
Time bar (total: 6.3s)
| 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)
| 855.0ms | 8 256× | 0 | valid |
| 7.0ms | 95× | 0 | invalid |
ival-mult: 222.0ms (33.9% of total)const: 124.0ms (18.9% of total)ival-atan: 116.0ms (17.7% of total)ival-sqrt: 67.0ms (10.2% of total)ival-div: 64.0ms (9.8% of total)ival-sub: 46.0ms (7% of total)ival-true: 7.0ms (1.1% of total)exact: 5.0ms (0.8% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 79 | 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 | 79 | 0 |
| ↳ | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | overflow | 79 | |
| ↳ | (*.f64 v v) | overflow | 79 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 79 | 1 |
| - | 0 | 176 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 79 | 0 | 1 |
| - | 0 | 0 | 176 |
| number | freq |
|---|---|
| 0 | 177 |
| 1 | 79 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 49.0ms | 498× | 0 | valid |
| 9.0ms | 14× | 5 | exit |
Compiled 194 to 48 computations (75.3% saved)
ival-mult: 13.0ms (33% of total)const: 9.0ms (22.9% of total)ival-atan: 5.0ms (12.7% of total)ival-div: 4.0ms (10.2% of total)ival-sqrt: 4.0ms (10.2% of total)ival-sub: 3.0ms (7.6% of total)adjust: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 61 |
| 1 | 63 | 59 |
| 2 | 118 | 59 |
| 3 | 223 | 59 |
| 4 | 394 | 59 |
| 5 | 646 | 59 |
| 6 | 873 | 59 |
| 7 | 1016 | 59 |
| 8 | 1161 | 59 |
| 9 | 1196 | 59 |
| 10 | 1212 | 59 |
| 0 | 11 | 11 |
| 0 | 19 | 11 |
| 1 | 26 | 11 |
| 2 | 36 | 11 |
| 3 | 45 | 11 |
| 4 | 61 | 11 |
| 5 | 82 | 11 |
| 6 | 126 | 11 |
| 7 | 174 | 11 |
| 8 | 236 | 11 |
| 9 | 294 | 11 |
| 10 | 383 | 11 |
| 11 | 423 | 11 |
| 12 | 512 | 11 |
| 13 | 535 | 11 |
| 14 | 543 | 11 |
| 0 | 543 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
Compiled 13 to 11 computations (15.4% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.6% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) | |
| cost-diff | 128 | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | |
| cost-diff | 320 | (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 0 | 19 | 47 |
| 1 | 26 | 47 |
| 2 | 36 | 47 |
| 3 | 45 | 47 |
| 4 | 61 | 47 |
| 5 | 82 | 47 |
| 6 | 126 | 47 |
| 7 | 174 | 47 |
| 8 | 236 | 47 |
| 9 | 294 | 47 |
| 10 | 383 | 47 |
| 11 | 423 | 47 |
| 12 | 512 | 47 |
| 13 | 535 | 47 |
| 14 | 543 | 47 |
| 0 | 543 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
v |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(*.f64 v v) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
#s(literal 2 binary64) |
#s(literal 49/5 binary64) |
H |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
v |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(*.f64 v v) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
(*.f64 H #s(literal 98/5 binary64)) |
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
#s(literal 98/5 binary64) |
#s(literal 2 binary64) |
#s(literal 49/5 binary64) |
H |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) | |
| accuracy | 0.05078125 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) | |
| accuracy | 0.46875 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) | |
| accuracy | 18.449518809092186 | (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
| 25.0ms | 249× | 0 | valid |
| 4.0ms | 7× | 5 | exit |
Compiled 120 to 24 computations (80% saved)
ival-mult: 5.0ms (25.3% of total)const: 4.0ms (20.2% of total)ival-atan: 4.0ms (20.2% of total)ival-div: 2.0ms (10.1% of total)ival-sqrt: 2.0ms (10.1% of total)adjust: 1.0ms (5.1% of total)ival-sub: 1.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| Outputs |
|---|
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(+ (* -98/5 H) (pow v 2)) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(* 98/5 H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | 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)) |
| 2.0ms | v | @ | inf | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 1366 |
| 1 | 933 | 1320 |
| 2 | 3177 | 1297 |
| 3 | 7294 | 1288 |
| 0 | 8081 | 1208 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(+ (* -98/5 H) (pow v 2)) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(* 98/5 H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
| Outputs |
|---|
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(- (pow v 2) (* 98/5 H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 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 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) v) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(fma.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (*.f64 (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 v v))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5/784 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 v v)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))))) (fma.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))) |
(pow v 2) |
(*.f64 v v) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (*.f64 v v)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 H H)) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -2401/50 binary64) H) (/.f64 H (pow.f64 v #s(literal 4 binary64)))) v (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(*.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) (/.f64 #s(literal -117649/250 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -2401/50 binary64) H) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) v) |
-1 |
