 2) (pow v 2)))))) |
(+ 1 (* H (+ (* -1/2 (/ (pow (sqrt -98/5) 2) (pow v 2))) (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* 1/2 (/ (* (pow (sqrt -98/5) 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))) (pow v 2))) (/ (pow (sqrt -98/5) 6) (pow v 8)))))) (* -1/2 (* (pow v 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))))))))) |
(* (pow 1 1/4) (sqrt v)) |
(+ (* -1/4 (* (pow 1 1/4) (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 3)))))) (* (pow 1 1/4) (sqrt v))) |
(+ (* H (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow v 3))) (pow (sqrt -98/5) 2)))) (* (pow 1 1/4) (* (* H (+ (* 1/32 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 1/8 (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 2 (/ (pow (sqrt -98/5) 4) (pow v 4))))))) (sqrt v))))) (* (pow 1 1/4) (sqrt v))) |
(+ (* H (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow v 3))) (pow (sqrt -98/5) 2)))) (* H (+ (* (pow 1 1/4) (* (sqrt v) (+ (* 1/32 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 1/8 (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 2 (/ (pow (sqrt -98/5) 4) (pow v 4)))))))) (* (pow 1 1/4) (* (* H (+ (* -1/32 (/ (* (pow (sqrt -98/5) 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 2 (/ (pow (sqrt -98/5) 4) (pow v 4))))) (pow v 2))) (+ (* -1/384 (/ (pow (sqrt -98/5) 6) (pow v 6))) (* 1/24 (+ (* -6 (/ (pow (sqrt -98/5) 6) (pow v 6))) (+ (* -2 (/ (pow (sqrt -98/5) 6) (pow v 6))) (* 6 (/ (pow (sqrt -98/5) 6) (pow v 6))))))))) (sqrt v))))))) (* (pow 1 1/4) (sqrt v))) |
(+ (* 1/4 (* (pow 1 1/4) (* (* H (pow (sqrt -98/5) 2)) (sqrt (/ 1 (pow v 3)))))) (* (pow 1 1/4) (sqrt v))) |
(+ (* H (+ (* 1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow v 3))) (pow (sqrt -98/5) 2)))) (* (pow 1 1/4) (* (* H (+ (* -1/8 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 1/32 (/ (pow (sqrt -98/5) 4) (pow v 4))))) (sqrt v))))) (* (pow 1 1/4) (sqrt v))) |
(+ (* H (+ (* 1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow v 3))) (pow (sqrt -98/5) 2)))) (* H (+ (* (pow 1 1/4) (* (sqrt v) (+ (* -1/8 (/ (pow (sqrt -98/5) 4) (pow v 4))) (* 1/32 (/ (pow (sqrt -98/5) 4) (pow v 4)))))) (* (pow 1 1/4) (* (* H (+ (* -1/32 (/ (pow (sqrt -98/5) 6) (pow v 6))) (+ (* 1/384 (/ (pow (sqrt -98/5) 6) (pow v 6))) (* 1/12 (/ (pow (sqrt -98/5) 6) (pow v 6)))))) (sqrt v))))))) (* (pow 1 1/4) (sqrt v))) |
(+ 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 (* -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 (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* -1 (/ (pow (sqrt 98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt 98/5) 4) (pow v 6))))))) (* -1/2 (/ (pow (sqrt 98/5) 2) (pow v 2)))))) |
(+ 1 (* H (+ (* -1/2 (/ (pow (sqrt 98/5) 2) (pow v 2))) (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* 1/2 (/ (* (pow (sqrt 98/5) 2) (+ (* -1 (/ (pow (sqrt 98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt 98/5) 4) (pow v 6))))) (pow v 2))) (/ (pow (sqrt 98/5) 6) (pow v 8)))))) (* -1/2 (* (pow v 2) (+ (* -1 (/ (pow (sqrt 98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt 98/5) 4) (pow v 6))))))))))) |
(+ v (* 1/2 (/ (* H (pow (sqrt 98/5) 2)) v))) |
(+ v (* H (+ (* -1/8 (/ (* H (pow (sqrt 98/5) 4)) (pow v 3))) (* 1/2 (/ (pow (sqrt 98/5) 2) v))))) |
(+ v (* H (+ (* 1/2 (/ (pow (sqrt 98/5) 2) v)) (* H (+ (* -1/8 (/ (pow (sqrt 98/5) 4) (pow v 3))) (* 1/16 (/ (* H (pow (sqrt 98/5) 6)) (pow v 5)))))))) |
(* H (sqrt 98/5)) |
(* 98/5 (pow H 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (* v (* (sqrt -98/5) (+ (* 1/4 (/ (* H (pow v 4)) (pow (sqrt -98/5) 6))) (/ (pow v 6) (pow (sqrt -98/5) 8))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))))) |
(* v (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2))))))) |
(+ (* -1/4 (/ (* (pow v 3) (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2))))))) (* H (pow (sqrt -98/5) 2)))) (* v (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2)))))))) |
(+ (* -1/4 (/ (* (pow v 3) (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2))))))) (* H (pow (sqrt -98/5) 2)))) (+ (* v (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2))))))) (/ (* v (* (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2)))))) (+ (* 1/32 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 1/8 (+ (* -1 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 2 (/ (pow v 4) (pow (sqrt -98/5) 4)))))))) (pow H 2)))) |
(+ (* -1/4 (/ (* (pow v 3) (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2))))))) (* H (pow (sqrt -98/5) 2)))) (+ (* v (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2))))))) (+ (/ (* v (* (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2)))))) (+ (* -1/32 (/ (* (pow v 2) (+ (* -1 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 2 (/ (pow v 4) (pow (sqrt -98/5) 4))))) (pow (sqrt -98/5) 2))) (+ (* -1/384 (/ (pow v 6) (pow (sqrt -98/5) 6))) (* 1/24 (+ (* -6 (/ (pow v 6) (pow (sqrt -98/5) 6))) (+ (* -2 (/ (pow v 6) (pow (sqrt -98/5) 6))) (* 6 (/ (pow v 6) (pow (sqrt -98/5) 6)))))))))) (pow H 3)) (/ (* v (* (exp (* 1/4 (+ (log (/ 1 H)) (log (/ 1 (pow (sqrt -98/5) 2)))))) (+ (* 1/32 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 1/8 (+ (* -1 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 2 (/ (pow v 4) (pow (sqrt -98/5) 4)))))))) (pow H 2))))) |
(exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) |
(+ (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) (* 1/4 (/ (* (pow v 2) (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H))))))) (* H (pow (sqrt -98/5) 2))))) |
(+ (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) (+ (* 1/4 (/ (* (pow v 2) (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H))))))) (* H (pow (sqrt -98/5) 2)))) (/ (* (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) (+ (* -1/8 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 1/32 (/ (pow v 4) (pow (sqrt -98/5) 4))))) (pow H 2)))) |
(+ (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) (+ (* 1/4 (/ (* (pow v 2) (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H))))))) (* H (pow (sqrt -98/5) 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) (+ (* -1/8 (/ (pow v 4) (pow (sqrt -98/5) 4))) (* 1/32 (/ (pow v 4) (pow (sqrt -98/5) 4))))) (pow H 2)) (/ (* (exp (* 1/4 (+ (log (pow (sqrt -98/5) 2)) (* -1 (log (/ 1 H)))))) (+ (* -1/32 (/ (pow v 6) (pow (sqrt -98/5) 6))) (+ (* 1/384 (/ (pow v 6) (pow (sqrt -98/5) 6))) (* 1/12 (/ (pow v 6) (pow (sqrt -98/5) 6)))))) (pow H 3))))) |
(+ (* -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)))))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
(* 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)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ v (sqrt 98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt 98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (sqrt 98/5))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt 98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (* v (* (sqrt 98/5) (+ (* 1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 6))) (/ (pow v 6) (pow (sqrt 98/5) 8))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt 98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (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)))))) |
(* H (+ (/ (pow v 2) H) (pow (sqrt 98/5) 2))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 1/2 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (* (sqrt 98/5) (+ (* -1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 6))) (/ (pow v 6) (pow (sqrt 98/5) 8))))))))) (pow H 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(atan (* v (sqrt (/ 1 (+ (* -1 (* H (pow (sqrt 98/5) 2))) (pow v 2)))))) |
(* v (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2))))))) |
(+ (* 1/4 (/ (* (pow v 3) (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2))))))) (* H (pow (sqrt 98/5) 2)))) (* v (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (* v (* (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2)))))) (+ (* 1/32 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 1/8 (+ (* -1 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 2 (/ (pow v 4) (pow (sqrt 98/5) 4)))))))) H)) (* -1/4 (/ (* (pow v 3) (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2))))))) (pow (sqrt 98/5) 2)))) H)) (* v (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (* (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2)))))) (+ (* -1/32 (/ (* (pow v 2) (+ (* -1 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 2 (/ (pow v 4) (pow (sqrt 98/5) 4))))) (pow (sqrt 98/5) 2))) (+ (* -1/384 (/ (pow v 6) (pow (sqrt 98/5) 6))) (* 1/24 (+ (* -6 (/ (pow v 6) (pow (sqrt 98/5) 6))) (+ (* -2 (/ (pow v 6) (pow (sqrt 98/5) 6))) (* 6 (/ (pow v 6) (pow (sqrt 98/5) 6)))))))))) H)) (* v (* (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2)))))) (+ (* 1/32 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 1/8 (+ (* -1 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 2 (/ (pow v 4) (pow (sqrt 98/5) 4))))))))) H)) (* -1/4 (/ (* (pow v 3) (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2))))))) (pow (sqrt 98/5) 2)))) H)) (* v (exp (* 1/4 (+ (log (/ -1 H)) (log (/ 1 (pow (sqrt 98/5) 2)))))))) |
(exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) |
(+ (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (* -1/4 (/ (* (pow v 2) (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H))))))) (* H (pow (sqrt 98/5) 2))))) |
(+ (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (+ (* -1/8 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 1/32 (/ (pow v 4) (pow (sqrt 98/5) 4))))) H)) (* 1/4 (/ (* (pow v 2) (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H))))))) (pow (sqrt 98/5) 2)))) H))) |
(+ (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (+ (* -1/32 (/ (pow v 6) (pow (sqrt 98/5) 6))) (+ (* 1/384 (/ (pow v 6) (pow (sqrt 98/5) 6))) (* 1/12 (/ (pow v 6) (pow (sqrt 98/5) 6)))))) H)) (* (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (+ (* -1/8 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 1/32 (/ (pow v 4) (pow (sqrt 98/5) 4)))))) H)) (* 1/4 (/ (* (pow v 2) (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H))))))) (pow (sqrt 98/5) 2)))) H))) |
(* (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 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(* -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)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (pow (sqrt 98/5) 2))) |
(* -1 (* H (+ (* -1 (/ (pow v 2) H)) (pow (sqrt 98/5) 2)))) |
(* -1 (* H (sqrt 98/5))) |
| Outputs |
|---|
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(*.f64 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) (/.f64 (*.f64 v v) #s(literal -98/5 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))) |
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(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt -98/5) 7)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt -98/5) 5)))))))))) |
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(atan (* v (sqrt (/ 1 (+ (* H (pow (sqrt -98/5) 2)) (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)) |
(* (pow (/ 1 H) 1/4) (* v (sqrt (/ 1 (sqrt -98/5))))) |
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(* v (+ (* -1/4 (* (pow (/ 1 (pow H 5)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 5)))))) (* (pow (/ 1 H) 1/4) (sqrt (/ 1 (sqrt -98/5)))))) |
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(* v (+ (* (pow v 2) (+ (* -1/4 (* (pow (/ 1 (pow H 5)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 5))))) (* 5/32 (* (pow (/ 1 (pow H 9)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 9)))))))) (* (pow (/ 1 H) 1/4) (sqrt (/ 1 (sqrt -98/5)))))) |
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(* v (+ (* (pow v 2) (+ (* -1/4 (* (pow (/ 1 (pow H 5)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 5))))) (* (pow v 2) (+ (* -15/128 (* (pow (/ 1 (pow H 13)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 13)))))) (* 5/32 (* (pow (/ 1 (pow H 9)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 9))))))))) (* (pow (/ 1 H) 1/4) (sqrt (/ 1 (sqrt -98/5)))))) |
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(* (pow (* 1 H) 1/4) (sqrt (sqrt -98/5))) |
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(+ (* (pow v 2) (+ (* -3/32 (* (pow (/ 1 (pow H 7)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 7)))))) (* 1/4 (* (pow (/ 1 (pow H 3)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 3))))))) (* (pow (* 1 H) 1/4) (sqrt (sqrt -98/5)))) |
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(+ (* (pow v 2) (+ (* 1/4 (* (pow (/ 1 (pow H 3)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 3))))) (* (pow v 2) (+ (* -3/32 (* (pow (/ 1 (pow H 7)) 1/4) (sqrt (/ 1 (pow (sqrt -98/5) 7))))) (* 7/128 (* (pow (/ 1 (pow H 11)) 1/4) (* (pow v 2) (sqrt (/ 1 (pow (sqrt -98/5) 11)))))))))) (* (pow (* 1 H) 1/4) (sqrt (sqrt -98/5)))) |
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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))) |
(* 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 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #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)))))))) |
