
Time bar (total: 2.1s)
| 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)
| 539.0ms | 8 256× | 0 | valid |
| 5.0ms | 104× | 0 | invalid |
ival-atan: 112.0ms (33.1% of total)ival-mult!: 86.0ms (25.4% of total)ival-sqrt: 76.0ms (22.5% of total)ival-div!: 44.0ms (13% of total)ival-sub!: 17.0ms (5% of total)adjust: 2.0ms (0.6% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 70 |
| 1 | 116 | 68 |
| 2 | 345 | 68 |
| 3 | 884 | 68 |
| 4 | 2301 | 68 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.1% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(negabs v)
Compiled 22 to 22 computations (0% saved)
| 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 |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* 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)))))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* 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)))))))))))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H)))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H))) |
#s(approx H #s(hole binary64 H)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -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))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* 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))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* 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)))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | H | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H) |
| 3.0ms | v | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H) |
| 3.0ms | H | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H) |
| 2.0ms | v | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H) |
| 1.0ms | v | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 390 | 2001 |
| 0 | 400 | 1934 |
| 1 | 1070 | 1934 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | unsound |
| 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 |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* 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)))))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* 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)))))))))))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H)))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H))) |
#s(approx H #s(hole binary64 H)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -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))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* 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))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* 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)))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))) |
v |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))) |
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)) |
(*.f64 v v) |
(*.f64 #s(literal 98/5 binary64) H) |
#s(literal 98/5 binary64) |
#s(literal 2 binary64) |
#s(literal 49/5 binary64) |
H |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 v (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/19208 binary64) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 H (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 625/92236816 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))))))))))) |
#s(approx v v) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 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 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H))) |
#s(approx (* v v) (pow.f64 v #s(literal 2 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) v)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 7203/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 H (-.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H (pow.f64 v #s(literal 3 binary64)))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 H (-.f64 (*.f64 H (-.f64 (*.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64)))) (*.f64 #s(literal 2401/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64)))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v)))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (* (* 2 49/5) H) (*.f64 #s(literal 98/5 binary64) H)) |
#s(approx H H) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 v (fma.f64 #s(literal 625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 125/1882384 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (pow.f64 H #s(literal 3 binary64))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -1 binary64) (*.f64 H (+.f64 #s(literal 98/5 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H)))))) |
Compiled 1 206 to 459 computations (61.9% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 53 | 7 | 60 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 54 | 7 | 61 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.1% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))) |
| 45.9% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))) | |
| ▶ | 37.9% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| ▶ | 73.1% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))) |
| ▶ | 69.5% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ▶ | 1.8% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| 65.0% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))))) |
Compiled 214 to 212 computations (0.9% saved)
| Inputs |
|---|
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))) |
v |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) |
(+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) |
(*.f64 #s(literal -49/5 binary64) (/.f64 H v)) |
#s(literal -49/5 binary64) |
(/.f64 H v) |
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)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v (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 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))) |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))) |
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)) |
(*.f64 v v) |
(*.f64 #s(literal 98/5 binary64) H) |
#s(literal 98/5 binary64) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* 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)))))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* 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)))))))))))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))))) |
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* -49/5 (/ H v)))) |
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v))) |
#s(approx (/ H v) #s(hole binary64 (/ H v))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H)))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))))) |
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))))) |
#s(approx H #s(hole binary64 H)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (* 98/5 H) #s(hole binary64 (* 98/5 H))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -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))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* 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))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* 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)))))))) |
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* H (- (/ v H) (* 49/5 (/ 1 v)))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))))) |
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | H | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (+ v (* -49/5 (/ H v))) (* -49/5 (/ H v)) -49/5 (/ H v) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (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)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* 98/5 H))))) (/ v (sqrt (- (* v v) (* 98/5 H)))) (sqrt (- (* v v) (* 98/5 H))) (- (* v v) (* 98/5 H)) (* v v) (* 98/5 H) 98/5) |
| 3.0ms | H | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (+ v (* -49/5 (/ H v))) (* -49/5 (/ H v)) -49/5 (/ H v) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (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)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* 98/5 H))))) (/ v (sqrt (- (* v v) (* 98/5 H)))) (sqrt (- (* v v) (* 98/5 H))) (- (* v v) (* 98/5 H)) (* v v) (* 98/5 H) 98/5) |
| 2.0ms | v | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (+ v (* -49/5 (/ H v))) (* -49/5 (/ H v)) -49/5 (/ H v) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (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)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* 98/5 H))))) (/ v (sqrt (- (* v v) (* 98/5 H)))) (sqrt (- (* v v) (* 98/5 H))) (- (* v v) (* 98/5 H)) (* v v) (* 98/5 H) 98/5) |
| 2.0ms | v | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (+ v (* -49/5 (/ H v))) (* -49/5 (/ H v)) -49/5 (/ H v) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (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)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* 98/5 H))))) (/ v (sqrt (- (* v v) (* 98/5 H)))) (sqrt (- (* v v) (* 98/5 H))) (- (* v v) (* 98/5 H)) (* v v) (* 98/5 H) 98/5) |