#s(literal -1 binary64) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 H H)) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(fma.f64 (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(* -1 v) |
(neg.f64 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(*.f64 (neg.f64 v) (fma.f64 (*.f64 #s(literal -2401/50 binary64) H) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(*.f64 (neg.f64 v) (fma.f64 (pow.f64 H #s(literal 3 binary64)) (/.f64 #s(literal -117649/250 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -2401/50 binary64) H) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 7203/50 binary64) (pow.f64 v #s(literal 4 binary64))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (pow.f64 v #s(literal 4 binary64)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)) |
(+ v (* -49/5 (/ H v))) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal 3 binary64))) H (/.f64 #s(literal -49/5 binary64) v)) H v) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal 3 binary64)))) H (/.f64 #s(literal -49/5 binary64) v)) H v) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -125/1882384 binary64) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -125/1882384 binary64) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/3764768 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal 5/98 binary64))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64)) (pow.f64 v #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (/.f64 (fma.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/3764768 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 H))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 98/5 binary64)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(*.f64 (neg.f64 H) (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 98/5 binary64))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #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))) (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 98/5 binary64)))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 0 | 19 | 40 |
| 1 | 50 | 40 |
| 2 | 275 | 40 |
| 3 | 2262 | 40 |
| 0 | 8997 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| Outputs |
|---|
#s(literal 98/5 binary64) |
(*.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))) |
(*.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (pow.f64 v #s(literal 18 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 v #s(literal 12 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (-.f64 (pow.f64 v #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (-.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 8 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (-.f64 (pow.f64 v #s(literal 8 binary64)) (*.f64 #s(literal 9604/25 binary64) (pow.f64 (*.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) #s(literal 2 binary64))))) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 941192/125 binary64) (pow.f64 (*.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) #s(literal 3 binary64)) (pow.f64 v #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))) (-.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 8 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(*.f64 (/.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 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 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 (neg.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) #s(literal -1 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)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) |
(*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (pow.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (pow.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))))))) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 v #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64))) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 6 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 8 binary64))) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 6 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 v #s(literal 18 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 9 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 v #s(literal 12 binary64))) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 v #s(literal 9 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 9/2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 v #s(literal 12 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 8 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -98/5 binary64)) H))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(exp.f64 (neg.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal -1 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (exp.f64 (log.f64 #s(literal 98/5 binary64))) (exp.f64 (log.f64 H))) |
(*.f64 (exp.f64 (log.f64 H)) (exp.f64 (log.f64 #s(literal 98/5 binary64)))) |
(*.f64 (pow.f64 H #s(literal 1 binary64)) #s(literal 98/5 binary64)) |
(*.f64 H #s(literal 98/5 binary64)) |
(*.f64 #s(literal 98/5 binary64) (pow.f64 H #s(literal 1 binary64))) |
(*.f64 #s(literal 98/5 binary64) H) |
(pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 H #s(literal 98/5 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 H #s(literal 98/5 binary64)))) |
Compiled 12 674 to 2 035 computations (83.9% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 367 | 13 | 380 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 368 | 13 | 381 |
| Status | Accuracy | Program |
|---|---|---|
| 64.9% | (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) | |
