
Time bar (total: 2.2s)
| 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)
| 799.0ms | 8 256× | 0 | valid |
| 8.0ms | 104× | 0 | invalid |
ival-mult: 195.0ms (34.5% of total)const: 113.0ms (20% of total)ival-atan: 80.0ms (14.1% of total)ival-div: 63.0ms (11.1% of total)ival-sqrt: 59.0ms (10.4% of total)ival-sub: 44.0ms (7.8% of total)exact: 6.0ms (1.1% of total)adjust: 3.0ms (0.5% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 92 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
| 0 | 0 | - | 0 | - | (*.f64 v v) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
| 0 | 0 | - | 0 | - | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
| 0 | 0 | - | 0 | - | H |
| 0 | 0 | - | 0 | - | #s(literal 49/5 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) | oflow-rescue | 92 | 0 |
| ↳ | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | overflow | 92 | |
| ↳ | (*.f64 v v) | overflow | 92 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 92 | 2 |
| - | 0 | 162 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 92 | 0 | 2 |
| - | 0 | 0 | 162 |
| number | freq |
|---|---|
| 0 | 164 |
| 1 | 92 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 504× | 0 | valid |
| 15.0ms | 8× | 5 | exit |
Compiled 135 to 37 computations (72.6% saved)
const: 18.0ms (38.1% of total)ival-mult: 11.0ms (23.3% of total)ival-atan: 5.0ms (10.6% of total)ival-div: 4.0ms (8.5% of total)ival-sqrt: 4.0ms (8.5% of total)ival-sub: 3.0ms (6.3% of total)adjust: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 72 |
| 1 | 70 | 70 |
| 2 | 165 | 70 |
| 3 | 446 | 70 |
| 4 | 1087 | 70 |
| 5 | 2518 | 70 |
| 6 | 7175 | 70 |
| 0 | 11 | 11 |
| 0 | 19 | 11 |
| 1 | 30 | 11 |
| 2 | 53 | 11 |
| 3 | 100 | 11 |
| 4 | 149 | 11 |
| 5 | 229 | 11 |
| 6 | 686 | 11 |
| 7 | 4804 | 11 |
| 0 | 8535 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
Compiled 13 to 11 computations (15.4% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.3% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
Compiled 13 to 11 computations (15.4% saved)
| 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)) |
#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))) |
#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 | |
|---|---|---|---|---|
| 4.0ms | 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) |
| 3.0ms | 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 | 392 | 2022 |
| 0 | 403 | 1823 |
| 0 | 2118 | 1696 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 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)) |
#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))) |
#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 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
v |
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 #s(literal 98/5 binary64) H))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))) |
(/.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 #s(literal 98/5 binary64) H) (*.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))) |
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)) |
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)) |
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64))) |
(*.f64 (neg.f64 v) (neg.f64 v)) |
(*.f64 (fabs.f64 v) (fabs.f64 v)) |
(*.f64 v v) |
(pow.f64 v #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) |
(*.f64 #s(literal 98/5 binary64) H) |
(*.f64 H #s(literal 98/5 binary64)) |
#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 H #s(literal -4 binary64)) #s(literal 625/92236816 binary64) (/.f64 (*.f64 #s(literal 25/19208 binary64) (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)))) (*.f64 #s(literal -5/98 binary64) H))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (*.f64 (/.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)) |
#s(approx v v) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -1 binary64)))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 v v) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -3 binary64)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
#s(approx (* v v) (*.f64 v v)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) v) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) v)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64)) v)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal 1 binary64)) v)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 v v)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))) |
#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 (*.f64 v v))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 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 (*.f64 v v)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 v)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (+.f64 (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (+.f64 (fma.f64 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal 1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) #s(literal 7203/50 binary64))) H #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 7203/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64))) H (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64))) H #s(literal 1 binary64))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (*.f64 (/.f64 H (pow.f64 v #s(literal 3 binary64))) #s(literal -2401/50 binary64)) (/.f64 #s(literal 49/5 binary64) v)) H v)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (*.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal -3 binary64)))) H) (/.f64 #s(literal 49/5 binary64) v)) H v)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
#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 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H)) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H)) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H))) |
Compiled 2 395 to 544 computations (77.3% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 83 | 5 | 88 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 83 | 6 | 89 |
| Status | Accuracy | Program |
|---|---|---|
| 21.7% | (atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 #s(literal 98/5 binary64) H) (*.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))))) | |
| ✓ | 64.3% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 39.6% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))))) | |
| 36.5% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) | |
| 39.1% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) | |
| ▶ | 64.2% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
Compiled 275 to 191 computations (30.5% saved)
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
#s(literal 1 binary64) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
| 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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -98/5 H))) |
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 v)) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v)) #s(hole binary64 (pow v 2))) |
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 v))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* -49/5 (/ H v))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #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 (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v)) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | H | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v) |
| 1.0ms | H | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v) |
| 1.0ms | v | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v) |
| 1.0ms | v | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v) |
| 1.0ms | v | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 3027 |
| 0 | 480 | 2694 |
| 0 | 2522 | 2589 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
#s(literal 1 binary64) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
