
Time bar (total: 4.9s)
| 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)
| 1.1s | 8 255× | 0 | valid |
| 8.0ms | 102× | 0 | invalid |
| 0.0ms | 1× | 1 | valid |
ival-mult: 267.0ms (31.9% of total)const: 218.0ms (26.1% of total)ival-atan: 109.0ms (13% of total)ival-sqrt: 97.0ms (11.6% of total)ival-div: 65.0ms (7.8% of total)ival-sub: 61.0ms (7.3% of total)ival-true: 6.0ms (0.7% of total)exact: 5.0ms (0.6% of total)ival-assert: 4.0ms (0.5% of total)adjust: 2.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 94 | 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 | 94 | 0 |
| ↳ | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | overflow | 94 | |
| ↳ | (*.f64 v v) | overflow | 93 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 94 | 1 |
| - | 0 | 161 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 94 | 0 | 1 |
| - | 0 | 0 | 161 |
| number | freq |
|---|---|
| 0 | 162 |
| 1 | 94 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 47.0ms | 506× | 0 | valid |
| 3.0ms | 6× | 5 | exit |
Compiled 135 to 37 computations (72.6% saved)
ival-mult: 10.0ms (29.6% of total)const: 8.0ms (23.7% of total)ival-atan: 5.0ms (14.8% of total)ival-div: 4.0ms (11.9% of total)ival-sqrt: 4.0ms (11.9% of total)ival-sub: 2.0ms (5.9% of total)adjust: 1.0ms (3% 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 |
|---|---|---|
| ▶ | 63.9% | (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)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) | |
| cost-diff | 1 | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | |
| cost-diff | 2 | (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 0 | 19 | 47 |
| 1 | 30 | 47 |
| 2 | 53 | 47 |
| 3 | 100 | 47 |
| 4 | 149 | 47 |
| 5 | 229 | 47 |
| 6 | 686 | 47 |
| 7 | 4804 | 47 |
| 0 | 8535 | 43 |
| 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 |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
v |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(*.f64 v v) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
(*.f64 H #s(literal 98/5 binary64)) |
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
#s(literal 98/5 binary64) |
#s(literal 2 binary64) |
#s(literal 49/5 binary64) |
H |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) | |
| accuracy | 0.046875 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) | |
| accuracy | 0.453125 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) | |
| accuracy | 21.827886317307755 | (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
| 50.0ms | 253× | 0 | valid |
| 2.0ms | 3× | 5 | exit |
Compiled 61 to 13 computations (78.7% saved)
const: 30.0ms (69.3% of total)ival-mult: 5.0ms (11.5% of total)ival-atan: 3.0ms (6.9% of total)ival-div: 2.0ms (4.6% of total)ival-sqrt: 2.0ms (4.6% of total)ival-sub: 1.0ms (2.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| Outputs |
|---|
#s(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 (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 (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (pow v 2))) |
#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 (+ 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 (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 v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 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 (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#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 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
#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)))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | v | @ | inf | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 4.0ms | H | @ | -inf | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 3.0ms | v | @ | 0 | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 3.0ms | H | @ | inf | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 1.0ms | v | @ | -inf | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 1883 |
| 1 | 1100 | 1838 |
| 2 | 5032 | 1801 |
| 0 | 8044 | 1667 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (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 (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (pow v 2))) |
#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 (+ 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 (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 v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 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 (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#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 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
#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)))))))))) |
| Outputs |
|---|
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H)))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 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 (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
#s(approx (/ 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)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
#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)))) (*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)) |
#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)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) v) v) (sqrt.f64 H)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)) |
#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 (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (*.f64 v v) (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)) |
#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))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) |
#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))) (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))) |
#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))) (fma.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) (/.f64 (*.f64 v v) #s(literal -98/5 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))) |
#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 (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -5/98 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (pow v 2))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 v v)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)) |
#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(literal 1 binary64)) |
#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)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
#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))) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
#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 (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 0 | 19 | 40 |
| 1 | 48 | 40 |
| 0 | 278 | 36 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| Outputs |
|---|
#s(literal 98/5 binary64) |
(/.f64 (+.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64))) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) |
(/.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (pow.f64 v #s(literal 1 binary64)) v (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (pow.f64 v #s(literal 1 binary64)) v (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
(fma.f64 v v (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) |
(-.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(-.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 (neg.f64 H) #s(literal 98/5 binary64))) |
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (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)))) |
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(neg.f64 (/.f64 v (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) |
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(sqrt.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 1/2 binary64))) |
(*.f64 H #s(literal 98/5 binary64)) |
(*.f64 #s(literal 98/5 binary64) H) |
Compiled 2 560 to 578 computations (77.4% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 84 | 10 | 94 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 85 | 10 | 95 |
| Status | Accuracy | Program |
|---|---|---|
| 63.7% | (atan.f64 (/.f64 v (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))))) | |
| ▶ | 63.9% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| ▶ | 51.4% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
| ▶ | 34.5% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| 33.0% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))) | |
| 39.9% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) | |
| ▶ | 35.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
| 39.6% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) | |
| ▶ | 35.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| 63.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
Compiled 414 to 312 computations (24.6% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) | |
| cost-diff | 2 | (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) | |
| cost-diff | 4 | (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) | |
| cost-diff | 0 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) | |
| cost-diff | 0 | (/.f64 H (*.f64 v v)) | |
| cost-diff | 0 | (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 311 |
| 0 | 59 | 293 |
| 1 | 87 | 293 |
| 2 | 186 | 293 |
| 3 | 558 | 293 |
| 4 | 2352 | 266 |
| 0 | 8637 | 265 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) |
v |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
#s(literal -49/5 binary64) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)) |
(*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
#s(literal -98/5 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) |
v |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 H #s(literal -98/5 binary64)) |
#s(literal -98/5 binary64) |
H |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) |
#s(literal -49/5 binary64) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 H #s(literal -98/5 binary64)) |