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(* 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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(* -49/5 (/ H (pow v 2))) |
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(* (sqrt H) (sqrt -98/5)) |
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(+ (* (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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(+ (* (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 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal -5/98 binary64)))) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) (*.f64 v v) (*.f64 (sqrt.f64 H) (sqrt.f64 #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 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(atan (* v (sqrt (/ 1 (+ (* H (pow (sqrt 98/5) 2)) (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 98/5))) |
(*.f64 (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ 1 (sqrt 98/5))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (/.f64 (*.f64 v v) #s(literal 98/5 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt 98/5) 5)))))))) |
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(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt 98/5) 7)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt 98/5) 5)))))))))) |
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(* (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 (*.f64 v v) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 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))))))) |
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(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
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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 (- (/ (pow v 2) H) 98/5)) |
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(* H (+ (* 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 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))))) |
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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 (+ (/ (pow v 2) H) (pow (sqrt 98/5) 2))) |
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(exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) |
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(+ (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H)))))) (+ (* -1/8 (/ (pow v 4) (pow (sqrt 98/5) 4))) (* 1/32 (/ (pow v 4) (pow (sqrt 98/5) 4))))) H)) (* 1/4 (/ (* (pow v 2) (exp (* 1/4 (+ (log (pow (sqrt 98/5) 2)) (* -1 (log (/ -1 H))))))) (pow (sqrt 98/5) 2)))) H))) |
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(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(+ (* -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)) v) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 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 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) 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) 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))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(*.f64 (neg.f64 H) (+.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) H))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 98/5 binary64)))) |
(* -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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (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)))) (+ (* 1/2 (* (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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 98/5 binary64) (sqrt.f64 #s(literal 98/5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 98/5 binary64) (sqrt.f64 #s(literal 98/5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 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))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (neg.f64 H) (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64))) |
(* -1 (* H (pow (sqrt 98/5) 2))) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -1 (* H (+ (* -1 (/ (pow v 2) H)) (pow (sqrt 98/5) 2)))) |
(*.f64 (neg.f64 H) (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64))) |
(* -1 (* H (sqrt 98/5))) |
(*.f64 (neg.f64 H) (sqrt.f64 #s(literal 98/5 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 244 |
| 0 | 70 | 242 |
| 1 | 196 | 187 |
| 0 | 1235 | 187 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) |
(atan.f64 (/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))) |
(/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) |
(sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 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)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.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)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)) |
(*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(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)))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)))) |
(sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)) |
(*.f64 #s(literal -98/5 binary64) H) |
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) |
(/.f64 H (*.f64 v v)) |
(sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) |
(*.f64 (*.f64 H H) #s(literal 98/5 binary64)) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))) |
(/.f64 (/.f64 (neg.f64 v) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))) |
(/.f64 (neg.f64 v) (*.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))) |
(/.f64 (neg.f64 v) (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
(/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) (neg.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))))) |
(/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
(/.f64 v (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 v) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))) |
(neg.f64 (/.f64 (neg.f64 v) (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
(neg.f64 (/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))))) |
(neg.f64 (/.f64 v (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))) |
(atan.f64 (/.f64 v (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))))) |
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))) |
(/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))) |
(*.f64 (pow.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) #s(literal 1/4 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) #s(literal 1/4 binary64))) |
(pow.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) #s(literal 1/2 binary64)) |
(pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1/4 binary64)) |
(sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) 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)))) (-.f64 (*.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)))) (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #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 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 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 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -49/5 binary64) (neg.f64 v)) (/.f64 H (neg.f64 v))) |
(*.f64 (/.f64 #s(literal -49/5 binary64) (fabs.f64 v)) (/.f64 H (fabs.f64 v))) |
(*.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) |
(*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) |
(*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
(*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) |
(/.f64 (/.f64 (*.f64 #s(literal -49/5 binary64) H) (neg.f64 v)) (neg.f64 v)) |
(/.f64 (/.f64 (*.f64 #s(literal -49/5 binary64) H) (fabs.f64 v)) (fabs.f64 v)) |
(/.f64 (/.f64 (*.f64 #s(literal -49/5 binary64) H) v) v) |
(/.f64 (*.f64 (/.f64 H v) #s(literal -49/5 binary64)) v) |
(/.f64 (*.f64 (neg.f64 H) #s(literal -49/5 binary64)) (*.f64 (neg.f64 v) v)) |
(/.f64 (*.f64 (*.f64 #s(literal -49/5 binary64) H) #s(literal 1 binary64)) (*.f64 v v)) |
(/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v) |
(/.f64 (*.f64 #s(literal -49/5 binary64) (neg.f64 H)) (*.f64 (neg.f64 v) v)) |
(/.f64 (neg.f64 (*.f64 #s(literal -49/5 binary64) H)) (*.f64 (neg.f64 v) v)) |
(/.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 v v)) |
(*.f64 (fabs.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) (fabs.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))) |
(*.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) (neg.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))) |
(*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
(pow.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)) #s(literal 1/2 binary64)) |
(pow.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))) (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))))) |
(sqrt.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
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(+.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))))) |
(+.f64 (*.f64 v v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) |
(+.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 (neg.f64 (neg.f64 v)) v)) |
(+.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 H)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (fabs.f64 H)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 H) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (fabs.f64 H) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (sqrt.f64 H) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 (fabs.f64 H) (sqrt.f64 #s(literal 98/5 binary64)))) |
(*.f64 (*.f64 (fabs.f64 H) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) |
(*.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal -98/5 binary64) H) |
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))) |
(sqrt.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) |
(fabs.f64 (*.f64 H #s(literal -98/5 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 (sqrt.f64 #s(literal -98/5 binary64))) (fabs.f64 (sqrt.f64 H))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)) |
(pow.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) |
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) |
(fabs.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 H (neg.f64 v)) (neg.f64 v)) |
(/.f64 (/.f64 H (fabs.f64 v)) (fabs.f64 v)) |
(/.f64 (neg.f64 (/.f64 H v)) (neg.f64 v)) |
(/.f64 (neg.f64 (neg.f64 H)) (*.f64 v v)) |
(/.f64 (/.f64 H v) v) |
(/.f64 (neg.f64 H) (*.f64 (neg.f64 v) v)) |
(/.f64 H (*.f64 v v)) |
(neg.f64 (/.f64 (neg.f64 H) (*.f64 v v))) |
(neg.f64 (/.f64 H (*.f64 (neg.f64 v) v))) |
(*.f64 (pow.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 H) (sqrt.f64 (*.f64 #s(literal 98/5 binary64) H))) |
(*.f64 (sqrt.f64 H) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 H) (sqrt.f64 #s(literal 98/5 binary64))) |
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) |
(pow.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 98/5 binary64) (neg.f64 H)) (neg.f64 H)) |
(*.f64 (*.f64 #s(literal 98/5 binary64) (fabs.f64 H)) (fabs.f64 H)) |
(*.f64 (neg.f64 H) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(*.f64 (fabs.f64 H) (*.f64 (fabs.f64 H) #s(literal 98/5 binary64))) |
(*.f64 (*.f64 H H) #s(literal 98/5 binary64)) |
(*.f64 (*.f64 #s(literal 98/5 binary64) H) H) |
(*.f64 #s(literal 98/5 binary64) (*.f64 H H)) |
(*.f64 H (*.f64 #s(literal 98/5 binary64) H)) |
Compiled 15 763 to 2 584 computations (83.6% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 469 | 8 | 477 |
| Fresh | 6 | 3 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 477 | 14 | 491 |
| Status | Accuracy | Program |
|---|---|---|
| 51.7% | (atan.f64 (/.f64 (/.f64 v (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1/4 binary64))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))) | |
| 21.0% | (atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)))))) | |
| ▶ | 67.9% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) |
| ✓ | 68.1% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| 53.3% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (sqrt.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))))))) | |
| ▶ | 40.0% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| 36.4% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) | |
| 48.6% | (atan.f64 (*.f64 (/.f64 v (hypot.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))) (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) | |
| ▶ | 32.5% | (atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64))) |
| 32.6% | (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)))) | |
| ✓ | 37.3% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) |
| ▶ | 18.3% | (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))))) |
| ✓ | 37.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ▶ | 68.0% | #s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
Compiled 574 to 379 computations (34% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) | |
| cost-diff | 4 | (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v 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 | 3 | (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) | |
| cost-diff | 0 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) | |