| 18.5% | (atan.f64 (/.f64 v (/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))) | |
| ▶ | 68.6% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))))) |
| ▶ | 69.6% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| 68.6% | (atan.f64 (/.f64 v (sqrt.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))) | |
| ▶ | 36.5% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| ▶ | 69.1% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
| 69.6% | (atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v)) | |
| 69.5% | (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 v))) | |
| 39.1% | (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)))) | |
| 33.3% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) | |
| ▶ | 39.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| 69.5% | #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 494 to 344 computations (30.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))))) | |
| cost-diff | 128 | (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) | |
| cost-diff | 0 | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) | |
| cost-diff | 0 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* 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 | 42 | 349 |
| 0 | 69 | 339 |
| 1 | 105 | 334 |
| 2 | 178 | 330 |
| 3 | 291 | 322 |
| 4 | 495 | 322 |
| 5 | 865 | 322 |
| 6 | 1483 | 302 |
| 7 | 2156 | 302 |
| 8 | 2721 | 302 |
| 9 | 3084 | 302 |
| 10 | 3246 | 302 |
| 11 | 3282 | 302 |
| 12 | 3301 | 294 |
| 13 | 3337 | 294 |
| 14 | 3390 | 294 |
| 15 | 3460 | 294 |
| 16 | 3558 | 294 |
| 17 | 3650 | 294 |
| 18 | 4024 | 294 |
| 19 | 4341 | 294 |
| 20 | 4792 | 294 |
| 21 | 4982 | 294 |
| 22 | 5118 | 293 |
| 23 | 5304 | 293 |
| 24 | 6200 | 293 |
| 25 | 7366 | 293 |
| 0 | 8090 | 289 |
| 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 (/.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))))) |
(/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))))) |
v |
(sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))) |
(fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))) |
(*.f64 v v) |
(/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) |
(fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) |
H |
#s(literal 98/5 binary64) |
(neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) |
(*.f64 #s(literal 9604/25 binary64) H) |
#s(literal 9604/25 binary64) |
(/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) |
| 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 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
v |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 #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 (/.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) |
(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))))) |
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 (*.f64 H H) #s(literal -9604/25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) |
(/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))))) |
(/.f64 v (sqrt.f64 (/.f64 (fma.f64 (*.f64 H H) #s(literal -9604/25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) |
v |
(sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))) |
(sqrt.f64 (/.f64 (fma.f64 (*.f64 H H) #s(literal -9604/25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) |
(fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))) |
(/.f64 (fma.f64 (*.f64 H H) #s(literal -9604/25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) |
(*.f64 v v) |
(/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) |
(/.f64 v (-.f64 v (/.f64 (*.f64 H #s(literal -98/5 binary64)) v))) |
(fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) |
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) |
H |
#s(literal 98/5 binary64) |
(neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(*.f64 (/.f64 #s(literal -9604/25 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 H H)) |
(*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) |
(*.f64 (/.f64 #s(literal 9604/25 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 H H)) |
(*.f64 #s(literal 9604/25 binary64) H) |
#s(literal 9604/25 binary64) |
(/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) |
(/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.1147361959594337 | (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) | |
| accuracy | 5.910444161547677 | (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) | |
| accuracy | 18.449518809092186 | (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))) | |
| accuracy | 21.781943625699917 | (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) | |
| accuracy | 0.0859375 | (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) | |
| accuracy | 0.1484375 | (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) | |
| accuracy | 0.3486665211526281 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) | |
| accuracy | 18.449518809092186 | (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) | |
| accuracy | 0.05078125 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) | |
| accuracy | 0.46875 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 18.449518809092186 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| accuracy | 42.48081039945356 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| accuracy | 0.0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) | |
| accuracy | 37.73310364673897 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) | |
| accuracy | 0.05078125 | (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) | |