| 2.0ms | v | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (+ v (* -49/5 (/ H v))) (* -49/5 (/ H v)) -49/5 (/ H v) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (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)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* 98/5 H))))) (/ v (sqrt (- (* v v) (* 98/5 H)))) (sqrt (- (* v v) (* 98/5 H))) (- (* v v) (* 98/5 H)) (* v v) (* 98/5 H) 98/5) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 421 | 2276 |
| 0 | 439 | 2207 |
| 1 | 1142 | 2207 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))) |
v |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) |
(+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) |
(*.f64 #s(literal -49/5 binary64) (/.f64 H v)) |
#s(literal -49/5 binary64) |
(/.f64 H v) |
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)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v (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 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))) |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))) |
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)) |
(*.f64 v v) |
(*.f64 #s(literal 98/5 binary64) H) |
#s(literal 98/5 binary64) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* 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)))))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* 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)))))))))))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))))) |
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* -49/5 (/ H v)))) |
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v))) |
#s(approx (/ H v) #s(hole binary64 (/ H v))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H)))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))))) |
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))))) |
#s(approx H #s(hole binary64 H)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (* 98/5 H) #s(hole binary64 (* 98/5 H))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -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))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* 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))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* 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)))))))) |
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* H (- (/ v H) (* 49/5 (/ 1 v)))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))))) |
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
| Outputs |
|---|
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))) |
v |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) |
(+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) |
(*.f64 #s(literal -49/5 binary64) (/.f64 H v)) |
#s(literal -49/5 binary64) |
(/.f64 H v) |
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)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v (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 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))) |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))) |
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)) |
(*.f64 v v) |
(*.f64 #s(literal 98/5 binary64) H) |
#s(literal 98/5 binary64) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 v (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/19208 binary64) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 H (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 625/92236816 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))))))))))) |
#s(approx v v) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))))))))))) |
#s(approx (+ v (* -49/5 (/ H v))) (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) |
#s(approx (+ v (* -49/5 (/ H v))) (/.f64 (fma.f64 #s(literal -49/5 binary64) H (pow.f64 v #s(literal 2 binary64))) v)) |
#s(approx (/ H v) (/.f64 H v)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (-.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H))) |
#s(approx (* v v) (pow.f64 v #s(literal 2 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) v)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))) |
#s(approx (+ v (* -49/5 (/ H v))) (*.f64 #s(literal -1 binary64) (*.f64 v (-.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 7203/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 H (-.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H (pow.f64 v #s(literal 3 binary64)))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 H (-.f64 (*.f64 H (-.f64 (*.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64)))) (*.f64 #s(literal 2401/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64)))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v)))))) |
#s(approx H H) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (* 98/5 H) (*.f64 #s(literal 98/5 binary64) H)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 v (fma.f64 #s(literal 625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))))) |
#s(approx (+ v (* -49/5 (/ H v))) (*.f64 H (-.f64 (/.f64 v H) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 125/1882384 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (pow.f64 H #s(literal 3 binary64))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))))))) |
#s(approx (+ v (* -49/5 (/ H v))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1 binary64) (/.f64 v H) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v)))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -1 binary64) (*.f64 H (+.f64 #s(literal 98/5 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H)))))) |
Compiled 1 210 to 493 computations (59.3% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 58 | 0 | 58 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 58 | 7 | 65 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 65.1% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))) |
| ▶ | 45.9% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))) |
| ✓ | 37.9% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| ✓ | 73.1% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))) |
| ✓ | 69.5% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 1.8% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ▶ | 65.0% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))))) |
Compiled 107 to 106 computations (0.9% saved)
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))) |
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))) |
v |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))) |
#s(literal -98/5 binary64) |
H |
(pow.f64 v #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) |
(*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) |
(/.f64 H (pow.f64 v #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* 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)))))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* 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)))))))))))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (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))))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (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))))))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ -5/98 H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (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))))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -98/5 H))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (pow v 2) #s(hole binary64 (pow v 2))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H)))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (* -98/5 (/ H (pow v 2))))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) (pow v 2)))) |
#s(approx (/ H (pow v 2)) #s(hole binary64 (/ H (pow v 2)))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 1)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ 1 v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole 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)))))) v))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ 1 (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 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)))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (+ 1 (* -98/5 (/ H (pow v 2)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 -1)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ -1 v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -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)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))))) |
#s(approx H #s(hole binary64 H)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -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))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -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)))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -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))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -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))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* 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))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* 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)))))))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (* H (- (/ 1 H) (* 98/5 (/ 1 (pow v 2))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole 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))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole 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))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (* -1 (* H (- (* 98/5 (/ 1 (pow v 2))) (/ 1 H)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | H | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) -98/5 H (pow v 2) 2 (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)) (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (+ 1 (* -98/5 (/ H (pow v 2)))) (* -98/5 (/ H (pow v 2))) (/ H (pow v 2))) |