| cost-diff | 0 | #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) | |
| cost-diff | 0 | (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) | |
| cost-diff | 0 | #s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 412 |
| 0 | 81 | 364 |
| 1 | 125 | 334 |
| 2 | 255 | 314 |
| 3 | 733 | 314 |
| 4 | 1300 | 314 |
| 5 | 2762 | 314 |
| 6 | 4252 | 314 |
| 7 | 4569 | 314 |
| 8 | 5153 | 314 |
| 9 | 6702 | 314 |
| 0 | 8046 | 298 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (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 #s(literal -98/5 binary64) H (*.f64 v v)))) 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 #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 binary64) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64))) |
#s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64)) |
#s(literal 1 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 #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 |
(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 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)))) |
v |
(sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)) |
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) |
(sqrt.f64 #s(literal 98/5 binary64)) |
#s(literal 98/5 binary64) |
(fabs.f64 H) |
H |
(*.f64 v v) |
| Outputs |
|---|
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) v))) |
(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 H #s(literal -98/5 binary64) (*.f64 v v)))) v)) |
(*.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 H #s(literal -98/5 binary64) (*.f64 v v)))) v) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64))) |
#s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64)) |
#s(literal 1 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 (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)))) |
(/.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 #s(literal -98/5 binary64) H))) |
(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 #s(literal -98/5 binary64) H)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 H #s(literal -98/5 binary64)) |
#s(literal -98/5 binary64) |
H |
(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 (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(approx (- (* -49/5 (/ H (* v v))) 1) (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)))) #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 (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(approx (- (* -49/5 (/ H (* v v))) 1) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #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 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #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 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (fabs.f64 H) #s(literal 98/5 binary64) (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)))) |
(/.f64 v (sqrt.f64 (fma.f64 (fabs.f64 H) #s(literal 98/5 binary64) (*.f64 v v)))) |
v |
(sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))) |
(sqrt.f64 (fma.f64 (fabs.f64 H) #s(literal 98/5 binary64) (*.f64 v v))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)) |
(fma.f64 (fabs.f64 H) #s(literal 98/5 binary64) (*.f64 v v)) |
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) |
(*.f64 (fabs.f64 H) (sqrt.f64 #s(literal 98/5 binary64))) |
(sqrt.f64 #s(literal 98/5 binary64)) |
#s(literal 98/5 binary64) |
(fabs.f64 H) |
H |
(*.f64 v v) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) | |
| accuracy | 0.05859375 | (/.f64 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)))) | |
| accuracy | 0.0625 | (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)) | |
| accuracy | 10.229172475773957 | (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))) | |
| accuracy | 0.00390625 | (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))))) | |
| accuracy | 0.375 | (*.f64 #s(literal -49/5 binary64) H) | |
| accuracy | 14.366358432792195 | (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) | |
| accuracy | 30.379709118885746 | #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 | 0.05859375 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) | |
| accuracy | 0.375 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 10.229172475773957 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| accuracy | 21.12142717685123 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| accuracy | 0.00390625 | (atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64))) | |
| accuracy | 32.12294546242031 | #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64)) | |
| accuracy | 0.125 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) | |
| accuracy | 0.15979254138909577 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) | |
| accuracy | 0.18359375 | (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) | |
| accuracy | 10.129416073140924 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
| 86.0ms | 172× | 0 | valid |
| 33.0ms | 80× | 0 | invalid |
| 8.0ms | 4× | 5 | exit |
Compiled 348 to 45 computations (87.1% saved)
ival-mult: 33.0ms (33.1% of total)const: 22.0ms (22% of total)ival-div: 11.0ms (11% of total)ival-sqrt: 10.0ms (10% of total)ival-atan: 9.0ms (9% of total)ival-hypot: 4.0ms (4% of total)ival-add: 3.0ms (3% of total)adjust: 2.0ms (2% of total)ival-sub: 2.0ms (2% of total)ival-fabs: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (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 #s(literal -98/5 binary64) H (*.f64 v v)))) 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 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64))) |
#s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 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 #s(literal -98/5 binary64) H)))) |
(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 (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))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)))) |
(sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))) |
(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))) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 #s(literal -49/5 binary64) H) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* H (pow (sqrt -98/5) 2)) (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))))))))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt -98/5) 7)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt -98/5) 5)))))))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (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)) |
(* -49/5 (/ H (pow v 2))) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(* (fabs H) (pow (sqrt 98/5) 2)) |
(+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)) |
(atan (* v (sqrt (/ 1 (+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* (/ v (sqrt 98/5)) (sqrt (/ 1 (fabs H)))) |
(* v (+ (* -1/2 (* (/ (pow v 2) (pow (sqrt 98/5) 3)) (sqrt (/ 1 (pow (fabs H) 3))))) (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))))) |
(* v (+ (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 3/8 (* (/ (pow v 2) (pow (sqrt 98/5) 5)) (sqrt (/ 1 (pow (fabs H) 5))))))))) |
(* v (+ (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (/ (pow v 2) (pow (sqrt 98/5) 7)) (sqrt (/ 1 (pow (fabs H) 7))))) (* 3/8 (* (sqrt (/ 1 (pow (fabs H) 5))) (/ 1 (pow (sqrt 98/5) 5)))))))))) |
(* (sqrt (fabs H)) (sqrt 98/5)) |
(+ (* 1/2 (* (/ (pow v 2) (sqrt 98/5)) (sqrt (/ 1 (fabs H))))) (* (sqrt (fabs H)) (sqrt 98/5))) |
(+ (* (sqrt (fabs H)) (sqrt 98/5)) (* (pow v 2) (+ (* -1/8 (* (/ (pow v 2) (pow (sqrt 98/5) 3)) (sqrt (/ 1 (pow (fabs H) 3))))) (* 1/2 (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))))))) |
(+ (* (sqrt (fabs H)) (sqrt 98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 1/16 (* (/ (pow v 2) (pow (sqrt 98/5) 5)) (sqrt (/ 1 (pow (fabs H) 5)))))))))) |
(+ (* -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))) |
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) |
(+ 1 (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))) (* -1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt -98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* (pow H 3) (pow (sqrt -98/5) 6))) (pow v 6)))))) |
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))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(* (pow v 2) (+ 1 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))) |
(+ 1 (* -1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (* -1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4))))) |
(+ 1 (+ (* -1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4))) (* -1/2 (/ (+ (* 1/2 (* (fabs H) (* (pow (sqrt 98/5) 2) (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))))))) (* (pow (fabs H) 3) (pow (sqrt 98/5) 6))) (pow v 6)))))) |
(* v (+ 1 (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))) |
(* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (+ (* 1/16 (/ (* (pow (fabs H) 3) (pow (sqrt 98/5) 6)) (pow v 6))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (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)) |
(- (+ (* -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)) |
(- (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4)))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))) (* 1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt -98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* (pow H 3) (pow (sqrt -98/5) 6))) (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)))))))) |
(- (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) 1) |
(- (+ (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (* 1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4)))) 1) |
(- (+ (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4))) (* 1/2 (/ (+ (* 1/2 (* (fabs H) (* (pow (sqrt 98/5) 2) (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))))))) (* (pow (fabs H) 3) (pow (sqrt 98/5) 6))) (pow v 6))))) 1) |
(* -1 (* v (+ 1 (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (+ (* 1/16 (/ (* (pow (fabs H) 3) (pow (sqrt 98/5) 6)) (pow v 6))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (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)))))) |
(+ (* 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)) |
(+ 1 (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))))) (* -1/2 (/ (pow (sqrt -98/5) 2) (pow v 2)))))) |
(+ 1 (* H (+ (* -1/2 (/ (pow (sqrt -98/5) 2) (pow v 2))) (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* 1/2 (/ (* (pow (sqrt -98/5) 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))) (pow v 2))) (/ (pow (sqrt -98/5) 6) (pow v 8)))))) (* -1/2 (* (pow v 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))))))))) |
(+ 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 (sqrt (/ 1 (+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))) |
(sqrt (+ (* (fabs H) (pow (sqrt 98/5) 2)) (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))) |
(* -49/5 H) |
(+ (* -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)))))) |
(+ (* -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))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (* v (* (sqrt -98/5) (+ (* 1/4 (/ (* H (pow v 4)) (pow (sqrt -98/5) 6))) (/ (pow v 6) (pow (sqrt -98/5) 8))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (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)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 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) |
(atan (* v (sqrt (/ 1 (+ (* -1 (* H (pow (sqrt 98/5) 2))) (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))))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 1/2 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (* (sqrt 98/5) (+ (* -1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 6))) (/ (pow v 6) (pow (sqrt 98/5) 8))))))))) (pow H 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(* -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)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) 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)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | v | @ | -inf | ((atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 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)) (/ (+ (* (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) (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)) (atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (+ (* -98/5 H) (* v v)) (/ 1 (+ (* -98/5 H) (* v v))) (* -98/5 H) (* -49/5 H)) |
| 5.0ms | H | @ | -inf | ((atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 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)) (/ (+ (* (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) (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)) (atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (+ (* -98/5 H) (* v v)) (/ 1 (+ (* -98/5 H) (* v v))) (* -98/5 H) (* -49/5 H)) |
| 5.0ms | v | @ | 0 | ((atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 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)) (/ (+ (* (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) (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)) (atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (+ (* -98/5 H) (* v v)) (/ 1 (+ (* -98/5 H) (* v v))) (* -98/5 H) (* -49/5 H)) |