| accuracy | 0.46875 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 18.449518809092186 | (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
| 161.0ms | 249× | 0 | valid |
| 15.0ms | 7× | 5 | exit |
Compiled 730 to 82 computations (88.8% saved)
ival-atan: 38.0ms (24.4% of total)ival-add: 30.0ms (19.3% of total)const: 29.0ms (18.7% of total)ival-div: 29.0ms (18.7% of total)ival-mult: 13.0ms (8.4% of total)ival-sqrt: 7.0ms (4.5% of total)adjust: 6.0ms (3.9% of total)ival-neg: 1.0ms (0.6% of total)ival-sub: 1.0ms (0.6% 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 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))))) |
(/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))))) |
(sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))) |
(*.f64 #s(literal -98/5 binary64) H) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) |
(/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) |
(*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(- (pow v 2) (* 98/5 H)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v) |
(- (* (pow v 2) (+ 1 (* -5/98 (/ (pow v 2) H)))) (* 98/5 H)) |
(- (* (pow v 2) (+ 1 (* (pow v 2) (- (* 25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))) (* 98/5 H)) |
(atan (* v (sqrt (/ 1 (- (/ (pow v 4) (+ (* 98/5 H) (pow v 2))) (* 9604/25 (/ (pow H 2) (+ (* 98/5 H) (pow v 2))))))))) |
(* 5/98 (/ (pow v 2) H)) |
(* (pow v 2) (+ (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))) |
(* (pow v 2) (+ (* (pow v 2) (- (* 125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))) |
(* (pow v 2) (+ (* (pow v 2) (- (* (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)))) |
5/98 |
(+ 5/98 (* -25/9604 (/ (pow v 2) H))) |
(+ 5/98 (* (pow v 2) (- (* 125/941192 (/ (pow v 2) (pow H 2))) (* 25/9604 (/ 1 H))))) |
(+ 5/98 (* (pow v 2) (- (* (pow v 2) (+ (* -625/92236816 (/ (pow v 2) (pow H 3))) (* 125/941192 (/ 1 (pow H 2))))) (* 25/9604 (/ 1 H))))) |
(* 98/5 H) |
(+ (* -1 (pow v 2)) (* 98/5 H)) |
(+ (* 98/5 H) (* (pow v 2) (- (* 5/98 (/ (pow v 2) H)) 1))) |
(+ (* 98/5 H) (* (pow v 2) (- (* (pow v 2) (+ (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))) 1))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(+ 1 (* -49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* -9604/25 (/ (pow H 2) (pow v 2))) |
(/ (- (* 941192/125 (/ (pow H 3) (pow v 2))) (* 9604/25 (pow H 2))) (pow v 2)) |
(/ (- (* -92236816/625 (/ (pow H 4) (pow v 4))) (+ (* -941192/125 (/ (pow H 3) (pow v 2))) (* 9604/25 (pow H 2)))) (pow v 2)) |
(/ (- (* 9039207968/3125 (/ (pow H 5) (pow v 6))) (+ (* -941192/125 (/ (pow H 3) (pow v 2))) (+ (* 9604/25 (pow H 2)) (* 92236816/625 (/ (pow H 4) (pow v 4)))))) (pow v 2)) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (* 2401/25 (pow H 2)))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (* 2401/25 (pow H 2)))) (pow v 4))) (+ (* -1/2 (/ (+ (* -98/5 (* H (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2))))) (+ (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (+ (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (* 2401/25 (pow H 2)))))) (+ (* -1 (+ (* -941192/125 (pow H 3)) (* 941192/125 (pow H 3)))) (* 98/5 (* H (+ (* -9604/25 (pow H 2)) (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))))))))) (pow v 6))) (* 49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -49/5 (/ H (pow v 2))) (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* 9604/25 (pow H 2)))) (pow v 4)))))) |
(* v (+ 1 (+ (* -49/5 (/ H (pow v 2))) (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (+ (* 49/5 (* H (+ (* -9604/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* 9604/25 (pow H 2)))))) (* 941192/125 (pow H 3)))) (pow v 6))) (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* 9604/25 (pow H 2)))) (pow v 4))))))) |
(+ 1 (* -98/5 (/ H (pow v 2)))) |
(- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* 98/5 (/ H (pow v 2)))) |
(- (+ 1 (* -941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* 98/5 (/ H (pow v 2))))) |
(/ H (pow v 2)) |
(/ (+ H (* -98/5 (/ (pow H 2) (pow v 2)))) (pow v 2)) |
(/ (- (+ H (* 9604/25 (/ (pow H 3) (pow v 4)))) (* 98/5 (/ (pow H 2) (pow v 2)))) (pow v 2)) |
(/ (- (+ H (* -941192/125 (/ (pow H 4) (pow v 6)))) (+ (* -9604/25 (/ (pow H 3) (pow v 4))) (* 98/5 (/ (pow H 2) (pow v 2))))) (pow v 2)) |
(* 9604/25 (/ (pow H 2) (pow v 2))) |
(/ (+ (* -941192/125 (/ (pow H 3) (pow v 2))) (* 9604/25 (pow H 2))) (pow v 2)) |
(/ (+ (* -941192/125 (/ (pow H 3) (pow v 2))) (+ (* 9604/25 (pow H 2)) (* 92236816/625 (/ (pow H 4) (pow v 4))))) (pow v 2)) |
(/ (+ (* -9039207968/3125 (/ (pow H 5) (pow v 6))) (+ (* -941192/125 (/ (pow H 3) (pow v 2))) (+ (* 9604/25 (pow H 2)) (* 92236816/625 (/ (pow H 4) (pow v 4)))))) (pow v 2)) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(- (* 49/5 (/ H (pow v 2))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (* 2401/25 (pow H 2)))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (* 2401/25 (pow H 2)))) (pow v 4))) (* 1/2 (/ (+ (* -98/5 (* H (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2))))) (+ (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (+ (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (* 2401/25 (pow H 2)))))) (+ (* -1 (+ (* -941192/125 (pow H 3)) (* 941192/125 (pow H 3)))) (* 98/5 (* H (+ (* -9604/25 (pow H 2)) (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))))))))) (pow v 6))))) 1) |
(* -1 (* v (+ 1 (+ (* -49/5 (/ H (pow v 2))) (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* 9604/25 (pow H 2)))) (pow v 4))))))) |