#s(literal -98/5 binary64) |
H |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) |
(*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) |
(fma.f64 (/.f64 #s(literal -98/5 binary64) v) H v) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
#s(literal -98/5 binary64) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.628062873496724 | (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) | |
| accuracy | 6.151494520360962 | (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) | |
| accuracy | 8.601753704691037 | (/.f64 H (*.f64 v v)) | |
| accuracy | 21.827886317307755 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) | |
| accuracy | 0.046875 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) | |
| accuracy | 0.453125 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 21.827886317307755 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| accuracy | 44.283766191165434 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) | |
| accuracy | 0.046875 | (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) | |
| accuracy | 8.601753704691037 | (/.f64 H (*.f64 v v)) | |
| accuracy | 41.325405174996064 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) | |
| accuracy | 41.07655615824862 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) | |
| accuracy | 0.046875 | (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) | |
| accuracy | 0.453125 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 21.827886317307755 | (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
| 87.0ms | 253× | 0 | valid |
| 3.0ms | 3× | 5 | exit |
Compiled 255 to 29 computations (88.6% saved)
ival-mult: 33.0ms (44.8% of total)ival-div: 17.0ms (23.1% of total)const: 10.0ms (13.6% of total)ival-atan: 5.0ms (6.8% of total)ival-sqrt: 3.0ms (4.1% of total)ival-add: 3.0ms (4.1% of total)adjust: 1.0ms (1.4% of total)ival-sub: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
(/.f64 H (*.f64 v v)) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) |
(*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) |
(*.f64 #s(literal -98/5 binary64) H) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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 (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* -98/5 H))) |
#s(approx (+ (* v v) (* -98/5 H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -49/5 (/ H (pow v 2))))) |
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)))) |
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H)))) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* -98/5 (/ H v)))) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) v))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* -98/5 H))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 1)) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 v)) |
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))) |
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (pow v 2))) |
#s(approx (+ (* v v) (* -98/5 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 (+ 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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 -1)) |
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#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 (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 v)) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* v (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (pow v 2))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 -1)) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (* -1 v))) |
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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)) |
#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 (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (+ v (* -49/5 (/ H v))))) |
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))) |
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))))) |
#s(approx (/ v (sqrt (- (* 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 (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (+ v (* -98/5 (/ H v))))) |
#s(approx (* -98/5 H) #s(hole binary64 (* -98/5 H))) |
#s(approx (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))) |
#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 (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* H (- (/ v H) (* 98/5 (/ 1 v)))))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))))) |
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
#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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))) |
#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))))))) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | v | @ | 0 | ((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* -98/5 H) (sqrt (- (* v v) (* (* 2 49/5) H)))) |
| 5.0ms | H | @ | inf | ((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* -98/5 H) (sqrt (- (* v v) (* (* 2 49/5) H)))) |
| 3.0ms | H | @ | -inf | ((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* -98/5 H) (sqrt (- (* v v) (* (* 2 49/5) H)))) |
| 2.0ms | v | @ | inf | ((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* -98/5 H) (sqrt (- (* v v) (* (* 2 49/5) H)))) |
| 2.0ms | v | @ | -inf | ((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* -98/5 H) (sqrt (- (* v v) (* (* 2 49/5) H)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 491 | 4151 |
| 1 | 1292 | 4060 |
| 2 | 5565 | 3988 |
| 0 | 8600 | 3689 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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 (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* -98/5 H))) |
#s(approx (+ (* v v) (* -98/5 H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -49/5 (/ H (pow v 2))))) |
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)))) |
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H)))) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* -98/5 (/ H v)))) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) v))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* -98/5 H))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 1)) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 v)) |
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))) |
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (pow v 2))) |
#s(approx (+ (* v v) (* -98/5 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 (+ 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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 -1)) |
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#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 (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 v)) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* v (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (pow v 2))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 -1)) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (* -1 v))) |
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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)) |
#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 (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (+ v (* -49/5 (/ H v))))) |
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))) |
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))))) |
#s(approx (/ v (sqrt (- (* 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 (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (+ v (* -98/5 (/ H v))))) |
#s(approx (* -98/5 H) #s(hole binary64 (* -98/5 H))) |
#s(approx (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))) |
#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 (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* H (- (/ v H) (* 98/5 (/ 1 v)))))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))))) |
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
#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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))) |
#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))))))) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 H)))) (*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)) |
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#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) (* -98/5 H))) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
#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 (sqrt (+ (* v v) (* -98/5 H))) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
#s(approx (+ (* v v) (* -98/5 H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))))) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (neg.f64 H) (fma.f64 (/.f64 v H) #s(literal -1 binary64) (/.f64 #s(literal 98/5 binary64) v)))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 254 |
| 0 | 59 | 243 |
| 1 | 152 | 243 |
| 0 | 912 | 243 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
(/.f64 H (*.f64 v v)) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) |
(*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) |
(*.f64 #s(literal -98/5 binary64) H) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(neg.f64 (/.f64 v (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) |
(/.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) |
(/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 v v) H) #s(literal -98/5 binary64))))) |
(/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 (pow.f64 v #s(literal 1 binary64)) v (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (pow.f64 v #s(literal 1 binary64)) v (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(fma.f64 v v (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (/.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) |
(-.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(-.f64 (*.f64 v v) (*.f64 (neg.f64 H) #s(literal -98/5 binary64))) |
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)) |