| 5.0ms | H | @ | inf | ((atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 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)) (/ (+ (* (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) (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)) (atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (+ (* -98/5 H) (* v v)) (/ 1 (+ (* -98/5 H) (* v v))) (* -98/5 H) (* -49/5 H)) |
| 4.0ms | H | @ | 0 | ((atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 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)) (/ (+ (* (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) (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)) (atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (+ (* -98/5 H) (* v v)) (/ 1 (+ (* -98/5 H) (* v v))) (* -98/5 H) (* -49/5 H)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 749 | 4075 |
| 1 | 2452 | 3813 |
| 0 | 9325 | 3608 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* H (pow (sqrt -98/5) 2)) (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))))))))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt -98/5) 7)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt -98/5) 5)))))))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (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)) |
(* -49/5 (/ H (pow v 2))) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(* (fabs H) (pow (sqrt 98/5) 2)) |
(+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)) |
(atan (* v (sqrt (/ 1 (+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* (/ v (sqrt 98/5)) (sqrt (/ 1 (fabs H)))) |
(* v (+ (* -1/2 (* (/ (pow v 2) (pow (sqrt 98/5) 3)) (sqrt (/ 1 (pow (fabs H) 3))))) (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))))) |
(* v (+ (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 3/8 (* (/ (pow v 2) (pow (sqrt 98/5) 5)) (sqrt (/ 1 (pow (fabs H) 5))))))))) |
(* v (+ (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (/ (pow v 2) (pow (sqrt 98/5) 7)) (sqrt (/ 1 (pow (fabs H) 7))))) (* 3/8 (* (sqrt (/ 1 (pow (fabs H) 5))) (/ 1 (pow (sqrt 98/5) 5)))))))))) |
(* (sqrt (fabs H)) (sqrt 98/5)) |
(+ (* 1/2 (* (/ (pow v 2) (sqrt 98/5)) (sqrt (/ 1 (fabs H))))) (* (sqrt (fabs H)) (sqrt 98/5))) |
(+ (* (sqrt (fabs H)) (sqrt 98/5)) (* (pow v 2) (+ (* -1/8 (* (/ (pow v 2) (pow (sqrt 98/5) 3)) (sqrt (/ 1 (pow (fabs H) 3))))) (* 1/2 (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))))))) |
(+ (* (sqrt (fabs H)) (sqrt 98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 1/16 (* (/ (pow v 2) (pow (sqrt 98/5) 5)) (sqrt (/ 1 (pow (fabs H) 5)))))))))) |
(+ (* -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))) |
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) |
(+ 1 (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))) (* -1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt -98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* (pow H 3) (pow (sqrt -98/5) 6))) (pow v 6)))))) |
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))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(* (pow v 2) (+ 1 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))) |
(+ 1 (* -1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (* -1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4))))) |
(+ 1 (+ (* -1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4))) (* -1/2 (/ (+ (* 1/2 (* (fabs H) (* (pow (sqrt 98/5) 2) (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))))))) (* (pow (fabs H) 3) (pow (sqrt 98/5) 6))) (pow v 6)))))) |
(* v (+ 1 (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))) |
(* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (+ (* 1/16 (/ (* (pow (fabs H) 3) (pow (sqrt 98/5) 6)) (pow v 6))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (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)) |
(- (+ (* -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)) |
(- (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4)))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))) (* 1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt -98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* (pow H 3) (pow (sqrt -98/5) 6))) (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)))))))) |
(- (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) 1) |
(- (+ (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (* 1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4)))) 1) |
(- (+ (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4))) (* 1/2 (/ (+ (* 1/2 (* (fabs H) (* (pow (sqrt 98/5) 2) (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))))))) (* (pow (fabs H) 3) (pow (sqrt 98/5) 6))) (pow v 6))))) 1) |
(* -1 (* v (+ 1 (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (+ (* 1/16 (/ (* (pow (fabs H) 3) (pow (sqrt 98/5) 6)) (pow v 6))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (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)))))) |
(+ (* 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)) |
(+ 1 (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))))) (* -1/2 (/ (pow (sqrt -98/5) 2) (pow v 2)))))) |
(+ 1 (* H (+ (* -1/2 (/ (pow (sqrt -98/5) 2) (pow v 2))) (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* 1/2 (/ (* (pow (sqrt -98/5) 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))) (pow v 2))) (/ (pow (sqrt -98/5) 6) (pow v 8)))))) (* -1/2 (* (pow v 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))))))))) |
(+ 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 (sqrt (/ 1 (+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))) |
(sqrt (+ (* (fabs H) (pow (sqrt 98/5) 2)) (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))) |
(* -49/5 H) |
(+ (* -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)))))) |
(+ (* -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))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (* v (* (sqrt -98/5) (+ (* 1/4 (/ (* H (pow v 4)) (pow (sqrt -98/5) 6))) (/ (pow v 6) (pow (sqrt -98/5) 8))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (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)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 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) |
(atan (* v (sqrt (/ 1 (+ (* -1 (* H (pow (sqrt 98/5) 2))) (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))))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 1/2 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (* (sqrt 98/5) (+ (* -1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 6))) (/ (pow v 6) (pow (sqrt 98/5) 8))))))))) (pow H 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(* -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)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) 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)) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* H (pow (sqrt -98/5) 2)) (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 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #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 #s(literal -1/2 binary64) (sqrt.f64 H))) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 625/368947264 binary64) (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 625/368947264 binary64) (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal 3 binary64))))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 625/368947264 binary64) (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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) |
(* (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 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
(+ (* (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))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H))) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 625/368947264 binary64) (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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)))) |
(+ (* (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))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 625/368947264 binary64) (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal 3 binary64))))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 625/368947264 binary64) (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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)))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(*.f64 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) (/.f64 (*.f64 v v) #s(literal -98/5 binary64))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.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))))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 #s(literal -98/5 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt -98/5) 7)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt -98/5) 5)))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 3/8 binary64))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 #s(literal -98/5 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #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 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) |
(+ (* (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 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) (/.f64 (*.f64 v v) #s(literal -98/5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 v v) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) |
(+ (* (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 1/16 binary64) (*.f64 (/.f64 (*.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 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 #s(literal -98/5 binary64) (sqrt.f64 #s(literal -98/5 binary64)))))) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 v v) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) |
(* -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)) |
(* -49/5 (/ H (pow v 2))) |
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) |
(/ (+ (* -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)) |
(* (fabs H) (pow (sqrt 98/5) 2)) |
(*.f64 (fabs.f64 H) #s(literal 98/5 binary64)) |
(+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)) |
(fma.f64 (fabs.f64 H) #s(literal 98/5 binary64) (*.f64 v v)) |
(atan (* v (sqrt (/ 1 (+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 H) #s(literal 98/5 binary64) (*.f64 v v)))) v)) |
(* (/ v (sqrt 98/5)) (sqrt (/ 1 (fabs H)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))) |
(* v (+ (* -1/2 (* (/ (pow v 2) (pow (sqrt 98/5) 3)) (sqrt (/ 1 (pow (fabs H) 3))))) (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) #s(literal 98/5 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (sqrt.f64 #s(literal 98/5 binary64)))) v) |
(* v (+ (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 3/8 (* (/ (pow v 2) (pow (sqrt 98/5) 5)) (sqrt (/ 1 (pow (fabs H) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 5 binary64)))) (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (sqrt.f64 #s(literal 98/5 binary64)))) v) |
(* v (+ (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (/ (pow v 2) (pow (sqrt 98/5) 7)) (sqrt (/ 1 (pow (fabs H) 7))))) (* 3/8 (* (sqrt (/ 1 (pow (fabs H) 5))) (/ 1 (pow (sqrt 98/5) 5)))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 7 binary64)))) (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 7 binary64)))) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) #s(literal 3/8 binary64))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (sqrt.f64 #s(literal 98/5 binary64)))) v) |
(* (sqrt (fabs H)) (sqrt 98/5)) |
(*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) |
(+ (* 1/2 (* (/ (pow v 2) (sqrt 98/5)) (sqrt (/ 1 (fabs H))))) (* (sqrt (fabs H)) (sqrt 98/5))) |
(fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))) |
(+ (* (sqrt (fabs H)) (sqrt 98/5)) (* (pow v 2) (+ (* -1/8 (* (/ (pow v 2) (pow (sqrt 98/5) 3)) (sqrt (/ 1 (pow (fabs H) 3))))) (* 1/2 (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) #s(literal 98/5 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))) |
(+ (* (sqrt (fabs H)) (sqrt 98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 1/16 (* (/ (pow v 2) (pow (sqrt 98/5) 5)) (sqrt (/ 1 (pow (fabs H) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 5 binary64)))) (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64))) #s(literal -1/8 binary64))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) |
(-.f64 (*.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H)) (/.f64 #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))) |
(-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -125/941192 binary64) (*.f64 v v)) (pow.f64 H #s(literal 3 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))) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -625/92236816 binary64) (*.f64 v v)) (pow.f64 H #s(literal 4 binary64))) (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 v v)) (/.f64 #s(literal 25/9604 binary64) (*.f64 H H))) (*.f64 v v)) (/.f64 #s(literal 5/98 binary64) H)) |
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)) |
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(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) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -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))))) |