(* -1 (* v (+ 1 (+ (* -49/5 (/ H (pow v 2))) (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (+ (* 49/5 (* H (+ (* -9604/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* 9604/25 (pow H 2)))))) (* 941192/125 (pow H 3)))) (pow v 6))) (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* 9604/25 (pow H 2)))) (pow v 4)))))))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(* (pow H 2) (- (* 941192/125 (/ H (pow v 4))) (* 9604/25 (/ 1 (pow v 2))))) |
(* (pow H 2) (- (* H (+ (* -92236816/625 (/ H (pow v 6))) (* 941192/125 (/ 1 (pow v 4))))) (* 9604/25 (/ 1 (pow v 2))))) |
(* (pow H 2) (- (* H (+ (* H (- (* 9039207968/3125 (/ H (pow v 8))) (* 92236816/625 (/ 1 (pow v 6))))) (* 941192/125 (/ 1 (pow v 4))))) (* 9604/25 (/ 1 (pow v 2))))) |
(+ 1 (* H (- (* 9604/25 (/ H (pow v 4))) (* 98/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (- (* H (+ (* -941192/125 (/ H (pow v 6))) (* 9604/25 (/ 1 (pow v 4))))) (* 98/5 (/ 1 (pow v 2)))))) |
(* H (+ (* -98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))) |
(* H (+ (* H (- (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))) |
(* H (+ (* H (- (* H (+ (* -941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))) |
(* (pow H 2) (+ (* -941192/125 (/ H (pow v 4))) (* 9604/25 (/ 1 (pow v 2))))) |
(* (pow H 2) (+ (* H (- (* 92236816/625 (/ H (pow v 6))) (* 941192/125 (/ 1 (pow v 4))))) (* 9604/25 (/ 1 (pow v 2))))) |
(* (pow H 2) (+ (* H (- (* H (+ (* -9039207968/3125 (/ H (pow v 8))) (* 92236816/625 (/ 1 (pow v 6))))) (* 941192/125 (/ 1 (pow v 4))))) (* 9604/25 (/ 1 (pow v 2))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))) |
(* H (- (* -5/98 (/ (pow v 4) (pow H 2))) (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* H (- (* 25/9604 (/ (pow v 6) (pow H 3))) (+ 98/5 (+ (* -1 (/ (pow v 2) H)) (* 5/98 (/ (pow v 4) (pow H 2))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* -25/9604 (+ (* -25/9604 (pow v 6)) (* 25/9604 (pow v 6)))) (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* -25/9604 (pow v 6)) (+ (* 25/9604 (pow v 6)) (* 1/4 (/ (* H (pow v 4)) (pow (sqrt -98/5) 2))))) (sqrt -98/5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* -25/9604 (pow v 6)) (+ (* 25/9604 (pow v 6)) (* 1/4 (/ (* H (pow v 4)) (pow (sqrt -98/5) 2))))) (sqrt -98/5)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 9))) (/ (+ (* -125/941192 (pow v 8)) (* 125/941192 (pow v 8))) (sqrt -98/5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(/ (+ (* -25/9604 (/ (pow v 4) H)) (* 5/98 (pow v 2))) H) |
(/ (- (+ (* 125/941192 (/ (pow v 6) (pow H 2))) (* 5/98 (pow v 2))) (* 25/9604 (/ (pow v 4) H))) H) |
(/ (- (+ (* -625/92236816 (/ (pow v 8) (pow H 3))) (* 5/98 (pow v 2))) (+ (* -125/941192 (/ (pow v 6) (pow H 2))) (* 25/9604 (/ (pow v 4) H)))) H) |
(- (+ 5/98 (* 125/941192 (/ (pow v 4) (pow H 2)))) (* 25/9604 (/ (pow v 2) H))) |
(- (+ 5/98 (* -625/92236816 (/ (pow v 6) (pow H 3)))) (+ (* -125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H)))) |
(* H (+ 98/5 (* -1 (/ (pow v 2) H)))) |
(* H (- (+ 98/5 (* 5/98 (/ (pow v 4) (pow H 2)))) (/ (pow v 2) H))) |
(* H (- (+ 98/5 (* -25/9604 (/ (pow v 6) (pow H 3)))) (+ (* -5/98 (/ (pow v 4) (pow H 2))) (/ (pow v 2) H)))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (- (* -5/98 (/ (pow v 4) H)) (* -1 (pow v 2))) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (- (* -1 (/ (- (* -25/9604 (/ (pow v 6) H)) (* -5/98 (pow v 4))) H)) (* -1 (pow v 2))) H))))) |
(atan (* v (sqrt (/ 1 (- (/ (pow v 4) (- (pow v 2) (* -98/5 H))) (* 9604/25 (/ (pow H 2) (- (pow v 2) (* -98/5 H))))))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -25/9604 (+ (* -25/9604 (pow v 6)) (* 25/9604 (pow v 6)))) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* (sqrt -1) (+ (* -1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 2))) (+ (* -25/9604 (pow v 6)) (* 25/9604 (pow v 6))))) (sqrt 98/5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* (sqrt -1) (+ (* -1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 2))) (+ (* -25/9604 (pow v 6)) (* 25/9604 (pow v 6))))) (sqrt 98/5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 9))) (/ (* (sqrt -1) (+ (* -125/941192 (pow v 8)) (* 125/941192 (pow v 8)))) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -1 (/ (+ (* -5/98 (pow v 2)) (* 25/9604 (/ (pow v 4) H))) H)) |
(* -1 (/ (+ (* -1 (/ (- (* 125/941192 (/ (pow v 6) H)) (* 25/9604 (pow v 4))) H)) (* -5/98 (pow v 2))) H)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 8) H)) (* 125/941192 (pow v 6))) H)) (* 25/9604 (pow v 4))) H)) (* -5/98 (pow v 2))) H)) |
(+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* -25/9604 (pow v 2))) H))) |
(+ 5/98 (* -1 (/ (- (* -1 (/ (- (* -625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* -25/9604 (pow v 2))) H))) |
(* -1 (* H (- (/ (pow v 2) H) 98/5))) |
(* -1 (* H (- (* -1 (/ (- (* 5/98 (/ (pow v 4) H)) (pow v 2)) H)) 98/5))) |
(* -1 (* H (- (* -1 (/ (- (* -1 (/ (- (* 25/9604 (/ (pow v 6) H)) (* 5/98 (pow v 4))) H)) (pow v 2)) H)) 98/5))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | 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)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v))) (/ (sqrt (+ (* -98/5 H) (* v v))) v) (sqrt (+ (* -98/5 H) (* v v))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))) (atan (/ v (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))))))) (/ v (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v)))))))) (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))))) (* -98/5 H) (+ (* -98/5 H) (* v v)) (/ (* v v) (+ (* H 98/5) (* v v))) (/ H (+ (* H 98/5) (* v v))) (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))) |