(-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 (neg.f64 v) v)) |
(+.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(+.f64 (*.f64 v v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64))) |
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) |
(+.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -117649/125 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -117649/125 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -117649/125 binary64) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) (neg.f64 v)) (/.f64 H (neg.f64 v)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) (fabs.f64 v)) (/.f64 H (fabs.f64 v)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 H (*.f64 v v))) #s(literal -49/5 binary64))) |
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))))) |
(+.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) |
(/.f64 (/.f64 H (neg.f64 v)) (neg.f64 v)) |
(/.f64 (/.f64 H (fabs.f64 v)) (fabs.f64 v)) |
(/.f64 (neg.f64 (/.f64 H v)) (neg.f64 v)) |
(/.f64 (neg.f64 (neg.f64 H)) (*.f64 v v)) |
(/.f64 (/.f64 H v) v) |
(/.f64 (neg.f64 H) (*.f64 (neg.f64 v) v)) |
(/.f64 H (*.f64 v v)) |
(neg.f64 (/.f64 (neg.f64 H) (*.f64 v v))) |
(neg.f64 (/.f64 H (*.f64 (neg.f64 v) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))) |
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) |
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(neg.f64 (/.f64 v (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))) |
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) |
(*.f64 v (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) |
(/.f64 (*.f64 v (-.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 v (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) |
(fma.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) v (*.f64 #s(literal 1 binary64) v)) |
(fma.f64 #s(literal 1 binary64) v (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) v)) |
(fma.f64 v (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) (*.f64 v #s(literal 1 binary64))) |
(fma.f64 v #s(literal 1 binary64) (*.f64 v (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) v) (*.f64 #s(literal 1 binary64) v)) |
(+.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) v)) |
(+.f64 (*.f64 v (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v #s(literal 1 binary64))) |
(+.f64 (*.f64 v #s(literal 1 binary64)) (*.f64 v (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (neg.f64 v)) (neg.f64 v)) |
(*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (fabs.f64 v)) (fabs.f64 v)) |
(*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)) |
(*.f64 (*.f64 v v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) |
(*.f64 v (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 v v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 v v)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))))) |
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) |
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(neg.f64 (/.f64 v (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))))) |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal -98/5 binary64) H) |
(neg.f64 (*.f64 #s(literal 98/5 binary64) H)) |
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) #s(literal 1/2 binary64))) |
Compiled 5 650 to 1 123 computations (80.1% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 6 | 206 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 201 | 15 | 216 |
| Status | Accuracy | Program |
|---|---|---|
| 20.0% | (atan.f64 (/.f64 v (/.f64 (hypot.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))))) | |
| ▶ | 34.5% | (atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))) |
| ✓ | 63.9% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| 40.0% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))))) | |
| ▶ | 55.7% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
| ✓ | 51.4% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
| ▶ | 30.7% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) |
| 57.0% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 98/5 binary64) v)) H)) v))))) | |
| ✓ | 34.5% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| 33.0% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))) | |
| 39.9% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) | |
| ✓ | 35.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
| ▶ | 39.6% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 35.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ▶ | 63.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
Compiled 696 to 479 computations (31.2% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))) | |
| cost-diff | 7 | (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) | |
| cost-diff | 4 | (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) | |
| cost-diff | 0 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) | |
| cost-diff | 0 | (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) | |
| cost-diff | 0 | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 513 |
| 0 | 77 | 449 |
| 1 | 117 | 446 |
| 2 | 213 | 446 |
| 3 | 548 | 446 |
| 4 | 2331 | 410 |
| 0 | 8494 | 398 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)) |
(*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) |
(*.f64 (/.f64 H v) #s(literal -98/5 binary64)) |
(/.f64 H v) |
H |
#s(literal -98/5 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) |
(*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) |
(fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) |
(/.f64 (/.f64 H v) v) |
(/.f64 H v) |
H |
#s(literal -98/5 binary64) |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))) |
(/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))) |
v |
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 H #s(literal -98/5 binary64)) |
H |
#s(literal -98/5 binary64) |
#s(literal 1/4 binary64) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 #s(literal -98/5 binary64) v) H)) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 #s(literal -98/5 binary64) v) H)) v)))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 #s(literal -98/5 binary64) v) H)) v))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 #s(literal -98/5 binary64) v) H)) v)) |
(*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v) |
(*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 #s(literal -98/5 binary64) v) H)) v) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 #s(literal -98/5 binary64) v) H)) |
(*.f64 (/.f64 H v) #s(literal -98/5 binary64)) |
(*.f64 (/.f64 #s(literal -98/5 binary64) v) H) |
(/.f64 H v) |
H |
#s(literal -98/5 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H v) #s(literal -98/5 binary64) v) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H v) #s(literal -98/5 binary64) v) v)))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H v) #s(literal -98/5 binary64) v) v))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H v) #s(literal -98/5 binary64) v) v)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) |
(*.f64 (fma.f64 (/.f64 H v) #s(literal -98/5 binary64) v) v) |
(*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) |
(fma.f64 (/.f64 H v) #s(literal -98/5 binary64) v) |
(fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) |
(/.f64 (/.f64 H v) v) |
(/.f64 H v) |
H |
#s(literal -98/5 binary64) |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
v |
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal -98/5 binary64) H) |
H |
#s(literal -98/5 binary64) |
#s(literal 1/4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.453125 | (*.f64 H #s(literal -98/5 binary64)) | |
| accuracy | 0.4655075195368841 | (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) | |
| accuracy | 22.537445317080763 | (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) | |
| accuracy | 44.283766191165434 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 H v) v) | |
| accuracy | 2.628062873496724 | (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) | |
| accuracy | 6.151494520360962 | (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) | |
| accuracy | 21.827886317307755 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) | |
| accuracy | 0.40150247986545906 | (*.f64 (/.f64 H v) #s(literal -98/5 binary64)) | |
| accuracy | 6.151494520360962 | (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v) | |
| accuracy | 21.827886317307755 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))) | |
| accuracy | 44.32362643491254 | #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) | |
| accuracy | 38.148128252023895 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) | |
| accuracy | 0.13671875 | (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) | |
| accuracy | 0.16796875 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) | |
| accuracy | 1.1150350388427968 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) | |
| accuracy | 20.581126469043653 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
| 81.0ms | 253× | 0 | valid |
| 5.0ms | 3× | 5 | exit |
Compiled 368 to 39 computations (89.4% saved)
ival-mult: 21.0ms (32.1% of total)ival-div: 13.0ms (19.9% of total)const: 9.0ms (13.8% of total)ival-atan: 7.0ms (10.7% of total)ival-pow: 5.0ms (7.7% of total)ival-sqrt: 3.0ms (4.6% of total)ival-add: 3.0ms (4.6% of total)adjust: 1.0ms (1.5% of total)ival-sub: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)) |
(*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) |
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) |
(atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))) |
(/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) |
(*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v) |
(*.f64 (/.f64 H v) #s(literal -98/5 binary64)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) |