| 4.0ms | v | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) -98/5 H (pow v 2) 2 (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)) (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (+ 1 (* -98/5 (/ H (pow v 2)))) (* -98/5 (/ H (pow v 2))) (/ H (pow v 2))) |
| 3.0ms | H | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) -98/5 H (pow v 2) 2 (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)) (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (+ 1 (* -98/5 (/ H (pow v 2)))) (* -98/5 (/ H (pow v 2))) (/ H (pow v 2))) |
| 2.0ms | v | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) -98/5 H (pow v 2) 2 (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)) (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (+ 1 (* -98/5 (/ H (pow v 2)))) (* -98/5 (/ H (pow v 2))) (/ H (pow v 2))) |
| 2.0ms | H | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) -98/5 H (pow v 2) 2 (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)) (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (+ 1 (* -98/5 (/ H (pow v 2)))) (* -98/5 (/ H (pow v 2))) (/ H (pow v 2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 595 | 3746 |
| 0 | 618 | 3630 |
| 1 | 1625 | 3630 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))) |
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))) |
v |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))) |
#s(literal -98/5 binary64) |
H |
(pow.f64 v #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) |
(*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) |
(/.f64 H (pow.f64 v #s(literal 2 binary64))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* 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)))))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* 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)))))))))))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (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))))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (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))))))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ -5/98 H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (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))))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -98/5 H))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (pow v 2) #s(hole binary64 (pow v 2))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H)))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (* -98/5 (/ H (pow v 2))))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) (pow v 2)))) |
#s(approx (/ H (pow v 2)) #s(hole binary64 (/ H (pow v 2)))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 1)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ 1 v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole 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)))))) v))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ 1 (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 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)))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (+ 1 (* -98/5 (/ H (pow v 2)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 -1)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ -1 v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -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)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))))) |
#s(approx H #s(hole binary64 H)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -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))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -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)))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -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))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -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))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* 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))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* 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)))))))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (* H (- (/ 1 H) (* 98/5 (/ 1 (pow v 2))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole 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))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole 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))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole 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)))))))))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (* -1 (* H (- (* 98/5 (/ 1 (pow v 2))) (/ 1 H)))))) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))) |
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))) |
v |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (pow.f64 v #s(literal 2 binary64))) |
#s(literal -98/5 binary64) |
H |
(pow.f64 v #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) |
(*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) |
(/.f64 H (pow.f64 v #s(literal 2 binary64))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H))))))) |
#s(approx (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 v (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/19208 binary64) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 H (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 625/92236816 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))))))))))) |
#s(approx v v) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/19208 binary64) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 H (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 625/92236816 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))))))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 3 binary64)))) (*.f64 #s(literal 25/9604 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 2 binary64)))))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 4 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 #s(literal 25/9604 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 2 binary64)))))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))) |
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)) |
#s(approx (+ (* -98/5 H) (pow v 2)) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (pow v 2) (pow.f64 v #s(literal 2 binary64))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (-.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))) (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (/ H (pow v 2)) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(literal 1 binary64)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 #s(literal 1 binary64) v)) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) v)) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) v)) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) v)) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 9604/25 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 941192/125 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(literal -1 binary64)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))))) #s(literal 1 binary64))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 #s(literal -1 binary64) v)) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) v))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) v)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 7203/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 7 binary64))) (*.f64 #s(literal 7203/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 5 binary64))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) v))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (fma.f64 #s(literal 98/5 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (fma.f64 H (fma.f64 #s(literal 9604/25 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (fma.f64 H (fma.f64 H (fma.f64 #s(literal 941192/125 binary64) (/.f64 H (pow.f64 v #s(literal 8 binary64))) (*.f64 #s(literal 9604/25 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))) (*.f64 #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) |