| 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)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v))) (/ (sqrt (+ (* -98/5 H) (* v v))) v) (sqrt (+ (* -98/5 H) (* v v))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))) (atan (/ v (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))))))) (/ v (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v)))))))) (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))))) (* -98/5 H) (+ (* -98/5 H) (* v v)) (/ (* v v) (+ (* H 98/5) (* v v))) (/ H (+ (* H 98/5) (* v v))) (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))) |
| 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)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v))) (/ (sqrt (+ (* -98/5 H) (* v v))) v) (sqrt (+ (* -98/5 H) (* v v))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))) (atan (/ v (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))))))) (/ v (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v)))))))) (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))))) (* -98/5 H) (+ (* -98/5 H) (* v v)) (/ (* v v) (+ (* H 98/5) (* v v))) (/ H (+ (* H 98/5) (* v v))) (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))) |
| 5.0ms | 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)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v))) (/ (sqrt (+ (* -98/5 H) (* v v))) v) (sqrt (+ (* -98/5 H) (* v v))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))) (atan (/ v (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))))))) (/ v (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v)))))))) (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))))) (* -98/5 H) (+ (* -98/5 H) (* v v)) (/ (* v v) (+ (* H 98/5) (* v v))) (/ H (+ (* H 98/5) (* v v))) (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))) |
| 4.0ms | 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)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v))) (/ (sqrt (+ (* -98/5 H) (* v v))) v) (sqrt (+ (* -98/5 H) (* v v))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))) (atan (/ v (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))))))) (/ v (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v)))))))) (sqrt (+ (* (* v v) (/ (* v v) (+ (* H 98/5) (* v v)))) (neg (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))))) (* -98/5 H) (+ (* -98/5 H) (* v v)) (/ (* v v) (+ (* H 98/5) (* v v))) (/ H (+ (* H 98/5) (* v v))) (* (* 9604/25 H) (/ H (+ (* H 98/5) (* v v))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 828 | 4182 |
| 1 | 2588 | 3889 |
| 0 | 8474 | 3635 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(- (pow v 2) (* 98/5 H)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v) |
(- (* (pow v 2) (+ 1 (* -5/98 (/ (pow v 2) H)))) (* 98/5 H)) |
(- (* (pow v 2) (+ 1 (* (pow v 2) (- (* 25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))) (* 98/5 H)) |
(atan (* v (sqrt (/ 1 (- (/ (pow v 4) (+ (* 98/5 H) (pow v 2))) (* 9604/25 (/ (pow H 2) (+ (* 98/5 H) (pow v 2))))))))) |
(* 5/98 (/ (pow v 2) H)) |
(* (pow v 2) (+ (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))) |
(* (pow v 2) (+ (* (pow v 2) (- (* 125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))) |
(* (pow v 2) (+ (* (pow v 2) (- (* (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)))) |
5/98 |
(+ 5/98 (* -25/9604 (/ (pow v 2) H))) |
(+ 5/98 (* (pow v 2) (- (* 125/941192 (/ (pow v 2) (pow H 2))) (* 25/9604 (/ 1 H))))) |
(+ 5/98 (* (pow v 2) (- (* (pow v 2) (+ (* -625/92236816 (/ (pow v 2) (pow H 3))) (* 125/941192 (/ 1 (pow H 2))))) (* 25/9604 (/ 1 H))))) |
(* 98/5 H) |
(+ (* -1 (pow v 2)) (* 98/5 H)) |
(+ (* 98/5 H) (* (pow v 2) (- (* 5/98 (/ (pow v 2) H)) 1))) |
(+ (* 98/5 H) (* (pow v 2) (- (* (pow v 2) (+ (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))) 1))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(+ 1 (* -49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* -9604/25 (/ (pow H 2) (pow v 2))) |
(/ (- (* 941192/125 (/ (pow H 3) (pow v 2))) (* 9604/25 (pow H 2))) (pow v 2)) |
(/ (- (* -92236816/625 (/ (pow H 4) (pow v 4))) (+ (* -941192/125 (/ (pow H 3) (pow v 2))) (* 9604/25 (pow H 2)))) (pow v 2)) |
(/ (- (* 9039207968/3125 (/ (pow H 5) (pow v 6))) (+ (* -941192/125 (/ (pow H 3) (pow v 2))) (+ (* 9604/25 (pow H 2)) (* 92236816/625 (/ (pow H 4) (pow v 4)))))) (pow v 2)) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (* 2401/25 (pow H 2)))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (* 2401/25 (pow H 2)))) (pow v 4))) (+ (* -1/2 (/ (+ (* -98/5 (* H (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2))))) (+ (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (+ (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (* 2401/25 (pow H 2)))))) (+ (* -1 (+ (* -941192/125 (pow H 3)) (* 941192/125 (pow H 3)))) (* 98/5 (* H (+ (* -9604/25 (pow H 2)) (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))))))))) (pow v 6))) (* 49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -49/5 (/ H (pow v 2))) (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* 9604/25 (pow H 2)))) (pow v 4)))))) |
(* v (+ 1 (+ (* -49/5 (/ H (pow v 2))) (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (+ (* 49/5 (* H (+ (* -9604/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* 9604/25 (pow H 2)))))) (* 941192/125 (pow H 3)))) (pow v 6))) (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* 9604/25 (pow H 2)))) (pow v 4))))))) |