(/.f64 (/.f64 H v) v) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 H #s(literal -98/5 binary64)) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (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 (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 (* (+ (* (/ (/ H v) v) -98/5) 1) v) #s(hole binary64 (* -98/5 (/ H v)))) |
#s(approx (* (+ (* (/ (/ H v) v) -98/5) 1) v) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) v))) |
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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))))))))))) |
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#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
#s(approx (* (* (+ (* (/ (/ H v) v) -98/5) 1) v) v) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | v | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ (/ H v) v) -98/5) 1) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (/ H v) -98/5) (* (* (+ (* (/ (/ H v) v) -98/5) 1) v) v) (/ (/ H v) v) (- (* v v) (* (* 2 49/5) H)) (* H -98/5)) |
| 6.0ms | v | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ (/ H v) v) -98/5) 1) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (/ H v) -98/5) (* (* (+ (* (/ (/ H v) v) -98/5) 1) v) v) (/ (/ H v) v) (- (* v v) (* (* 2 49/5) H)) (* H -98/5)) |
| 5.0ms | H | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ (/ H v) v) -98/5) 1) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (/ H v) -98/5) (* (* (+ (* (/ (/ H v) v) -98/5) 1) v) v) (/ (/ H v) v) (- (* v v) (* (* 2 49/5) H)) (* H -98/5)) |
| 4.0ms | H | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ (/ H v) v) -98/5) 1) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (/ H v) -98/5) (* (* (+ (* (/ (/ H v) v) -98/5) 1) v) v) (/ (/ H v) v) (- (* v v) (* (* 2 49/5) H)) (* H -98/5)) |
| 3.0ms | v | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ (/ H v) v) -98/5) 1) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (/ H v) -98/5) (* (* (+ (* (/ (/ H v) v) -98/5) 1) v) v) (/ (/ H v) v) (- (* v v) (* (* 2 49/5) H)) (* H -98/5)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 900 | 7755 |
| 1 | 2419 | 7534 |
| 0 | 9091 | 7021 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (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 (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 (* (+ (* (/ (/ H v) v) -98/5) 1) v) #s(hole binary64 (* -98/5 (/ H v)))) |
#s(approx (* (+ (* (/ (/ H v) v) -98/5) 1) v) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) v))) |
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (pow (* -98/5 H) 1/4))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* -5/392 (* (pow (/ -98/5 (pow H 3)) 1/4) (pow v 2))) (pow (* -98/5 H) 1/4)))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* -75/307328 (* (pow (/ -98/5 (pow H 7)) 1/4) (pow v 2))))) (pow (* -98/5 H) 1/4)))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* (pow v 2) (+ (* -75/307328 (pow (/ -98/5 (pow H 7)) 1/4)) (* -125/17210368 (* (pow (/ -98/5 (pow H 11)) 1/4) (pow v 2))))))) (pow (* -98/5 H) 1/4)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ -5/98 H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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 (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* -98/5 (/ H v)))) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) v))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* -98/5 H))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (* (/ H v) -98/5) #s(hole binary64 (* -98/5 (/ H v)))) |
#s(approx (* (* (+ (* (/ (/ H v) v) -98/5) 1) v) v) #s(hole binary64 (* -98/5 H))) |
#s(approx (* (* (+ (* (/ (/ H v) v) -98/5) 1) v) v) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (/ (/ H v) v) #s(hole binary64 (/ H (pow v 2)))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1)) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))) |
#s(approx (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (/ 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)))))))) |
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#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (pow v 2))) |
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#s(approx (* (+ (* (/ (/ H v) v) -98/5) 1) v) #s(hole binary64 v)) |
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#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 v)) |
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#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 1)) |
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#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (sqrt v))) |
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#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (sqrt v) (+ (* -49/10 (* H (sqrt (/ 1 (pow v 3))))) (+ (* (sqrt (/ 1 (pow v 7))) (+ (* -2401/50 (pow H 2)) (* 2401/200 (pow H 2)))) (* (sqrt (/ 1 (pow v 11))) (+ (* -235298/375 (pow H 3)) (+ (* -117649/6000 (pow H 3)) (* 117649/500 (pow H 3)))))))))) |
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#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (pow v 2))) |
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#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 v)) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* v (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (pow v 2))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (* (* (+ (* (/ (/ H v) v) -98/5) 1) v) v) #s(hole binary64 (pow v 2))) |
#s(approx (* (* (+ (* (/ (/ H v) v) -98/5) 1) v) v) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1)) |
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#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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))) |
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#s(approx (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1)) |
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#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))) |
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#s(approx (* (+ (* (/ (/ H v) v) -98/5) 1) v) #s(hole binary64 (* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1))))) |
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#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (* (pow 1 1/4) (sqrt v)))) |
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#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* H (+ (* -7203/200 (* (pow 1 1/4) (* H (sqrt (/ 1 (pow v 7)))))) (* -49/10 (* (pow 1 1/4) (sqrt (/ 1 (pow v 3))))))) (* (pow 1 1/4) (sqrt v))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* H (+ (* -49/10 (* (pow 1 1/4) (sqrt (/ 1 (pow v 3))))) (* H (+ (* -823543/2000 (* (pow 1 1/4) (* H (sqrt (/ 1 (pow v 11)))))) (* -7203/200 (* (pow 1 1/4) (sqrt (/ 1 (pow v 7))))))))) (* (pow 1 1/4) (sqrt v))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))))) |
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#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (+ v (* -98/5 (/ H v))))) |
#s(approx (* H -98/5) #s(hole binary64 (* -98/5 H))) |
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#s(approx (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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)))))) |
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#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))))))) |
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#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#s(approx (* (+ (* (/ (/ H v) v) -98/5) 1) v) #s(hole binary64 (* H (- (/ v H) (* 98/5 (/ 1 v)))))) |
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))) H))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))) H)) (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) (pow H 2)))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))) H)) (+ (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) (pow H 2)) (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -125/11294304 (pow v 6)) (+ (* -125/361417728 (pow v 6)) (* 125/30118144 (pow v 6))))) (pow H 3))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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 (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* H (- (/ v H) (* 98/5 (/ 1 v)))))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5)))) |
#s(approx (* (* (+ (* (/ (/ H v) v) -98/5) 1) 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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
#s(approx (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (/ 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))))))) |
#s(approx (* (+ (* (/ (/ H v) v) -98/5) 1) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))))) |
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))))) |
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))) H))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -125/30118144 (pow v 6)) (+ (* 125/361417728 (pow v 6)) (* 125/11294304 (pow v 6))))) H)) (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4))))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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))))))) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
#s(approx (* (* (+ (* (/ (/ H v) v) -98/5) 1) 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))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (*.f64 v v)) (/.f64 (fma.f64 #s(literal -125/3764768 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (fma.f64 #s(literal -125/3764768 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64)))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (fma.f64 #s(literal -125/3764768 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
#s(approx (sqrt (/ 1 (+ (* -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))))) |
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#s(approx (* (+ (* (/ (/ H v) v) -98/5) 1) v) (*.f64 (neg.f64 H) (fma.f64 (/.f64 v H) #s(literal -1 binary64) (/.f64 #s(literal 98/5 binary64) v)))) |
#s(approx (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
#s(approx (* (* (+ (* (/ (/ H v) v) -98/5) 1) v) v) (*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H)))) |