(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) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 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 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (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) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) 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)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 (neg.f64 H) #s(literal 3 binary64))))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal 98/5 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 1/2 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (* (sqrt 98/5) (+ (* -1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 6))) (/ (pow v 6) (pow (sqrt 98/5) 8))))))))) (pow H 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (pow.f64 v #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 H) (pow.f64 v #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) H) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 6 binary64))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) (pow.f64 H #s(literal 3 binary64))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) |
(* -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) (pow.f64 H #s(literal 3 binary64)))) (*.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 -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (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) (pow.f64 H #s(literal 3 binary64)))) (*.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)))) (+ (* 1/16 (* (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 1/16 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (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) (pow.f64 H #s(literal 3 binary64)))) (*.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 (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H))) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64)) (neg.f64 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 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64) (*.f64 #s(literal -25/9604 binary64) (*.f64 v v))) 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 #s(literal 5/98 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64) (*.f64 #s(literal 125/941192 binary64) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 H)) (*.f64 #s(literal 25/9604 binary64) (*.f64 v v))) H)) (neg.f64 H)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 371 |
| 0 | 81 | 323 |
| 1 | 225 | 289 |
| 0 | 1338 | 284 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (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 #s(literal -98/5 binary64) H (*.f64 v v)))) 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 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64))) |
#s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 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 #s(literal -98/5 binary64) H)))) |
(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 (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))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v)))) |
(sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))) |
(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))) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 #s(literal -49/5 binary64) H) |
| Outputs |
|---|
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) v))) |
(atan.f64 (*.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) v)) |
(*.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) v) |
(*.f64 v (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) v) (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)) |
(/.f64 (*.f64 v #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(pow.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
(/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)) |
(sqrt.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64))) |
#s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* 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 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))) |
(/.f64 (neg.f64 v) (neg.f64 (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))))) |
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(neg.f64 (/.f64 v (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))) |
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
(/.f64 (/.f64 (fma.f64 v v (neg.f64 (*.f64 #s(literal -49/5 binary64) H))) v) (neg.f64 v)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (fabs.f64 v)) (fabs.f64 v)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (neg.f64 v)) (neg.f64 v)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 v) v) (/.f64 v v)) (*.f64 (/.f64 (neg.f64 v) v) (/.f64 v v))) (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (neg.f64 v) v) (/.f64 v v)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 v) v) (/.f64 v v)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (neg.f64 v) v) (/.f64 v v)) (*.f64 (/.f64 (neg.f64 v) v) (/.f64 v v)) (-.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 v) v) (/.f64 v v)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) v)) (neg.f64 v)) |
(/.f64 (neg.f64 (fma.f64 v v (neg.f64 (*.f64 #s(literal -49/5 binary64) H)))) (*.f64 v v)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 v) v) (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 #s(literal -49/5 binary64) H))) (pow.f64 v #s(literal 4 binary64))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) v) v) |
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 2401/25 binary64) (*.f64 H H))) (*.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal 49/5 binary64) H)) (*.f64 v v))) |
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(fma.f64 (*.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 H) (*.f64 v v)) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (fabs.f64 H) (*.f64 (neg.f64 (neg.f64 v)) v)) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (fabs.f64 H) (*.f64 v v)) |
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (*.f64 (neg.f64 (neg.f64 v)) v)) |
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (*.f64 v v)) |
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 H) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 v)) v)) |
(fma.f64 (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 H) #s(literal 2 binary64)) (*.f64 v v)) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (*.f64 (neg.f64 (neg.f64 v)) v)) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (*.f64 v v)) |
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (sqrt.f64 H) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (*.f64 (neg.f64 (neg.f64 v)) v)) |
(fma.f64 (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (sqrt.f64 H) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (*.f64 v v)) |
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (*.f64 (neg.f64 (neg.f64 v)) v)) |
(fma.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (*.f64 v v)) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 (neg.f64 v)) v)) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 (neg.f64 v)) v)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(fma.f64 v v (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 2 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)))) |
(-.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 (neg.f64 v) v)) |
(-.f64 (*.f64 v v) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))) |
(-.f64 (*.f64 v v) (*.f64 (neg.f64 H) #s(literal -98/5 binary64))) |
(-.f64 (*.f64 v v) (*.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) |
(-.f64 (*.f64 v v) (*.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))) |
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)) |
(+.f64 (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 #s(literal 9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) |
(+.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 (neg.f64 (neg.f64 v)) v)) |
(+.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) |
(+.f64 (*.f64 v v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) |
(*.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1/2 binary64))) |
(pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 H)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (fabs.f64 H)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 H) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (sqrt.f64 H) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal -98/5 binary64) H) |
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))) |
(sqrt.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 H #s(literal -98/5 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal 2 binary64))) |
(*.f64 #s(literal -49/5 binary64) H) |
(*.f64 H #s(literal -49/5 binary64)) |
Compiled 16 233 to 2 072 computations (87.2% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 336 | 4 | 340 |
| Fresh | 4 | 2 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 341 | 13 | 354 |
| Status | Accuracy | Program |
|---|---|---|
| 21.0% | (atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)))))) | |
| ✓ | 68.1% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| ✓ | 40.0% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| ▶ | 36.4% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
| ▶ | 45.9% | (atan.f64 (/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))))) |
| ▶ | 32.6% | (atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
| ✓ | 32.5% | (atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64))) |
| ✓ | 37.3% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) |
| ✓ | 18.3% | (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))))) |
| ✓ | 37.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ▶ | 45.8% | (atan.f64 #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))))) |
| ✓ | 68.0% | #s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
| ▶ | 40.0% | #s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
Compiled 557 to 340 computations (39% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))))) | |
| 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 | (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) | |
| cost-diff | 0 | (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)) | |
| cost-diff | 0 | #s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) 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 (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))) | |
| cost-diff | 0 | (/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 450 |
| 0 | 86 | 414 |
| 1 | 128 | 381 |
| 2 | 231 | 361 |
| 3 | 436 | 361 |
| 4 | 756 | 361 |
| 5 | 921 | 361 |
| 6 | 986 | 361 |
| 7 | 1024 | 361 |
| 8 | 1031 | 361 |
| 0 | 1031 | 339 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(atan.f64 (/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))))) |
(/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))))) |
v |
#s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))) |
(*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) |
(sqrt.f64 (fabs.f64 H)) |
(fabs.f64 H) |
H |
(sqrt.f64 #s(literal 98/5 binary64)) |
#s(literal 98/5 binary64) |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v 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) |
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
#s(literal -5/98 binary64) |
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)))) |
(/.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 #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))))) |
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 H)) |
#s(literal 1 binary64) |
(fabs.f64 H) |
H |
(/.f64 v (sqrt.f64 #s(literal 98/5 binary64))) |
v |
(sqrt.f64 #s(literal 98/5 binary64)) |
#s(literal 98/5 binary64) |
| Outputs |
|---|
(atan.f64 (/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (fabs.f64 H)))))) |
(/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))))) |
(/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (fabs.f64 H))))) |
v |
#s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))) |
#s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (fabs.f64 H)))) |
(*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) |
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (fabs.f64 H))) |
(sqrt.f64 (fabs.f64 H)) |
(fabs.f64 H) |
H |
(sqrt.f64 #s(literal 98/5 binary64)) |
#s(literal 98/5 binary64) |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (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)) |
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
v |
#s(literal 49/5 binary64) |
#s(literal 1 binary64) |
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
#s(literal -5/98 binary64) |
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 (/.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 #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))))) |
(atan.f64 #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H)))))) |
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) |
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))) |
(*.f64 (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 H)) |