#s(approx H H) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 H (-.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H (pow.f64 v #s(literal 3 binary64)))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 H (-.f64 (*.f64 H (-.f64 (*.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64)))) (*.f64 #s(literal 2401/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64)))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 v (fma.f64 #s(literal 625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H)) #s(literal 5/98 binary64)) H)) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (*.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 H #s(literal 2 binary64)))) (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal 25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H)))) H)) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (*.f64 #s(literal -625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 H #s(literal 3 binary64)))) (+.f64 #s(literal 5/98 binary64) (fma.f64 #s(literal 125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 H #s(literal 2 binary64))) (*.f64 #s(literal 25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H))))) H)) |
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) (*.f64 H (-.f64 (/.f64 #s(literal 1 binary64) H) (*.f64 #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 125/1882384 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (pow.f64 H #s(literal 3 binary64))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 125/1882384 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (pow.f64 H #s(literal 3 binary64))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal 25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H))) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) H)) (*.f64 #s(literal 25/9604 binary64) (pow.f64 v #s(literal 2 binary64)))) H))) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) H)) (*.f64 #s(literal -125/941192 binary64) (pow.f64 v #s(literal 4 binary64)))) H)) (*.f64 #s(literal 25/9604 binary64) (pow.f64 v #s(literal 2 binary64)))) H))) H))) |
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -1 binary64) (*.f64 H (+.f64 #s(literal 98/5 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))))))) |
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) (*.f64 #s(literal -1 binary64) (*.f64 H (-.f64 (*.f64 #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) H))))) |
Compiled 2 192 to 861 computations (60.7% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 2 | 100 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 5 | 5 |
| Total | 100 | 7 | 107 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 65.1% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))) |
| ✓ | 37.9% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| ✓ | 73.1% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))) |
| ✓ | 69.5% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 1.8% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ▶ | 37.8% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))))) |
| ▶ | 37.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))))) |
Compiled 113 to 113 computations (0% saved)
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))) |
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))) |
v |
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
#s(literal -5/98 binary64) |
H |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))) |
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(literal 1 binary64) |
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* 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)))))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* 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)))))))))))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (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))))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (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))))))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ -5/98 H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (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))))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -98/5 H))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 1)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ 1 v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole 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)))))) v))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ 1 (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 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)))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (pow v 2))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 -1)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ -1 v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -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)))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))))) |
#s(approx H #s(hole binary64 H)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -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))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -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)))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -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))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -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))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole 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))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole 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))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 68.0ms | H | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (/ -5/98 H) -5/98 H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5) |
| 1.0ms | H | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (/ -5/98 H) -5/98 H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5) |
| 1.0ms | v | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (/ -5/98 H) -5/98 H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5) |
| 1.0ms | v | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (/ -5/98 H) -5/98 H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5) |
| 1.0ms | H | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (/ -5/98 H) -5/98 H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 453 | 2885 |
| 0 | 460 | 2714 |
| 1 | 1233 | 2714 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))) |
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))) |
v |
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
#s(literal -5/98 binary64) |
H |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))) |
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(literal 1 binary64) |
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* 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)))))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* 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)))))))))))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (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))))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (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))))))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ -5/98 H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (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))))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -98/5 H))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 1)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ 1 v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole 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)))))) v))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ 1 (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 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)))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (pow v 2))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 -1)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ -1 v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -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)))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))))) |
#s(approx H #s(hole binary64 H)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -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))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -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)))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -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))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -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))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole 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)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole 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))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole 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))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))) |
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))) |
v |
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
#s(literal -5/98 binary64) |
H |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))) |
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(literal 1 binary64) |
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H))))))) |
#s(approx (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 v (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/19208 binary64) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 H (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 625/92236816 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))))))))))) |