#s(approx (* (* (+ (* (/ (/ H v) v) -98/5) 1) v) v) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
#s(approx (* (* (+ (* (/ (/ H v) v) -98/5) 1) v) v) (*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 460 |
| 0 | 77 | 397 |
| 0 | 206 | 397 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)) |
(*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) |
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) |
(atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))) |
(/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) |
(*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v) |
(*.f64 (/.f64 H v) #s(literal -98/5 binary64)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) |
(/.f64 (/.f64 H v) v) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 H #s(literal -98/5 binary64)) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v))) |
(atan.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v)) |
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v) |
(*.f64 v (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 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)) |
(/.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))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) |
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)))) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)) |
(*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) |
(*.f64 v (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) |
(*.f64 (neg.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64)) |
(atan.f64 (/.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 v) (neg.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64)))) |
(/.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/8 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/8 binary64))) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/4 binary64))) |
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(/.f64 (-.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.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)) (*.f64 (*.f64 v v) (*.f64 v v))) (-.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))) (fma.f64 (*.f64 v v) (*.f64 v v) (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 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))) |
(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(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) |
(*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v) |
(*.f64 v #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64)))) |
(*.f64 (/.f64 H v) #s(literal -98/5 binary64)) |
(*.f64 #s(literal -98/5 binary64) (/.f64 H v)) |
(/.f64 (*.f64 #s(literal -98/5 binary64) H) v) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) |
(*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)) |
(*.f64 v (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v)) |
(/.f64 (neg.f64 (/.f64 H v)) (neg.f64 v)) |
(/.f64 (neg.f64 H) (neg.f64 (*.f64 v v))) |
(/.f64 (/.f64 H v) v) |
(/.f64 H (*.f64 v v)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 H #s(literal -98/5 binary64)) |
Compiled 10 572 to 1 392 computations (86.8% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 240 | 4 | 244 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 244 | 15 | 259 |
| Status | Accuracy | Program |
|---|---|---|
| 34.5% | (atan.f64 (/.f64 (/.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))) | |
| ▶ | 34.5% | (atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
| 34.4% | (atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/8 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/8 binary64)))))) | |
| ✓ | 63.9% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| ▶ | 40.0% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))))) |
| ✓ | 55.7% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
| ✓ | 30.7% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) |
| ✓ | 34.5% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| ▶ | 33.0% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))) |
| ▶ | 39.9% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
| ✓ | 35.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
| ✓ | 39.6% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 35.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ✓ | 63.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
| ▶ | 34.8% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
Compiled 642 to 421 computations (34.4% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 3 | (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))) | |
| cost-diff | 2 | (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) | |
| cost-diff | 0 | (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)) | |
| cost-diff | 0 | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) | |
| cost-diff | 0 | (/.f64 H (*.f64 v v)) | |
| cost-diff | 0 | (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))))) | |
| cost-diff | 4 | (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 736 |
| 0 | 102 | 736 |
| 1 | 169 | 730 |
| 2 | 487 | 713 |
| 3 | 2508 | 709 |
| 0 | 8283 | 669 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v)))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v) |
(/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) |
(*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) |
(fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
#s(literal -941192/125 binary64) |
(pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) |
(+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) |
#s(literal -98/5 binary64) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
v |
#s(literal 49/5 binary64) |
#s(literal 1 binary64) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
#s(literal -5/98 binary64) |
H |
v |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) |
v |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(neg.f64 v) |
(fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
(*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) |
H |
(/.f64 H (pow.f64 v #s(literal 4 binary64))) |
(pow.f64 v #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -2401/50 binary64) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) |
#s(literal -49/5 binary64) |
(/.f64 H (*.f64 v v)) |
(*.f64 v v) |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
v |
(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
#s(literal 1/4 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -941192/125 binary64) #s(literal 1 binary64)) v) v) (fma.f64 (/.f64 H (*.f64 v v)) (fma.f64 #s(literal 9604/25 binary64) (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64)) #s(literal 1 binary64))))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v)))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -941192/125 binary64) #s(literal 1 binary64)) v) v) (fma.f64 (/.f64 H (*.f64 v v)) (fma.f64 #s(literal 9604/25 binary64) (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64)) #s(literal 1 binary64)))))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -941192/125 binary64) #s(literal 1 binary64)) v) v) (fma.f64 (/.f64 H (*.f64 v v)) (fma.f64 #s(literal 9604/25 binary64) (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64)) #s(literal 1 binary64))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -941192/125 binary64) #s(literal 1 binary64)) v) v) (fma.f64 (/.f64 H (*.f64 v v)) (fma.f64 #s(literal 9604/25 binary64) (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v) |
(/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -941192/125 binary64) #s(literal 1 binary64)) v) v) (fma.f64 (/.f64 H (*.f64 v v)) (fma.f64 #s(literal 9604/25 binary64) (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -941192/125 binary64) #s(literal 1 binary64)) v) (fma.f64 (/.f64 H (*.f64 v v)) (fma.f64 #s(literal 9604/25 binary64) (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) |
(*.f64 (fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -941192/125 binary64) #s(literal 1 binary64)) v) |
(fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -941192/125 binary64) #s(literal 1 binary64)) |
#s(literal -941192/125 binary64) |
(pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) |
(fma.f64 (/.f64 H (*.f64 v v)) (fma.f64 #s(literal 9604/25 binary64) (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64)) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 2 binary64)) |
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) |
(*.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) |
#s(literal -98/5 binary64) |
#s(literal 2 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
v |
#s(literal 49/5 binary64) |
#s(literal 1 binary64) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
#s(literal -5/98 binary64) |
H |
v |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 H (fma.f64 #s(literal -2401/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -49/5 binary64) (*.f64 v v))) #s(literal 1 binary64)) (neg.f64 v))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 H (fma.f64 #s(literal -2401/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -49/5 binary64) (*.f64 v v))) #s(literal 1 binary64)) (neg.f64 v)))) |
v |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 H (fma.f64 #s(literal -2401/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -49/5 binary64) (*.f64 v v))) #s(literal 1 binary64)) (neg.f64 v))) |
(*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 H (fma.f64 #s(literal -2401/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -49/5 binary64) (*.f64 v v))) #s(literal 1 binary64)) (neg.f64 v)) |
(neg.f64 v) |
(fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
(fma.f64 H (fma.f64 #s(literal -2401/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -49/5 binary64) (*.f64 v v))) #s(literal 1 binary64)) |
(*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) |
(*.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) H) |