#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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -98/5 H))) |
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 v)) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v)) #s(hole binary64 (pow v 2))) |
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 v))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* -49/5 (/ H v))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #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 (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v)) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v))) #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 (+ (* -98/5 H) (* v v)) #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 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) v))) |
(atan.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) v)) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) v) |
(*.f64 v (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))) |
(/.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal 3 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal 98/5 binary64)) (*.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))) |
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 (neg.f64 v) v)) |
(-.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))) |
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)) |
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) |
#s(literal -98/5 binary64) |
H |
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64))) |
(*.f64 (neg.f64 v) (neg.f64 v)) |
(*.f64 (fabs.f64 v) (fabs.f64 v)) |
(*.f64 v v) |
(pow.f64 v #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) |
v |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) v))) |
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) v))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 H #s(literal -4 binary64)) #s(literal 625/92236816 binary64) (/.f64 (*.f64 #s(literal 25/19208 binary64) (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)))) (*.f64 #s(literal -5/98 binary64) H))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (*.f64 (/.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 H #s(literal -4 binary64)) #s(literal 625/92236816 binary64) (/.f64 (*.f64 #s(literal 25/19208 binary64) (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)))) (*.f64 #s(literal -5/98 binary64) H))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (*.f64 (/.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 v v) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -3 binary64)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)) |
#s(approx (+ (* -98/5 H) (* v v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
#s(approx (* v v) (*.f64 v v)) |
#s(approx v v) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(literal 1 binary64)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (pow.f64 v #s(literal -1 binary64))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v)) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) v)) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v)) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) v) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (*.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) v)) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64)) v)) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal 1 binary64)) v)) |
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 v v)) |
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(literal -1 binary64)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1 binary64))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 #s(literal -1 binary64) v)) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (neg.f64 v)) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (*.f64 (neg.f64 v) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (*.f64 (neg.f64 v) (+.f64 (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (*.f64 (neg.f64 v) (+.f64 (fma.f64 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal 1 binary64)))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) #s(literal 7203/50 binary64))) H #s(literal 1 binary64))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 7203/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64))) H (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64))) H #s(literal 1 binary64))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (/.f64 H (pow.f64 v #s(literal 3 binary64))) #s(literal 49/5 binary64) (pow.f64 v #s(literal -1 binary64)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (pow.f64 v #s(literal -3 binary64)) #s(literal 49/5 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal 7203/50 binary64))) H (pow.f64 v #s(literal -1 binary64)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -5 binary64)) #s(literal 7203/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 7 binary64))) #s(literal 117649/50 binary64))) H (*.f64 (pow.f64 v #s(literal -3 binary64)) #s(literal 49/5 binary64))) H (pow.f64 v #s(literal -1 binary64)))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (fma.f64 (-.f64 (*.f64 (/.f64 H (pow.f64 v #s(literal 3 binary64))) #s(literal -2401/50 binary64)) (/.f64 #s(literal 49/5 binary64) v)) H v)) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (*.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal -3 binary64)))) H) (/.f64 #s(literal 49/5 binary64) v)) H v)) |
#s(approx H H) |
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) v))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H)) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H)) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H)) |
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H)) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) v))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H))) |
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H))) |
#s(approx (+ (* -98/5 H) (* v v)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H))) |
Compiled 4 883 to 800 computations (83.6% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 110 | 2 | 112 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 112 | 6 | 118 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 64.3% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 36.5% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) | |
| 39.1% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) | |
| 64.3% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v))) | |
| ✓ | 64.2% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
| ▶ | 43.1% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))) |
Compiled 145 to 112 computations (22.8% saved)
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))) |
(atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)) |
(*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))) |
(*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)) |
(pow.f64 H #s(literal -1 binary64)) |
H |
#s(literal -1 binary64) |
#s(literal -5/98 binary64) |
v |
| 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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 v #s(hole binary64 v)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (* (pow H -1) -5/98) #s(hole binary64 (/ -5/98 H))) |
#s(approx (pow H -1) #s(hole binary64 (/ 1 H))) |
#s(approx H #s(hole binary64 H)) |
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | H | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v) |
| 1.0ms | H | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v) |
| 1.0ms | H | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v) |
| 1.0ms | v | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v) |
| 1.0ms | v | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 332 | 2265 |
| 0 | 339 | 2014 |
| 0 | 1721 | 1885 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))) |
(atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)) |