#s(literal 1 binary64) |
(fabs.f64 H) |
H |
(/.f64 v (sqrt.f64 #s(literal 98/5 binary64))) |
v |
(sqrt.f64 #s(literal 98/5 binary64)) |
#s(literal 98/5 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (atan.f64 #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))))) | |
| accuracy | 0.109375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) | |
| accuracy | 0.21484375 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))) | |
| accuracy | 21.37557237653208 | #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) | |
| accuracy | 0.00390625 | (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 | 0.0625 | (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) | |
| accuracy | 0.125 | (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) | |
| accuracy | 33.17145817109082 | #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) | |
| accuracy | 0.08984375 | (/.f64 #s(literal -5/98 binary64) H) | |
| accuracy | 0.12890625 | (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) | |
| accuracy | 10.129416073140924 | (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) | |
| accuracy | 21.599657366781017 | #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) | |
| accuracy | 0.00390625 | (atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.05859375 | (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) | |
| accuracy | 5.790330422103701 | (/.f64 H (*.f64 v v)) | |
| accuracy | 33.36189765204876 | #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (atan.f64 (/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))))) | |
| accuracy | 0.0625 | (/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))))) | |
| accuracy | 0.1640625 | (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) | |
| accuracy | 21.38742723893704 | #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))) |
| 125.0ms | 176× | 0 | valid |
| 36.0ms | 80× | 0 | invalid |
Compiled 344 to 51 computations (85.2% saved)
ival-add: 56.0ms (41.2% of total)ival-mult: 18.0ms (13.2% of total)ival-div: 16.0ms (11.8% of total)const: 16.0ms (11.8% of total)ival-sqrt: 15.0ms (11% of total)ival-atan: 8.0ms (5.9% of total)ival-hypot: 4.0ms (2.9% of total)ival-fabs: 1.0ms (0.7% of total)ival-sub: 1.0ms (0.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(atan.f64 (/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))))) |
(/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))))) |
#s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))) |
(*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v 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)) |
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) |
(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) |
(atan.f64 #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))))) |
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* (/ v (sqrt 98/5)) (sqrt (/ 1 (fabs H)))) |
(* v (+ (* -1/2 (* (/ (pow v 2) (pow (sqrt 98/5) 3)) (sqrt (/ 1 (pow (fabs H) 3))))) (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))))) |
(* v (+ (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 3/8 (* (/ (pow v 2) (pow (sqrt 98/5) 5)) (sqrt (/ 1 (pow (fabs H) 5))))))))) |
(* v (+ (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (/ (pow v 2) (pow (sqrt 98/5) 7)) (sqrt (/ 1 (pow (fabs H) 7))))) (* 3/8 (* (sqrt (/ 1 (pow (fabs H) 5))) (/ 1 (pow (sqrt 98/5) 5)))))))))) |
(* (sqrt (fabs H)) (sqrt 98/5)) |
(+ (* 1/2 (* (/ (pow v 2) (sqrt 98/5)) (sqrt (/ 1 (fabs H))))) (* (sqrt (fabs H)) (sqrt 98/5))) |
(+ (* (sqrt (fabs H)) (sqrt 98/5)) (* (pow v 2) (+ (* -1/8 (* (/ (pow v 2) (pow (sqrt 98/5) 3)) (sqrt (/ 1 (pow (fabs H) 3))))) (* 1/2 (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))))))) |
(+ (* (sqrt (fabs H)) (sqrt 98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 1/16 (* (/ (pow v 2) (pow (sqrt 98/5) 5)) (sqrt (/ 1 (pow (fabs H) 5)))))))))) |
(atan (* v (sqrt (/ 1 (+ (* H (pow (sqrt -98/5) 2)) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt -98/5) 7)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt -98/5) 5)))))))))) |
(* 49/5 (/ H (pow v 2))) |
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) |
(/ 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)))))) |
(* (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) |
(/ -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))) |
1 |
(+ 1 (* -1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (* -1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4))))) |
(+ 1 (+ (* -1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4))) (* -1/2 (/ (+ (* 1/2 (* (fabs H) (* (pow (sqrt 98/5) 2) (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))))))) (* (pow (fabs H) 3) (pow (sqrt 98/5) 6))) (pow v 6)))))) |
v |
(* v (+ 1 (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))) |
(* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (+ (* 1/16 (/ (* (pow (fabs H) 3) (pow (sqrt 98/5) 6)) (pow v 6))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))))) |
(+ 1 (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))) (* -1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt -98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* (pow H 3) (pow (sqrt -98/5) 6))) (pow v 6)))))) |
(+ 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) |
(* 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 |
(- (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) 1) |
(- (+ (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (* 1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4)))) 1) |
(- (+ (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4))) (* 1/2 (/ (+ (* 1/2 (* (fabs H) (* (pow (sqrt 98/5) 2) (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))))))) (* (pow (fabs H) 3) (pow (sqrt 98/5) 6))) (pow v 6))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (+ (* 1/16 (/ (* (pow (fabs H) 3) (pow (sqrt 98/5) 6)) (pow v 6))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))))) |
(- (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4)))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))) (* 1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt -98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* (pow H 3) (pow (sqrt -98/5) 6))) (pow v 6))))) 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)) |
(* -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 (* v (- (* 49/5 (/ H (pow v 2))) 1))) |
(* v (sqrt (/ 1 (+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))) |
(sqrt (+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) |
(+ 1 (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))))) (* -1/2 (/ (pow (sqrt -98/5) 2) (pow v 2)))))) |
(+ 1 (* H (+ (* -1/2 (/ (pow (sqrt -98/5) 2) (pow v 2))) (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* 1/2 (/ (* (pow (sqrt -98/5) 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))) (pow v 2))) (/ (pow (sqrt -98/5) 6) (pow v 8)))))) (* -1/2 (* (pow v 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))))))))) |
(+ 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)))))) |
(+ (* 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 (* -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))))) |
(sqrt (/ 1 (fabs H))) |
(+ (* 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))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (* v (* (sqrt -98/5) (+ (* 1/4 (/ (* H (pow v 4)) (pow (sqrt -98/5) 6))) (/ (pow v 6) (pow (sqrt -98/5) 8))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))))) |
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) |
(+ (* -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)))))) |
(+ (* -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))))) |
(* 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)))))) |
(* H (- (/ v H) (* 49/5 (/ 1 v)))) |
(/ (- (* -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) |
(atan (* v (sqrt (/ 1 (+ (* -1 (* H (pow (sqrt 98/5) 2))) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 1/2 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (* (sqrt 98/5) (+ (* -1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 6))) (/ (pow v 6) (pow (sqrt 98/5) 8))))))))) (pow H 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))) |
(* (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))))) |
(* -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)))))))) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))) |
(* -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)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | H | @ | inf | ((atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (* (sqrt (fabs H)) (sqrt 98/5)) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 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))) (+ (* (/ H v) -49/5) v) (atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (* (sqrt (/ 1 (fabs H))) (/ v (sqrt 98/5))) (sqrt (/ 1 (fabs H))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H)) |
| 5.0ms | H | @ | -inf | ((atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (* (sqrt (fabs H)) (sqrt 98/5)) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 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))) (+ (* (/ H v) -49/5) v) (atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (* (sqrt (/ 1 (fabs H))) (/ v (sqrt 98/5))) (sqrt (/ 1 (fabs H))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H)) |
| 4.0ms | H | @ | 0 | ((atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (* (sqrt (fabs H)) (sqrt 98/5)) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 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))) (+ (* (/ H v) -49/5) v) (atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (* (sqrt (/ 1 (fabs H))) (/ v (sqrt 98/5))) (sqrt (/ 1 (fabs H))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H)) |
| 3.0ms | v | @ | 0 | ((atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (* (sqrt (fabs H)) (sqrt 98/5)) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 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))) (+ (* (/ H v) -49/5) v) (atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (* (sqrt (/ 1 (fabs H))) (/ v (sqrt 98/5))) (sqrt (/ 1 (fabs H))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H)) |
| 3.0ms | v | @ | -inf | ((atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (* (sqrt (fabs H)) (sqrt 98/5)) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 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))) (+ (* (/ H v) -49/5) v) (atan (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (* (sqrt (/ 1 (fabs H))) (/ v (sqrt 98/5))) (sqrt (/ 1 (fabs H))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 749 | 4051 |
| 1 | 2436 | 3784 |
| 0 | 9146 | 3582 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* (/ v (sqrt 98/5)) (sqrt (/ 1 (fabs H)))) |
(* v (+ (* -1/2 (* (/ (pow v 2) (pow (sqrt 98/5) 3)) (sqrt (/ 1 (pow (fabs H) 3))))) (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))))) |
(* v (+ (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 3/8 (* (/ (pow v 2) (pow (sqrt 98/5) 5)) (sqrt (/ 1 (pow (fabs H) 5))))))))) |
(* v (+ (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (/ (pow v 2) (pow (sqrt 98/5) 7)) (sqrt (/ 1 (pow (fabs H) 7))))) (* 3/8 (* (sqrt (/ 1 (pow (fabs H) 5))) (/ 1 (pow (sqrt 98/5) 5)))))))))) |
(* (sqrt (fabs H)) (sqrt 98/5)) |
(+ (* 1/2 (* (/ (pow v 2) (sqrt 98/5)) (sqrt (/ 1 (fabs H))))) (* (sqrt (fabs H)) (sqrt 98/5))) |
(+ (* (sqrt (fabs H)) (sqrt 98/5)) (* (pow v 2) (+ (* -1/8 (* (/ (pow v 2) (pow (sqrt 98/5) 3)) (sqrt (/ 1 (pow (fabs H) 3))))) (* 1/2 (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))))))) |
(+ (* (sqrt (fabs H)) (sqrt 98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 1/16 (* (/ (pow v 2) (pow (sqrt 98/5) 5)) (sqrt (/ 1 (pow (fabs H) 5)))))))))) |
(atan (* v (sqrt (/ 1 (+ (* H (pow (sqrt -98/5) 2)) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt -98/5) 7)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt -98/5) 5)))))))))) |
(* 49/5 (/ H (pow v 2))) |
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) |
(/ 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)))))) |
(* (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) |
(/ -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))) |
1 |
(+ 1 (* -1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (* -1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4))))) |
(+ 1 (+ (* -1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4))) (* -1/2 (/ (+ (* 1/2 (* (fabs H) (* (pow (sqrt 98/5) 2) (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))))))) (* (pow (fabs H) 3) (pow (sqrt 98/5) 6))) (pow v 6)))))) |
v |
(* v (+ 1 (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))) |
(* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (+ (* 1/16 (/ (* (pow (fabs H) 3) (pow (sqrt 98/5) 6)) (pow v 6))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))))) |
(+ 1 (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))))) |
(+ 1 (+ (* -1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))) (* -1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt -98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* (pow H 3) (pow (sqrt -98/5) 6))) (pow v 6)))))) |