H |
(/.f64 H (pow.f64 v #s(literal 4 binary64))) |
(pow.f64 v #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -2401/50 binary64) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) |
#s(literal -49/5 binary64) |
(/.f64 H (*.f64 v v)) |
(*.f64 v v) |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
v |
(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
#s(literal 1/4 binary64) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.453125 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 0.4655075195368841 | (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) | |
| accuracy | 22.537445317080763 | (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) | |
| accuracy | 44.283766191165434 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| accuracy | 4.985899580449637 | (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) | |
| accuracy | 8.601753704691037 | (/.f64 H (*.f64 v v)) | |
| accuracy | 9.535077811547826 | (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) | |
| accuracy | 41.37212619522413 | #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))) | |
| accuracy | 0.12890625 | (/.f64 #s(literal -5/98 binary64) H) | |
| accuracy | 0.16796875 | (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) | |
| accuracy | 20.581126469043653 | (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) | |
| accuracy | 43.953461581673665 | #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.046875 | (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) | |
| accuracy | 8.601753704691037 | (/.f64 H (*.f64 v v)) | |
| accuracy | 38.264821262588704 | #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))) | |
| accuracy | 7.574218750000001 | (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) | |
| accuracy | 8.601753704691037 | (/.f64 H (*.f64 v v)) | |
| accuracy | 13.275188237307162 | (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) | |
| accuracy | 21.827886317307755 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))) |
| 124.0ms | 253× | 0 | valid |
| 6.0ms | 3× | 5 | exit |
Compiled 503 to 55 computations (89.1% saved)
ival-mult: 28.0ms (27.7% of total)const: 18.0ms (17.8% of total)ival-pow: 14.0ms (13.9% of total)ival-div: 12.0ms (11.9% of total)ival-add: 7.0ms (6.9% of total)ival-atan: 7.0ms (6.9% of total)ival-pow2: 5.0ms (5% of total)ival-sqrt: 3.0ms (3% of total)adjust: 2.0ms (2% of total)ival-sub: 2.0ms (2% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
(/.f64 H (*.f64 v v)) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) |
(fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))) |
(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
(*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
| Outputs |
|---|
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (* 9604/25 (/ (pow H 2) (pow v 4))))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (/ (+ (* 98/5 (* H (pow v 2))) (* 9604/25 (pow H 2))) (pow v 4)))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (/ (+ (* 9604/25 (pow H 2)) (* (pow v 2) (- (pow v 2) (* -98/5 H)))) (pow v 4)))) |
#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 (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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* 49/5 (/ H (pow v 2))))) |
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2)))) |
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2)))) |
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (* -2401/50 (/ (pow H 2) (pow v 4))))) |
#s(approx (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (/ (+ (* -2401/50 (pow H 2)) (* -49/5 (* H (pow v 2)))) (pow v 4)))) |
#s(approx (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (/ (+ (* -2401/50 (pow H 2)) (* (pow v 2) (+ (* -49/5 H) (pow v 2)))) (pow v 4)))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
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#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v)))) |
#s(approx (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (+ v (* -49/5 (/ H v))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (* (pow 1 1/4) (sqrt v)))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* -49/10 (* (pow 1 1/4) (* H (sqrt (/ 1 (pow v 3)))))) (* (pow 1 1/4) (sqrt v))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* H (+ (* -7203/200 (* (pow 1 1/4) (* H (sqrt (/ 1 (pow v 7)))))) (* -49/10 (* (pow 1 1/4) (sqrt (/ 1 (pow v 3))))))) (* (pow 1 1/4) (sqrt v))))) |
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#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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 (/ -5/98 H) #s(hole binary64 (/ -5/98 H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (* -98/5 H) #s(hole binary64 (* -98/5 H))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (* (pow H 2) (+ (* 98/5 (/ 1 (* H (pow v 2)))) (* 9604/25 (/ 1 (pow v 4))))))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (* (pow H 2) (+ (/ 1 (pow H 2)) (+ (* 9604/25 (/ 1 (pow v 4))) (/ 98/5 (* H (pow v 2)))))))) |
#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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))) |
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (* -1 (* (pow H 2) (+ (* 2401/50 (/ 1 (pow v 4))) (* 49/5 (/ 1 (* H (pow v 2))))))))) |
#s(approx (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (* (pow H 2) (- (/ 1 (pow H 2)) (+ (* 2401/50 (/ 1 (pow v 4))) (/ 49/5 (* H (pow v 2)))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))) H))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))) H)) (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) (pow H 2)))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))) H)) (+ (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) (pow H 2)) (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -125/11294304 (pow v 6)) (+ (* -125/361417728 (pow v 6)) (* 125/30118144 (pow v 6))))) (pow H 3))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* H (- (/ v H) (* 98/5 (/ 1 v)))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* H (- (* -1 (/ (+ (* -5/98 (pow v 3)) (* 5/98 (pow v 3))) (pow H 2))) (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* H (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 3)) (* 5/98 (pow v 3)))) (pow H 3))) (+ (* -1 (/ v H)) (+ (* -5/98 (/ (pow v 3) (pow H 2))) (+ (* 5/98 (/ (pow v 3) (pow H 2))) (* 98/5 (/ 1 v))))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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 (- (* 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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
#s(approx (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (* (pow H 2) (- (* -1 (/ (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H)) H)) (* 2401/50 (/ 1 (pow v 4))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))) H))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -125/30118144 (pow v 6)) (+ (* 125/361417728 (pow v 6)) (* 125/11294304 (pow v 6))))) H)) (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4))))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* -1 (* H (+ (* -1 (/ (- (+ (* -5/98 (/ (pow v 3) H)) (* 5/98 (/ (pow v 3) H))) (* -1 v)) H)) (* 98/5 (/ 1 v))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* -1 (* H (+ (* -1 (/ (- (* -1 (/ (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 3)) (* 5/98 (pow v 3)))) H)) (+ (* -5/98 (pow v 3)) (* 5/98 (pow v 3)))) H)) (* -1 v)) H)) (* 98/5 (/ 1 v))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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 (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | H | @ | 0 | ((- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (* H (/ H (pow v 4))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 5.0ms | v | @ | 0 | ((- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (* H (/ H (pow v 4))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 4.0ms | H | @ | -inf | ((- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (* H (/ H (pow v 4))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 4.0ms | H | @ | inf | ((- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (* H (/ H (pow v 4))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 3.0ms | v | @ | inf | ((- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (* H (/ H (pow v 4))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1031 | 8872 |
| 1 | 2877 | 8467 |
| 0 | 8456 | 7905 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (* 9604/25 (/ (pow H 2) (pow v 4))))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (/ (+ (* 98/5 (* H (pow v 2))) (* 9604/25 (pow H 2))) (pow v 4)))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (/ (+ (* 9604/25 (pow H 2)) (* (pow v 2) (- (pow v 2) (* -98/5 H)))) (pow v 4)))) |
#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 (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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* 49/5 (/ H (pow v 2))))) |
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2)))) |
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2)))) |
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
#s(approx (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (* -2401/50 (/ (pow H 2) (pow v 4))))) |
#s(approx (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (/ (+ (* -2401/50 (pow H 2)) (* -49/5 (* H (pow v 2)))) (pow v 4)))) |
#s(approx (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (/ (+ (* -2401/50 (pow H 2)) (* (pow v 2) (+ (* -49/5 H) (pow v 2)))) (pow v 4)))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (* (sqrt H) (sqrt -98/5)))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (pow (* -98/5 H) 1/4))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* -5/392 (* (pow (/ -98/5 (pow H 3)) 1/4) (pow v 2))) (pow (* -98/5 H) 1/4)))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* -75/307328 (* (pow (/ -98/5 (pow H 7)) 1/4) (pow v 2))))) (pow (* -98/5 H) 1/4)))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* (pow v 2) (+ (* -75/307328 (pow (/ -98/5 (pow H 7)) 1/4)) (* -125/17210368 (* (pow (/ -98/5 (pow H 11)) 1/4) (pow v 2))))))) (pow (* -98/5 H) 1/4)))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* -98/5 (/ H v)))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) v))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ -5/98 H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))))) |