(*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))) |
(*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)) |
(pow.f64 H #s(literal -1 binary64)) |
H |
#s(literal -1 binary64) |
#s(literal -5/98 binary64) |
v |
#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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 v #s(hole binary64 v)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (* (pow H -1) -5/98) #s(hole binary64 (/ -5/98 H))) |
#s(approx (pow H -1) #s(hole binary64 (/ 1 H))) |
#s(approx H #s(hole binary64 H)) |
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #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 (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v))) |
(atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v)) |
(*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v) |
(*.f64 v #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) |
(*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) (sqrt.f64 #s(literal -5/98 binary64))) |
(pow.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))) |
(*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))) |
(*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)) |
(*.f64 (pow.f64 H #s(literal -1/2 binary64)) (pow.f64 H #s(literal -1/2 binary64))) |
(pow.f64 H #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 H)) |
(/.f64 #s(literal 1 binary64) H) |
(exp.f64 (*.f64 (log.f64 H) #s(literal -1 binary64))) |
H |
#s(literal -1 binary64) |
#s(literal -5/98 binary64) |
v |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 H #s(literal -4 binary64)) #s(literal 625/92236816 binary64) (/.f64 (*.f64 #s(literal 25/19208 binary64) (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)))) (*.f64 #s(literal -5/98 binary64) H))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (*.f64 (/.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v)) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 H #s(literal -4 binary64)) #s(literal 625/92236816 binary64) (/.f64 (*.f64 #s(literal 25/19208 binary64) (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)))) (*.f64 #s(literal -5/98 binary64) H))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (*.f64 (/.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))) |
#s(approx v v) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(literal 1 binary64)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (pow.f64 v #s(literal -1 binary64))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v)) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) v)) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(literal -1 binary64)) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 #s(literal -1 binary64) v)) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) v))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) #s(literal 7203/50 binary64))) H #s(literal 1 binary64))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 7203/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64))) H (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64))) H #s(literal 1 binary64))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (/.f64 H (pow.f64 v #s(literal 3 binary64))) #s(literal 49/5 binary64) (pow.f64 v #s(literal -1 binary64)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (pow.f64 v #s(literal -3 binary64)) #s(literal 49/5 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal 7203/50 binary64))) H (pow.f64 v #s(literal -1 binary64)))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -5 binary64)) #s(literal 7203/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 7 binary64))) #s(literal 117649/50 binary64))) H (*.f64 (pow.f64 v #s(literal -3 binary64)) #s(literal 49/5 binary64))) H (pow.f64 v #s(literal -1 binary64)))) |
#s(approx (sqrt (* (pow H -1) -5/98)) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) |
#s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)) |
#s(approx (pow H -1) (pow.f64 H #s(literal -1 binary64))) |
#s(approx H H) |
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))))) |
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))))) |
#s(approx (sqrt (* (pow H -1) -5/98)) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) |
Compiled 3 232 to 463 computations (85.7% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 67 | 0 | 67 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 67 | 6 | 73 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 64.3% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 36.5% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) | |
| 39.1% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) | |
| ▶ | 64.3% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v))) |
| ✓ | 64.2% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
| ✓ | 43.1% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))) |
Compiled 145 to 112 computations (22.8% saved)
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v))) |
(atan.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
#s(literal 1/2 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ -5/98 H))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #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 (pow (+ (* -98/5 H) (* v v)) -1) #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) (* v v)) #s(hole binary64 (* -98/5 H))) |
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 1)) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (/ 1 v))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ 1 (pow v 2)))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #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) (* v v)) #s(hole binary64 (pow v 2))) |
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 -1)) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (/ -1 v))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v)))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #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 (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #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) (* v v)) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #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) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | H | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 1/2) |
| 1.0ms | v | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 1/2) |
| 1.0ms | v | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 1/2) |
| 1.0ms | v | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 1/2) |
| 1.0ms | H | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 455 | 2803 |
| 0 | 465 | 2415 |
| 0 | 2469 | 2322 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v))) |
(atan.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
#s(literal 1/2 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ -5/98 H))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #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 (pow (+ (* -98/5 H) (* v v)) -1) #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) (* v v)) #s(hole binary64 (* -98/5 H))) |
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 1)) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (/ 1 v))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ 1 (pow v 2)))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #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) (* v v)) #s(hole binary64 (pow v 2))) |
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 -1)) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (/ -1 v))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v)))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #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 (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #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) (* v v)) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #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) (* v v)) #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 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v))) |
(atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v)) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v) |
(*.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))) |
(/.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal 3 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal 98/5 binary64)) (*.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))) |
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 (neg.f64 v) v)) |
(-.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))) |
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)) |
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) |
#s(literal -98/5 binary64) |
H |
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64))) |
(*.f64 (neg.f64 v) (neg.f64 v)) |
(*.f64 (fabs.f64 v) (fabs.f64 v)) |
(*.f64 v v) |
(pow.f64 v #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) |
v |
#s(literal -1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v))) |
#s(approx (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (*.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 H #s(literal -4 binary64)) #s(literal 625/92236816 binary64) (/.f64 (*.f64 #s(literal 25/19208 binary64) (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)))) (*.f64 #s(literal -5/98 binary64) H))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (*.f64 (/.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 H #s(literal -4 binary64)) #s(literal 625/92236816 binary64) (/.f64 (*.f64 #s(literal 25/19208 binary64) (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)))) (*.f64 #s(literal -5/98 binary64) H))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (*.f64 (/.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 #s(literal -5/98 binary64) H)) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (-.f64 (/.f64 (*.f64 #s(literal -25/9604 binary64) (*.f64 v v)) (*.f64 H H)) (/.f64 #s(literal 5/98 binary64) H))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 v v) (pow.f64 H #s(literal 3 binary64))) #s(literal -125/941192 binary64) (*.f64 #s(literal -25/9604 binary64) (pow.f64 H #s(literal -2 binary64)))) (*.f64 v v)) (/.f64 #s(literal 5/98 binary64) H))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (-.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 v v) (pow.f64 H #s(literal 4 binary64))) #s(literal -625/92236816 binary64) (*.f64 #s(literal -125/941192 binary64) (pow.f64 H #s(literal -3 binary64)))) (*.f64 v v) (*.f64 #s(literal -25/9604 binary64) (pow.f64 H #s(literal -2 binary64)))) (*.f64 v v)) (/.f64 #s(literal 5/98 binary64) H))) |
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)) |
#s(approx (+ (* -98/5 H) (* v v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
#s(approx (* v v) (*.f64 v v)) |
#s(approx v v) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(literal 1 binary64)) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (pow.f64 v #s(literal -1 binary64))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v)) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) v)) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v)) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (pow.f64 v #s(literal -2 binary64))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal 9604/25 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal 941192/125 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -9604/25 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) (*.f64 v v))) |
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 v v)) |
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(literal -1 binary64)) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1 binary64))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (/.f64 #s(literal -1 binary64) v)) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (neg.f64 (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) v))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) #s(literal 7203/50 binary64) (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64))) H #s(literal 1 binary64))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 7203/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64))) H (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64))) H #s(literal 1 binary64))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (/.f64 H (pow.f64 v #s(literal 3 binary64))) #s(literal 49/5 binary64) (pow.f64 v #s(literal -1 binary64)))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (fma.f64 (pow.f64 v #s(literal -3 binary64)) #s(literal 49/5 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal 7203/50 binary64))) H (pow.f64 v #s(literal -1 binary64)))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -5 binary64)) #s(literal 7203/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 7 binary64))) #s(literal 117649/50 binary64))) H (*.f64 (pow.f64 v #s(literal -3 binary64)) #s(literal 49/5 binary64))) H (pow.f64 v #s(literal -1 binary64)))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (fma.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) #s(literal 98/5 binary64) (pow.f64 v #s(literal -2 binary64)))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (fma.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 98/5 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 9604/25 binary64))) H (pow.f64 v #s(literal -2 binary64)))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -6 binary64)) #s(literal 9604/25 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 8 binary64))) #s(literal 941192/125 binary64))) H (*.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 98/5 binary64))) H (pow.f64 v #s(literal -2 binary64)))) |
#s(approx H H) |
#s(approx (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64)) #s(literal 5/98 binary64)) H)) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -125/941192 binary64)) (*.f64 H H)) (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64))) H)) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 H #s(literal 3 binary64))) (+.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 H H)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64))) #s(literal 5/98 binary64))) H)) |
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H)) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))))) |
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))) |
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64)) H))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64) (*.f64 #s(literal -25/9604 binary64) (*.f64 v v))) H) #s(literal -1 binary64) #s(literal 5/98 binary64)) H))) |
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64) (*.f64 #s(literal 125/941192 binary64) (pow.f64 v #s(literal 4 binary64)))) H) #s(literal -1 binary64) (*.f64 #s(literal -25/9604 binary64) (*.f64 v v))) H) #s(literal -1 binary64) #s(literal 5/98 binary64)) H))) |
#s(approx (+ (* -98/5 H) (* v v)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H))) |
Compiled 4 773 to 795 computations (83.3% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 110 | 1 | 111 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 111 | 6 | 117 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 64.3% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 36.5% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) | |
| 39.1% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) | |
| ✓ | 64.2% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
| 64.1% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) v))) | |
| ✓ | 43.1% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))) |
Compiled 399 to 283 computations (29.1% saved)
| 1× | fuel |
Compiled 13 to 11 computations (15.4% saved)
Compiled 52 to 44 computations (15.4% saved)
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