(+ 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) |
(* 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 |
(- (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) 1) |
(- (+ (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (* 1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4)))) 1) |
(- (+ (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)))) (pow v 4))) (* 1/2 (/ (+ (* 1/2 (* (fabs H) (* (pow (sqrt 98/5) 2) (+ (* -1 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))) (* 1/4 (* (pow (fabs H) 2) (pow (sqrt 98/5) 4))))))) (* (pow (fabs H) 3) (pow (sqrt 98/5) 6))) (pow v 6))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -1/8 (/ (* (pow (fabs H) 2) (pow (sqrt 98/5) 4)) (pow v 4))) (+ (* 1/16 (/ (* (pow (fabs H) 3) (pow (sqrt 98/5) 6)) (pow v 6))) (* 1/2 (/ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))))) |
(- (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4)))) 1) |
(- (+ (* 1/2 (/ (* H (pow (sqrt -98/5) 2)) (pow v 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4)))) (pow v 4))) (* 1/2 (/ (+ (* 1/2 (* H (* (pow (sqrt -98/5) 2) (+ (* -1 (* (pow H 2) (pow (sqrt -98/5) 4))) (* 1/4 (* (pow H 2) (pow (sqrt -98/5) 4))))))) (* (pow H 3) (pow (sqrt -98/5) 6))) (pow v 6))))) 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)) |
(* -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 (* v (- (* 49/5 (/ H (pow v 2))) 1))) |
(* v (sqrt (/ 1 (+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))))) |
(sqrt (+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2))) |
(+ 1 (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))))) (* -1/2 (/ (pow (sqrt -98/5) 2) (pow v 2)))))) |
(+ 1 (* H (+ (* -1/2 (/ (pow (sqrt -98/5) 2) (pow v 2))) (* H (+ (* -1/2 (* H (* (pow v 2) (+ (* 1/2 (/ (* (pow (sqrt -98/5) 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))) (pow v 2))) (/ (pow (sqrt -98/5) 6) (pow v 8)))))) (* -1/2 (* (pow v 2) (+ (* -1 (/ (pow (sqrt -98/5) 4) (pow v 6))) (* 1/4 (/ (pow (sqrt -98/5) 4) (pow v 6))))))))))) |
(+ 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)))))) |
(+ (* 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 (* -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))))) |
(sqrt (/ 1 (fabs H))) |
(+ (* 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))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (* v (* (sqrt -98/5) (+ (* 1/4 (/ (* H (pow v 4)) (pow (sqrt -98/5) 6))) (/ (pow v 6) (pow (sqrt -98/5) 8))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))))) |
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) |
(+ (* -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)))))) |
(+ (* -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))))) |
(* 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)))))) |
(* H (- (/ v H) (* 49/5 (/ 1 v)))) |
(/ (- (* -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) |
(atan (* v (sqrt (/ 1 (+ (* -1 (* H (pow (sqrt 98/5) 2))) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 1/2 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (* (sqrt 98/5) (+ (* -1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 6))) (/ (pow v 6) (pow (sqrt 98/5) 8))))))))) (pow H 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))) |
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))) |
(* (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))))) |
(* -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)))))))) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))) |
(* -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)) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* (fabs H) (pow (sqrt 98/5) 2)) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (fabs.f64 H) (*.f64 v v)))) v)) |
(* (/ v (sqrt 98/5)) (sqrt (/ 1 (fabs H)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))) |
(* v (+ (* -1/2 (* (/ (pow v 2) (pow (sqrt 98/5) 3)) (sqrt (/ 1 (pow (fabs H) 3))))) (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) #s(literal 98/5 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (sqrt.f64 #s(literal 98/5 binary64)))) v) |
(* v (+ (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 3/8 (* (/ (pow v 2) (pow (sqrt 98/5) 5)) (sqrt (/ 1 (pow (fabs H) 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 5 binary64)))) (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 3 binary64)))) (*.f64 #s(literal 98/5 binary64) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (sqrt.f64 #s(literal 98/5 binary64)))) v) |
(* v (+ (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (/ (pow v 2) (pow (sqrt 98/5) 7)) (sqrt (/ 1 (pow (fabs H) 7))))) (* 3/8 (* (sqrt (/ 1 (pow (fabs H) 5))) (/ 1 (pow (sqrt 98/5) 5)))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 7 binary64)))) (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 7 binary64)))) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) #s(literal 3/8 binary64))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 3 binary64)))) (*.f64 #s(literal 98/5 binary64) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (sqrt.f64 #s(literal 98/5 binary64)))) v) |
(* (sqrt (fabs H)) (sqrt 98/5)) |
(*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) |
(+ (* 1/2 (* (/ (pow v 2) (sqrt 98/5)) (sqrt (/ 1 (fabs H))))) (* (sqrt (fabs H)) (sqrt 98/5))) |
(fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))) |
(+ (* (sqrt (fabs H)) (sqrt 98/5)) (* (pow v 2) (+ (* -1/8 (* (/ (pow v 2) (pow (sqrt 98/5) 3)) (sqrt (/ 1 (pow (fabs H) 3))))) (* 1/2 (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5))))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 v v) #s(literal 98/5 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (sqrt.f64 #s(literal 98/5 binary64))))) (*.f64 v v) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))) |
(+ (* (sqrt (fabs H)) (sqrt 98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 (fabs H))) (/ 1 (sqrt 98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow (fabs H) 3))) (/ 1 (pow (sqrt 98/5) 3)))) (* 1/16 (* (/ (pow v 2) (pow (sqrt 98/5) 5)) (sqrt (/ 1 (pow (fabs H) 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 5 binary64)))) (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 H) #s(literal 3 binary64)))) (*.f64 #s(literal 98/5 binary64) (sqrt.f64 #s(literal 98/5 binary64)))))) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (sqrt.f64 #s(literal 98/5 binary64))))) (*.f64 v v) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))) |
(atan (* v (sqrt (/ 1 (+ (* H (pow (sqrt -98/5) 2)) (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 -98/5))) |
(*.f64 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) (/.f64 (*.f64 v v) #s(literal -98/5 binary64))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.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))))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 #s(literal -98/5 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* (pow v 2) (+ (* -5/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt -98/5) 7)))) (* 3/8 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt -98/5) 5)))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 3/8 binary64))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 #s(literal -98/5 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))) 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)) |
(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)) |
(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 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #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 #s(literal -1/2 binary64) (sqrt.f64 H)) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 625/368947264 binary64) (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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)))))))))) |
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v |
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(* -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 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64) (*.f64 #s(literal -25/9604 binary64) (*.f64 v v))) 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 #s(literal 5/98 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64) (*.f64 #s(literal 125/941192 binary64) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 H)) (*.f64 #s(literal 25/9604 binary64) (*.f64 v v))) H)) (neg.f64 H)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 408 |
| 0 | 86 | 368 |
| 1 | 234 | 331 |
| 0 | 1336 | 309 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(atan.f64 (/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))))) |
(/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))))) |
#s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))) |
(*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v 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)) |
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) |
(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) |
(atan.f64 #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))))) |
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
| Outputs |
|---|
(atan.f64 (/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (sqrt.f64 (*.f64 (fabs.f64 H) #s(literal 98/5 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (sqrt.f64 (*.f64 (fabs.f64 H) #s(literal 98/5 binary64))))))) |
(/.f64 (neg.f64 v) (neg.f64 #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (sqrt.f64 (*.f64 (fabs.f64 H) #s(literal 98/5 binary64)))))) |
(/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (sqrt.f64 (*.f64 (fabs.f64 H) #s(literal 98/5 binary64))))) |
(neg.f64 (/.f64 (neg.f64 v) #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (sqrt.f64 (*.f64 (fabs.f64 H) #s(literal 98/5 binary64)))))) |
(neg.f64 (/.f64 v (neg.f64 #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (sqrt.f64 (*.f64 (fabs.f64 H) #s(literal 98/5 binary64))))))) |
#s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (sqrt.f64 (*.f64 (fabs.f64 H) #s(literal 98/5 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (fabs.f64 H))) |
(*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) |
(pow.f64 (*.f64 (fabs.f64 H) #s(literal 98/5 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (fabs.f64 H) #s(literal 98/5 binary64))) |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 117649/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal 117649/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 2 binary64)) (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)))))) |
(/.f64 (fma.f64 #s(literal 117649/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))))) |
(fma.f64 (/.f64 H (neg.f64 v)) (/.f64 #s(literal 49/5 binary64) (neg.f64 v)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 H (fabs.f64 v)) (/.f64 #s(literal 49/5 binary64) (fabs.f64 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 (/.f64 H v) (/.f64 #s(literal 49/5 binary64) v) #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 #s(literal 49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 1 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)) |
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 H (*.f64 v v))) #s(literal 49/5 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)))))) |
(+.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)))) |
(/.f64 (/.f64 H (neg.f64 v)) (neg.f64 v)) |
(/.f64 (/.f64 H (fabs.f64 v)) (fabs.f64 v)) |
(/.f64 (neg.f64 (/.f64 H v)) (neg.f64 v)) |
(/.f64 (neg.f64 (neg.f64 H)) (*.f64 v v)) |
(/.f64 (neg.f64 H) (*.f64 (neg.f64 v) v)) |
(/.f64 (/.f64 H v) v) |
(/.f64 H (*.f64 v v)) |
(neg.f64 (/.f64 (neg.f64 H) (*.f64 v v))) |
(neg.f64 (/.f64 H (*.f64 (neg.f64 v) v))) |
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))) |
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1/2 binary64))) |
(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 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))) |
(/.f64 (neg.f64 v) (neg.f64 #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 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(neg.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)))) |
(neg.f64 (/.f64 v (neg.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)) |
(/.f64 (-.f64 (*.f64 v v) (pow.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) #s(literal 2 binary64))) (-.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) #s(literal 2 binary64)) (*.f64 v v))) (neg.f64 (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -117649/125 binary64) (pow.f64 (/.f64 H v) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64)))) (neg.f64 (fma.f64 v (-.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (pow.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) #s(literal 2 binary64)) (*.f64 v v)) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)) |
(/.f64 (fma.f64 #s(literal -117649/125 binary64) (pow.f64 (/.f64 H v) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))) (fma.f64 v v (-.f64 (pow.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))) |