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#s(approx (* H (/ H (pow v 4))) #s(hole binary64 (/ (pow H 2) (pow v 4)))) |
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#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H)))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 1)) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (+ 1 (* 98/5 (/ H (pow v 2)))))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -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 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
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#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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1)) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v))) |
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#s(approx (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 1)) |
#s(approx (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (+ 1 (* -49/5 (/ H (pow v 2)))))) |
#s(approx (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 v)) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 1)) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2)))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (sqrt v))) |
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#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* v (+ 1 (* -98/5 (/ H (pow v 2))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* v (- (+ 1 (* -1 (/ (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2))) (pow v 4)))) (* 98/5 (/ H (pow v 2))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* v (- (+ 1 (* 98/5 (/ (* H (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4))))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ 1 (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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 (- (* 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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1)) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v))) |
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))) |
#s(approx (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (* -1 v))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 -1)) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (* (sqrt v) (sqrt -1)))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* -49/10 (* (* H (sqrt -1)) (sqrt (/ 1 (pow v 3))))) (* (sqrt v) (sqrt -1))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* -49/10 (* (* H (sqrt -1)) (sqrt (/ 1 (pow v 3))))) (+ (* (sqrt v) (sqrt -1)) (* (sqrt (/ 1 (pow v 7))) (* (sqrt -1) (+ (* -2401/50 (pow H 2)) (* 2401/200 (pow H 2))))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* -49/10 (* (* H (sqrt -1)) (sqrt (/ 1 (pow v 3))))) (+ (* (sqrt v) (sqrt -1)) (+ (* (sqrt (/ 1 (pow v 7))) (* (sqrt -1) (+ (* -2401/50 (pow H 2)) (* 2401/200 (pow H 2))))) (* (sqrt (/ 1 (pow v 11))) (* (sqrt -1) (+ (* -235298/375 (pow H 3)) (+ (* -117649/6000 (pow H 3)) (* 117649/500 (pow H 3))))))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* -1 (* v (- (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4))))) 1))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* -1 (* v (- (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (+ (* -98/5 (/ (* H (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (pow v 6))) (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4)))))) 1))))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (+ 1 (* H (+ (* 9604/25 (/ H (pow v 4))) (* 98/5 (/ 1 (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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v)))) |
#s(approx (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (+ v (* -49/5 (/ H v))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (* (pow 1 1/4) (sqrt v)))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* -49/10 (* (pow 1 1/4) (* H (sqrt (/ 1 (pow v 3)))))) (* (pow 1 1/4) (sqrt v))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* H (+ (* -7203/200 (* (pow 1 1/4) (* H (sqrt (/ 1 (pow v 7)))))) (* -49/10 (* (pow 1 1/4) (sqrt (/ 1 (pow v 3))))))) (* (pow 1 1/4) (sqrt v))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* H (+ (* -49/10 (* (pow 1 1/4) (sqrt (/ 1 (pow v 3))))) (* H (+ (* -823543/2000 (* (pow 1 1/4) (* H (sqrt (/ 1 (pow v 11)))))) (* -7203/200 (* (pow 1 1/4) (sqrt (/ 1 (pow v 7))))))))) (* (pow 1 1/4) (sqrt v))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (+ v (* -98/5 (/ H v))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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 (/ -5/98 H) #s(hole binary64 (/ -5/98 H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2)))) |
#s(approx (* -98/5 H) #s(hole binary64 (* -98/5 H))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (* (pow H 2) (+ (* 98/5 (/ 1 (* H (pow v 2)))) (* 9604/25 (/ 1 (pow v 4))))))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (* (pow H 2) (+ (/ 1 (pow H 2)) (+ (* 9604/25 (/ 1 (pow v 4))) (/ 98/5 (* H (pow v 2)))))))) |
#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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))) |
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))))) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (* -1 (* (pow H 2) (+ (* 2401/50 (/ 1 (pow v 4))) (* 49/5 (/ 1 (* H (pow v 2))))))))) |
#s(approx (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (* (pow H 2) (- (/ 1 (pow H 2)) (+ (* 2401/50 (/ 1 (pow v 4))) (/ 49/5 (* H (pow v 2)))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))) H))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))) H)) (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) (pow H 2)))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))) H)) (+ (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) (pow H 2)) (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -125/11294304 (pow v 6)) (+ (* -125/361417728 (pow v 6)) (* 125/30118144 (pow v 6))))) (pow H 3))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* H (- (/ v H) (* 98/5 (/ 1 v)))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* H (- (* -1 (/ (+ (* -5/98 (pow v 3)) (* 5/98 (pow v 3))) (pow H 2))) (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* H (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 3)) (* 5/98 (pow v 3)))) (pow H 3))) (+ (* -1 (/ v H)) (+ (* -5/98 (/ (pow v 3) (pow H 2))) (+ (* 5/98 (/ (pow v 3) (pow H 2))) (* 98/5 (/ 1 v))))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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 (- (* 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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
#s(approx (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -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 (+ (* (* H (/ H (pow v 4))) -2401/50) (+ (* -49/5 (/ H (* v v))) 1)) #s(hole binary64 (* (pow H 2) (- (* -1 (/ (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H)) H)) (* 2401/50 (/ 1 (pow v 4))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))) H))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -125/30118144 (pow v 6)) (+ (* 125/361417728 (pow v 6)) (* 125/11294304 (pow v 6))))) H)) (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4))))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* -1 (* H (+ (* -1 (/ (- (+ (* -5/98 (/ (pow v 3) H)) (* 5/98 (/ (pow v 3) H))) (* -1 v)) H)) (* 98/5 (/ 1 v))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* -1 (* H (+ (* -1 (/ (- (* -1 (/ (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 3)) (* 5/98 (pow v 3)))) H)) (+ (* -5/98 (pow v 3)) (* 5/98 (pow v 3)))) H)) (* -1 v)) H)) (* 98/5 (/ 1 v))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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 (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
| Outputs |
|---|
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (* 9604/25 (/ (pow H 2) (pow v 4))))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) (/.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (pow.f64 v #s(literal 4 binary64)))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (/ (+ (* 98/5 (* H (pow v 2))) (* 9604/25 (pow H 2))) (pow v 4)))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) (/.f64 (fma.f64 (*.f64 (*.f64 v v) H) #s(literal 98/5 binary64) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64))) (pow.f64 v #s(literal 4 binary64)))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) #s(hole binary64 (/ (+ (* 9604/25 (pow H 2)) (* (pow v 2) (- (pow v 2) (* -98/5 H)))) (pow v 4)))) |
#s(approx (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5)) (/.f64 (fma.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)) (*.f64 v v) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64))) (pow.f64 v #s(literal 4 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)))))))) |
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#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))))) |
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))))))) |
#s(approx (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))))) |
#s(approx (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (*.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))) |