(+ 1 (* -98/5 (/ H (pow v 2)))) |
(- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* 98/5 (/ H (pow v 2)))) |
(- (+ 1 (* -941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* 98/5 (/ H (pow v 2))))) |
(/ H (pow v 2)) |
(/ (+ H (* -98/5 (/ (pow H 2) (pow v 2)))) (pow v 2)) |
(/ (- (+ H (* 9604/25 (/ (pow H 3) (pow v 4)))) (* 98/5 (/ (pow H 2) (pow v 2)))) (pow v 2)) |
(/ (- (+ H (* -941192/125 (/ (pow H 4) (pow v 6)))) (+ (* -9604/25 (/ (pow H 3) (pow v 4))) (* 98/5 (/ (pow H 2) (pow v 2))))) (pow v 2)) |
(* 9604/25 (/ (pow H 2) (pow v 2))) |
(/ (+ (* -941192/125 (/ (pow H 3) (pow v 2))) (* 9604/25 (pow H 2))) (pow v 2)) |
(/ (+ (* -941192/125 (/ (pow H 3) (pow v 2))) (+ (* 9604/25 (pow H 2)) (* 92236816/625 (/ (pow H 4) (pow v 4))))) (pow v 2)) |
(/ (+ (* -9039207968/3125 (/ (pow H 5) (pow v 6))) (+ (* -941192/125 (/ (pow H 3) (pow v 2))) (+ (* 9604/25 (pow H 2)) (* 92236816/625 (/ (pow H 4) (pow v 4)))))) (pow v 2)) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(- (* 49/5 (/ H (pow v 2))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (* 2401/25 (pow H 2)))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (* 2401/25 (pow H 2)))) (pow v 4))) (* 1/2 (/ (+ (* -98/5 (* H (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2))))) (+ (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (+ (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (* 2401/25 (pow H 2)))))) (+ (* -1 (+ (* -941192/125 (pow H 3)) (* 941192/125 (pow H 3)))) (* 98/5 (* H (+ (* -9604/25 (pow H 2)) (* -1 (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))))))))) (pow v 6))))) 1) |
(* -1 (* v (+ 1 (+ (* -49/5 (/ H (pow v 2))) (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* 9604/25 (pow H 2)))) (pow v 4))))))) |
(* -1 (* v (+ 1 (+ (* -49/5 (/ H (pow v 2))) (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (+ (* 49/5 (* H (+ (* -9604/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* 9604/25 (pow H 2)))))) (* 941192/125 (pow H 3)))) (pow v 6))) (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* 9604/25 (pow H 2)))) (pow v 4)))))))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(* (pow H 2) (- (* 941192/125 (/ H (pow v 4))) (* 9604/25 (/ 1 (pow v 2))))) |
(* (pow H 2) (- (* H (+ (* -92236816/625 (/ H (pow v 6))) (* 941192/125 (/ 1 (pow v 4))))) (* 9604/25 (/ 1 (pow v 2))))) |
(* (pow H 2) (- (* H (+ (* H (- (* 9039207968/3125 (/ H (pow v 8))) (* 92236816/625 (/ 1 (pow v 6))))) (* 941192/125 (/ 1 (pow v 4))))) (* 9604/25 (/ 1 (pow v 2))))) |
(+ 1 (* H (- (* 9604/25 (/ H (pow v 4))) (* 98/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (- (* H (+ (* -941192/125 (/ H (pow v 6))) (* 9604/25 (/ 1 (pow v 4))))) (* 98/5 (/ 1 (pow v 2)))))) |
(* H (+ (* -98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))) |
(* H (+ (* H (- (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))) |
(* H (+ (* H (- (* H (+ (* -941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))) |
(* (pow H 2) (+ (* -941192/125 (/ H (pow v 4))) (* 9604/25 (/ 1 (pow v 2))))) |
(* (pow H 2) (+ (* H (- (* 92236816/625 (/ H (pow v 6))) (* 941192/125 (/ 1 (pow v 4))))) (* 9604/25 (/ 1 (pow v 2))))) |
(* (pow H 2) (+ (* H (- (* H (+ (* -9039207968/3125 (/ H (pow v 8))) (* 92236816/625 (/ 1 (pow v 6))))) (* 941192/125 (/ 1 (pow v 4))))) (* 9604/25 (/ 1 (pow v 2))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))) |
(* H (- (* -5/98 (/ (pow v 4) (pow H 2))) (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* H (- (* 25/9604 (/ (pow v 6) (pow H 3))) (+ 98/5 (+ (* -1 (/ (pow v 2) H)) (* 5/98 (/ (pow v 4) (pow H 2))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* -25/9604 (+ (* -25/9604 (pow v 6)) (* 25/9604 (pow v 6)))) (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* -25/9604 (pow v 6)) (+ (* 25/9604 (pow v 6)) (* 1/4 (/ (* H (pow v 4)) (pow (sqrt -98/5) 2))))) (sqrt -98/5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* -25/9604 (pow v 6)) (+ (* 25/9604 (pow v 6)) (* 1/4 (/ (* H (pow v 4)) (pow (sqrt -98/5) 2))))) (sqrt -98/5)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 9))) (/ (+ (* -125/941192 (pow v 8)) (* 125/941192 (pow v 8))) (sqrt -98/5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(/ (+ (* -25/9604 (/ (pow v 4) H)) (* 5/98 (pow v 2))) H) |
(/ (- (+ (* 125/941192 (/ (pow v 6) (pow H 2))) (* 5/98 (pow v 2))) (* 25/9604 (/ (pow v 4) H))) H) |
(/ (- (+ (* -625/92236816 (/ (pow v 8) (pow H 3))) (* 5/98 (pow v 2))) (+ (* -125/941192 (/ (pow v 6) (pow H 2))) (* 25/9604 (/ (pow v 4) H)))) H) |
(- (+ 5/98 (* 125/941192 (/ (pow v 4) (pow H 2)))) (* 25/9604 (/ (pow v 2) H))) |
(- (+ 5/98 (* -625/92236816 (/ (pow v 6) (pow H 3)))) (+ (* -125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H)))) |
(* H (+ 98/5 (* -1 (/ (pow v 2) H)))) |
(* H (- (+ 98/5 (* 5/98 (/ (pow v 4) (pow H 2)))) (/ (pow v 2) H))) |
(* H (- (+ 98/5 (* -25/9604 (/ (pow v 6) (pow H 3)))) (+ (* -5/98 (/ (pow v 4) (pow H 2))) (/ (pow v 2) H)))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (- (* -5/98 (/ (pow v 4) H)) (* -1 (pow v 2))) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (- (* -1 (/ (- (* -25/9604 (/ (pow v 6) H)) (* -5/98 (pow v 4))) H)) (* -1 (pow v 2))) H))))) |