(/.f64 (fma.f64 #s(literal -117649/125 binary64) (pow.f64 (/.f64 H v) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))) (fma.f64 v (-.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (pow.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v) |
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) |
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)) (/.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))) |
(-.f64 v (*.f64 #s(literal 49/5 binary64) (/.f64 H v))) |
(-.f64 v (*.f64 (neg.f64 (/.f64 H v)) #s(literal -49/5 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) #s(literal 3 binary64)) (fma.f64 v (-.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (pow.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) #s(literal 2 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 v (-.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (pow.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v) |
(+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) |
(atan.f64 #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))) (pow.f64 (fabs.f64 H) #s(literal -1/2 binary64))))) |
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))) (pow.f64 (fabs.f64 H) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))) (pow.f64 (fabs.f64 H) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 H) #s(literal -1/2 binary64)) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))) |
(/.f64 (*.f64 (neg.f64 v) (pow.f64 (fabs.f64 H) #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal 98/5 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (fabs.f64 H))) |
(/.f64 (*.f64 (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fabs.f64 H))) |
(/.f64 (*.f64 (pow.f64 (fabs.f64 H) #s(literal -1/2 binary64)) (neg.f64 v)) (neg.f64 (sqrt.f64 #s(literal 98/5 binary64)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (fabs.f64 H) #s(literal -1/2 binary64)) v)) (neg.f64 (sqrt.f64 #s(literal 98/5 binary64)))) |
(/.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (fabs.f64 H)))) |
(/.f64 (*.f64 v #s(literal 1 binary64)) (sqrt.f64 (*.f64 (fabs.f64 H) #s(literal 98/5 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (*.f64 (sqrt.f64 (fabs.f64 H)) (neg.f64 (sqrt.f64 #s(literal 98/5 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) v) (sqrt.f64 (*.f64 (fabs.f64 H) #s(literal 98/5 binary64)))) |
(/.f64 (*.f64 (pow.f64 (fabs.f64 H) #s(literal -1/2 binary64)) v) (sqrt.f64 #s(literal 98/5 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fabs.f64 H) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fabs.f64 H) #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (fabs.f64 H) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fabs.f64 H)) #s(literal -1 binary64)) |
(pow.f64 (fabs.f64 H) #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fabs.f64 H)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fabs.f64 H)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 H))) |
(sqrt.f64 (pow.f64 (fabs.f64 H) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fabs.f64 H) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal 5/98 binary64) (neg.f64 H)) |
(/.f64 #s(literal -5/98 binary64) (neg.f64 (neg.f64 H))) |
(/.f64 #s(literal -5/98 binary64) H) |
(neg.f64 (/.f64 #s(literal 5/98 binary64) H)) |
Compiled 11 788 to 1 388 computations (88.2% saved)
14 alts after pruning (2 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 232 | 1 | 233 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 232 | 14 | 246 |
| Status | Accuracy | Program |
|---|---|---|
| 21.0% | (atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)))))) | |
| ✓ | 68.1% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| ✓ | 40.0% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| ✓ | 36.4% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
| ✓ | 45.9% | (atan.f64 (/.f64 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))))) |
| ✓ | 32.6% | (atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
| ✓ | 32.5% | (atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(literal 1 binary64))) |
| ✓ | 37.3% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) |
| ✓ | 18.3% | (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))))) |
| ✓ | 37.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| 45.9% | (atan.f64 #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (/.f64 (*.f64 (pow.f64 (fabs.f64 H) #s(literal -1/2 binary64)) v) (sqrt.f64 #s(literal 98/5 binary64))))) | |
| ✓ | 45.8% | (atan.f64 #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))))) |
| ✓ | 68.0% | #s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
| ✓ | 40.0% | #s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
Compiled 1 071 to 445 computations (58.5% 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 (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* 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 (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) |
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(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 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))))) |
(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 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (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 v #s(approx (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v))) (*.f64 (sqrt.f64 (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)))))) |
(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 v v (sqrt.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))))))) |
(atan.f64 #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 H))) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64)))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (fabs.f64 H)) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 H H) #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 v v))))) |
(atan.f64 #s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (fabs H)) (sqrt 98/5)) (* v v)))) (/.f64 (*.f64 (pow.f64 (fabs.f64 H) #s(literal -1/2 binary64)) v) (sqrt.f64 #s(literal 98/5 binary64))))) |
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))))) |
(atan.f64 (*.f64 (/.f64 v (hypot.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))) (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) |
(atan.f64 (/.f64 (/.f64 v (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1/4 binary64))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))) |
(atan.f64 (/.f64 (/.f64 v (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))) |
(atan.f64 (/.f64 v (/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -98/5 binary64)) H))))))) |
| 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:
| 10.0ms | H |
| 10.0ms | (/.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 | 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 |
|---|---|---|
| 88.4% | 3 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 84.1% | 3 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 84.1% | 3 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 99.8% | 3 | v |
| 88.4% | 3 | H |
Compiled 32 to 31 computations (3.1% 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 (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* 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 (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) |
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(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 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))))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) 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)))) |
1 calls:
| 8.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 3 | v |
Compiled 1 to 2 computations (-100% 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 (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* 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 (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) |
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
1 calls:
| 3.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 3 | v |
Compiled 1 to 2 computations (-100% 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 (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* 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 (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #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:
| 4.0ms | (/.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 |
|---|---|---|
| 53.9% | 2 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 53.9% | 2 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 39.2% | 2 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 39.2% | 2 | H |
| 67.8% | 2 | v |
Compiled 32 to 31 computations (3.1% 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 | v |
| 1.0ms | H |
| 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 |
|---|---|---|
| 37.1% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 37.1% | 1 | H |
| 37.1% | 1 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 37.1% | 1 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 37.1% | 1 | v |
Compiled 32 to 31 computations (3.1% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 4.4937660240292296e+91 | 3.848045927305818e+98 |
| 2.0ms | -1.5949053319897946e+155 | -8.88543238097095e+151 |
| 8.0ms | 96× | 0 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 166 to 154 computations (7.2% saved)
ival-mult: 2.0ms (33.1% of total)ival-div: 1.0ms (16.5% of total)ival-atan: 1.0ms (16.5% of total)ival-sqrt: 1.0ms (16.5% of total)const: 1.0ms (16.5% of total)adjust: 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)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 6.888772047036352e-71 | 8.972050117119644e-70 |
| 23.0ms | -2.04852507686709e-63 | -7.134121000976577e-69 |
| 20.0ms | 240× | 0 | valid |
| 7.0ms | 59× | 0 | invalid |
Compiled 1 051 to 598 computations (43.1% saved)
ival-mult: 6.0ms (31% of total)ival-sqrt: 4.0ms (20.7% of total)const: 4.0ms (20.7% of total)ival-div: 2.0ms (10.3% of total)ival-atan: 2.0ms (10.3% of total)ival-sub: 1.0ms (5.2% of total)adjust: 0.0ms (0% 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 |
|---|---|---|
| 1.0ms | 6.888772047036352e-71 | 8.972050117119644e-70 |
| 1.0ms | -2.04852507686709e-63 | -7.134121000976577e-69 |
Compiled 1 021 to 586 computations (42.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 45.0ms | -9.748484753585808e-281 | -5.085417184177764e-301 |
| 19.0ms | 78× | 0 | invalid |
| 14.0ms | 176× | 0 | valid |
Compiled 346 to 324 computations (6.4% saved)
ival-atan: 14.0ms (52.3% of total)ival-mult: 5.0ms (18.7% of total)const: 3.0ms (11.2% of total)ival-div: 2.0ms (7.5% of total)ival-sqrt: 2.0ms (7.5% of total)ival-sub: 1.0ms (3.7% of total)adjust: 0.0ms (0% 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 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 240 |
| 1 | 86 | 218 |
| 2 | 141 | 218 |
| 3 | 229 | 218 |
| 4 | 309 | 218 |
| 5 | 327 | 218 |
| 6 | 335 | 218 |
| 7 | 343 | 218 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 v #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 199999999999999999538074049028741601393225095984807677841113727932195173096259352955823864957370368 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 -3187191151307837/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 6962525309737013/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) #s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) 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)))))) |
(if (<=.f64 v #s(literal -3187191151307837/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 6962525309737013/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) #s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -3136669746631429/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 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 -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 199999999999999999538074049028741601393225095984807677841113727932195173096259352955823864957370368 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 -3187191151307837/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 6962525309737013/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) #s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) 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)))))) |
(if (<=.f64 v #s(literal -3187191151307837/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 6962525309737013/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) #s(approx (atan (/ (/ v (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (sqrt (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -3136669746631429/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 749 | 4075 |
| 1 | 2452 | 3813 |
| 0 | 9325 | 3608 |
| 0 | 323 | 1372 |
| 1 | 1029 | 1326 |
| 2 | 4424 | 1276 |
| 0 | 8647 | 1197 |
| 0 | 1107 | 5911 |
| 1 | 3947 | 5485 |
| 0 | 8560 | 5231 |
| 0 | 11 | 40 |
| 0 | 19 | 40 |
| 1 | 48 | 40 |
| 2 | 268 | 40 |
| 3 | 2803 | 40 |
| 0 | 8950 | 33 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 282 to 65 computations (77% saved)
Compiled 590 to 152 computations (74.2% saved)
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