#s(approx v v) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/19208 binary64) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 H (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 625/92236816 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))))))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 3 binary64)))) (*.f64 #s(literal 25/9604 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 2 binary64)))))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 4 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 #s(literal 25/9604 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 2 binary64)))))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))) |
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)) |
#s(approx (+ (* -98/5 H) (pow v 2)) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(literal 1 binary64)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 #s(literal 1 binary64) v)) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) v)) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) v)) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) v)) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 9604/25 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 941192/125 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64)))) |
#s(approx (+ (* -98/5 H) (pow v 2)) (pow.f64 v #s(literal 2 binary64))) |
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(literal -1 binary64)) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))))) #s(literal 1 binary64))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 #s(literal -1 binary64) v)) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) v))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 7203/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 7 binary64))) (*.f64 #s(literal 7203/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 5 binary64))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) v))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (fma.f64 #s(literal 98/5 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (fma.f64 H (fma.f64 #s(literal 9604/25 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (fma.f64 H (fma.f64 H (fma.f64 #s(literal 941192/125 binary64) (/.f64 H (pow.f64 v #s(literal 8 binary64))) (*.f64 #s(literal 9604/25 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))) (*.f64 #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) |
#s(approx H H) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 v (fma.f64 #s(literal 625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H)) #s(literal 5/98 binary64)) H)) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (*.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 H #s(literal 2 binary64)))) (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal 25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H)))) H)) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (*.f64 #s(literal -625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 H #s(literal 3 binary64)))) (+.f64 #s(literal 5/98 binary64) (fma.f64 #s(literal 125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 H #s(literal 2 binary64))) (*.f64 #s(literal 25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H))))) H)) |
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))) |
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 125/1882384 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (pow.f64 H #s(literal 3 binary64))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 125/1882384 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (pow.f64 H #s(literal 3 binary64))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal 25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H))) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) H)) (*.f64 #s(literal 25/9604 binary64) (pow.f64 v #s(literal 2 binary64)))) H))) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) H)) (*.f64 #s(literal -125/941192 binary64) (pow.f64 v #s(literal 4 binary64)))) H)) (*.f64 #s(literal 25/9604 binary64) (pow.f64 v #s(literal 2 binary64)))) H))) H))) |
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -1 binary64) (*.f64 H (+.f64 #s(literal 98/5 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H)))))) |
Compiled 1 580 to 627 computations (60.3% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 0 | 69 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 5 | 5 |
| Total | 69 | 7 | 76 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 65.1% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))) |
| ✓ | 37.9% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| ✓ | 73.1% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))) |
| ✓ | 69.5% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 1.8% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ✓ | 37.8% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))))) |
| ✓ | 37.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))))) |
Compiled 224 to 192 computations (14.3% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))) |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.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:
| 6.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 3.0ms | H |
| 3.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 3.0ms | v |
| 3.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 2 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 99.5% | 2 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 99.5% | 2 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 99.9% | 2 | v |
| 84.1% | 2 | H |
Compiled 28 to 31 computations (-10.7% 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))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))) |
| Outputs |
|---|
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 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))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))) |
3 calls:
| 2.0ms | v |
| 2.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 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 |
|---|---|---|
| 99.3% | 3 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 99.3% | 3 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 89.5% | 2 | v |
Compiled 22 to 23 computations (-4.5% 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))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #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 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
2 calls:
| 5.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 2.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 3 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 96.7% | 3 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
Compiled 21 to 21 computations (0% 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))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
2 calls:
| 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 |
|---|---|---|
| 96.7% | 3 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 96.7% | 3 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
Compiled 21 to 21 computations (0% 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))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
5 calls:
| 1.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 1.0ms | H |
| 1.0ms | v |
| 1.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 1.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.5% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 69.5% | 1 | H |
| 69.5% | 1 | v |
| 69.5% | 1 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 69.5% | 1 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
Compiled 28 to 31 computations (-10.7% 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:
| 9.0ms | H |
| 1.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 1.0ms | v |
| 1.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 1.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.8% | 1 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 1.8% | 1 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 1.8% | 1 | v |
| 1.8% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 1.8% | 1 | H |
Compiled 28 to 31 computations (-10.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.6171120657170375e+87 | 2.376348479400362e+87 |
| 4.0ms | 64× | 0 | valid |
| 0.0ms | 5× | 0 | invalid |
Compiled 104 to 112 computations (-7.7% saved)
ival-sqrt: 1.0ms (43% of total)ival-mult!: 1.0ms (43% of total)ival-atan: 1.0ms (43% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.398601283559402e-8 | 0.658739187829315 |
| 0.0ms | 0.0 | 1.2e-322 |
Compiled 14 to 16 computations (-14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.398601283559402e-8 | 0.658739187829315 |
| 0.0ms | 0.0 | 1.2e-322 |
Compiled 14 to 16 computations (-14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.398601283559402e-8 | 0.658739187829315 |
| 0.0ms | 0.0 | 1.2e-322 |
Compiled 14 to 16 computations (-14.3% saved)
| 1× | done |
Compiled 101 to 71 computations (29.7% saved)
(negabs v)
Compiled 464 to 406 computations (12.5% saved)
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