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (/.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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))) H))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (fma.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (*.f64 v v)) H) #s(literal -5/392 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (/.f64 (fma.f64 (*.f64 #s(literal 5/392 binary64) (*.f64 v v)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -75/307328 binary64))) (neg.f64 H))) H))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -125/30118144 (pow v 6)) (+ (* 125/361417728 (pow v 6)) (* 125/11294304 (pow v 6))))) H)) (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4))))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H))))) |
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (/.f64 (fma.f64 (*.f64 #s(literal 5/392 binary64) (*.f64 v v)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -75/307328 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 125/17210368 binary64)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H))))) (neg.f64 H))) (neg.f64 H))) H))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) (*.f64 (neg.f64 H) (fma.f64 (/.f64 v H) #s(literal -1 binary64) (/.f64 #s(literal 98/5 binary64) v)))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* -1 (* H (+ (* -1 (/ (- (+ (* -5/98 (/ (pow v 3) H)) (* 5/98 (/ (pow v 3) H))) (* -1 v)) H)) (* 98/5 (/ 1 v))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) (*.f64 (neg.f64 H) (fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) v) H) #s(literal -1 binary64) (/.f64 #s(literal 98/5 binary64) v)))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) #s(hole binary64 (* -1 (* H (+ (* -1 (/ (- (* -1 (/ (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 3)) (* 5/98 (pow v 3)))) H)) (+ (* -5/98 (pow v 3)) (* 5/98 (pow v 3)))) H)) (* -1 v)) H)) (* 98/5 (/ 1 v))))))) |
#s(approx (/ (* (+ (* -941192/125 (pow (/ H (* v v)) 3)) 1) v) (- (+ (pow (* (/ H (* v v)) -98/5) 2) 1) (* (/ H (* v v)) -98/5))) (*.f64 (neg.f64 H) (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal 5/98 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64) v) H) #s(literal -1 binary64) (/.f64 #s(literal 98/5 binary64) v)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64)) (neg.f64 H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64) (*.f64 #s(literal -25/9604 binary64) (*.f64 v v))) H)) (neg.f64 H))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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 (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64) (*.f64 #s(literal 125/941192 binary64) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 H)) (*.f64 #s(literal 25/9604 binary64) (*.f64 v v))) H)) (neg.f64 H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 522 |
| 0 | 102 | 516 |
| 1 | 326 | 513 |
| 0 | 2358 | 489 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
(/.f64 H (*.f64 v v)) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)) |
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) |
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) |
(fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))) |
(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 binary64) H) |
(*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -98/5 binary64) v) (/.f64 H v)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -98/5 binary64) v) (/.f64 H v))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -98/5 binary64) v) (/.f64 H v))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -98/5 binary64) v) (/.f64 H v))))) |
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(/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 H v) v)) #s(literal 2 binary64))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 H #s(literal -98/5 binary64)) |
(neg.f64 (*.f64 #s(literal 98/5 binary64) H)) |
Compiled 21 103 to 2 871 computations (86.4% saved)
15 alts after pruning (5 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 467 | 3 | 470 |
| Fresh | 0 | 2 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 8 | 8 |
| Total | 470 | 15 | 485 |
| Status | Accuracy | Program |
|---|---|---|
| 34.5% | (atan.f64 (/.f64 (/.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))) | |
| 34.4% | (atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/8 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/8 binary64)))))) | |
| ✓ | 63.9% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| 40.0% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (fma.f64 (*.f64 (/.f64 H (*.f64 (neg.f64 v) v)) #s(literal -98/5 binary64)) (*.f64 (/.f64 H (*.f64 (neg.f64 v) v)) #s(literal -98/5 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -98/5 binary64) v) (/.f64 H v))))) v))))) | |
| ✓ | 55.7% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
| ✓ | 30.7% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) |
| ✓ | 34.5% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| 27.9% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (/.f64 (/.f64 (*.f64 H H) (*.f64 v v)) (*.f64 v v)) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))) | |
| ✓ | 39.9% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
| ✓ | 35.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
| ✓ | 39.6% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 35.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| 34.8% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v))) | |
| ✓ | 63.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
| ✓ | 34.8% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
Compiled 1 116 to 473 computations (57.6% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(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 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 98/5 binary64) v)) H)) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (/.f64 (/.f64 (*.f64 H H) (*.f64 v v)) (*.f64 v v)) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v))) |
(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))) |
(atan.f64 (/.f64 (/.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))) |
(atan.f64 (/.f64 v (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (fma.f64 (*.f64 (/.f64 H (*.f64 (neg.f64 v) v)) #s(literal -98/5 binary64)) (*.f64 (/.f64 H (*.f64 (neg.f64 v) v)) #s(literal -98/5 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -98/5 binary64) v) (/.f64 H v))))) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) v) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) v))))) |
(atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/8 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/8 binary64)))))) |
(atan.f64 (/.f64 v (/.f64 (hypot.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
5 calls:
| 6.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 6.0ms | H |
| 6.0ms | v |
| 5.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 5.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 3 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 77.3% | 3 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 77.3% | 3 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 99.5% | 3 | v |
| 68.8% | 3 | H |
Compiled 32 to 31 computations (3.1% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
1 calls:
| 2.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 3 | v |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
3 calls:
| 2.0ms | v |
| 2.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 2.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 2 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 55.2% | 2 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 72.9% | 2 | v |
Compiled 26 to 23 computations (11.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
5 calls:
| 7.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 1.0ms | H |
| 1.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 1.0ms | v |
| 1.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.1% | 1 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 35.1% | 1 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 35.1% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 35.1% | 1 | H |
| 35.1% | 1 | v |
Compiled 32 to 31 computations (3.1% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.372772069586567e+151 | 7.406122865823552e+152 |
| 4.0ms | -1.9906431730609087e+154 | -2.03471202810927e+144 |
| 4.0ms | 48× | 0 | valid |
Compiled 91 to 85 computations (6.6% saved)
ival-mult: 1.0ms (33.3% of total)ival-atan: 1.0ms (33.3% of total)const: 1.0ms (33.3% of total)ival-div: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 4.0857811863090786e-83 | 4.618032864771114e-77 |
| 24.0ms | -3.811618911419301e-99 | -2.0263366813811657e-112 |
| 36.0ms | 304× | 0 | valid |
| 6.0ms | 84× | 0 | invalid |
Compiled 890 to 738 computations (17.1% saved)
ival-mult: 7.0ms (32% of total)const: 5.0ms (22.8% of total)ival-div: 2.0ms (9.1% of total)ival-atan: 2.0ms (9.1% of total)ival-sub: 2.0ms (9.1% of total)ival-sqrt: 2.0ms (9.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | -1.7222391032228853e-301 | 7.692226009332816e-306 |
| 29.0ms | 160× | 0 | valid |
| 7.0ms | 89× | 0 | invalid |
Compiled 316 to 296 computations (6.3% saved)
ival-mult: 5.0ms (37.2% of total)const: 3.0ms (22.3% of total)ival-sqrt: 2.0ms (14.9% of total)ival-div: 1.0ms (7.4% of total)ival-atan: 1.0ms (7.4% of total)ival-sub: 1.0ms (7.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 150 |
| 1 | 68 | 150 |
| 2 | 128 | 150 |
| 3 | 317 | 150 |
| 4 | 1196 | 150 |
| 5 | 4401 | 150 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 v #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -1169747058955461/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 5072969210312161/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| Outputs |
|---|
(if (<=.f64 v #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -1169747058955461/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 5072969210312161/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| 1× | fuel |
Compiled 166 to 50 computations (69.9% saved)
Compiled 358 to 122 computations (65.9% saved)
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