(atan (* v (sqrt (/ 1 (- (/ (pow v 4) (- (pow v 2) (* -98/5 H))) (* 9604/25 (/ (pow H 2) (- (pow v 2) (* -98/5 H))))))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -25/9604 (+ (* -25/9604 (pow v 6)) (* 25/9604 (pow v 6)))) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* (sqrt -1) (+ (* -1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 2))) (+ (* -25/9604 (pow v 6)) (* 25/9604 (pow v 6))))) (sqrt 98/5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* (sqrt -1) (+ (* -1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 2))) (+ (* -25/9604 (pow v 6)) (* 25/9604 (pow v 6))))) (sqrt 98/5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 9))) (/ (* (sqrt -1) (+ (* -125/941192 (pow v 8)) (* 125/941192 (pow v 8)))) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -1 (/ (+ (* -5/98 (pow v 2)) (* 25/9604 (/ (pow v 4) H))) H)) |
(* -1 (/ (+ (* -1 (/ (- (* 125/941192 (/ (pow v 6) H)) (* 25/9604 (pow v 4))) H)) (* -5/98 (pow v 2))) H)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 8) H)) (* 125/941192 (pow v 6))) H)) (* 25/9604 (pow v 4))) H)) (* -5/98 (pow v 2))) H)) |
(+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* -25/9604 (pow v 2))) H))) |
(+ 5/98 (* -1 (/ (- (* -1 (/ (- (* -625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* -25/9604 (pow v 2))) H))) |
(* -1 (* H (- (/ (pow v 2) H) 98/5))) |
(* -1 (* H (- (* -1 (/ (- (* 5/98 (/ (pow v 4) H)) (pow v 2)) H)) 98/5))) |
(* -1 (* H (- (* -1 (/ (- (* -1 (/ (- (* 25/9604 (/ (pow v 6) H)) (* 5/98 (pow v 4))) H)) (pow v 2)) H)) 98/5))) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(fma.f64 (fma.f64 (*.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))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.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))) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(- (pow v 2) (* 98/5 H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (sqrt.f64 H)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v) |
(/.f64 (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))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v) |
(/.f64 (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))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v) |
(/.f64 (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))) v) |
(- (* (pow v 2) (+ 1 (* -5/98 (/ (pow v 2) H)))) (* 98/5 H)) |
(fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -5/98 binary64) #s(literal 1 binary64)) v) v (*.f64 #s(literal -98/5 binary64) H)) |
(- (* (pow v 2) (+ 1 (* (pow v 2) (- (* 25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))) (* 98/5 H)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)) (*.f64 v v) #s(literal 1 binary64)) (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) |
(atan (* v (sqrt (/ 1 (- (/ (pow v 4) (+ (* 98/5 H) (pow v 2))) (* 9604/25 (/ (pow H 2) (+ (* 98/5 H) (pow v 2))))))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 (*.f64 H H) (/.f64 #s(literal 9604/25 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))) v)) |
(* 5/98 (/ (pow v 2) H)) |
(*.f64 #s(literal 5/98 binary64) (/.f64 (*.f64 v v) H)) |
(* (pow v 2) (+ (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -25/9604 binary64) (/.f64 (/.f64 (*.f64 v v) H) H) (/.f64 #s(literal 5/98 binary64) H)) v) v) |
(* (pow v 2) (+ (* (pow v 2) (- (* 125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) v) v (/.f64 #s(literal -25/9604 binary64) (*.f64 H H))) (*.f64 v v) (/.f64 #s(literal 5/98 binary64) H)) (*.f64 v v)) |
(* (pow v 2) (+ (* (pow v 2) (- (* (pow v 2) (+ (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 v (/.f64 v (pow.f64 H #s(literal 4 binary64)))) #s(literal -625/92236816 binary64) (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 v v) (/.f64 #s(literal -25/9604 binary64) (*.f64 H H))) (*.f64 v v) (/.f64 #s(literal 5/98 binary64) H)) (*.f64 v v)) |
5/98 |
#s(literal 5/98 binary64) |
(+ 5/98 (* -25/9604 (/ (pow v 2) H))) |
(fma.f64 #s(literal -25/9604 binary64) (/.f64 (*.f64 v v) H) #s(literal 5/98 binary64)) |
(+ 5/98 (* (pow v 2) (- (* 125/941192 (/ (pow v 2) (pow H 2))) (* 25/9604 (/ 1 H))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 H H)) v) v (/.f64 #s(literal -25/9604 binary64) H)) (*.f64 v v) #s(literal 5/98 binary64)) |
(+ 5/98 (* (pow v 2) (- (* (pow v 2) (+ (* -625/92236816 (/ (pow v 2) (pow H 3))) (* 125/941192 (/ 1 (pow H 2))))) (* 25/9604 (/ 1 H))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -625/92236816 binary64) (*.f64 v (/.f64 v (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H H))) (*.f64 v v) (/.f64 #s(literal -25/9604 binary64) H)) (*.f64 v v) #s(literal 5/98 binary64)) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(+ (* -1 (pow v 2)) (* 98/5 H)) |
(fma.f64 (neg.f64 v) v (*.f64 #s(literal 98/5 binary64) H)) |
(+ (* 98/5 H) (* (pow v 2) (- (* 5/98 (/ (pow v 2) H)) 1))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal 5/98 binary64) H) (*.f64 v v) #s(literal -1 binary64)) v) v (*.f64 #s(literal 98/5 binary64) H)) |
(+ (* 98/5 H) (* (pow v 2) (- (* (pow v 2) (+ (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))) 1))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -25/9604 binary64) (/.f64 (/.f64 (*.f64 v v) H) H) (/.f64 #s(literal 5/98 binary64) H)) (*.f64 v v) #s(literal -1 binary64)) v) v (*.f64 #s(literal 98/5 binary64) H)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
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(* H (- (* -5/98 (/ (pow v 4) (pow H 2))) (+ 98/5 (* -1 (/ (pow v 2) H))))) |
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(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 #s(literal -1 binary64)))) v (*.f64 (*.f64 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 H)) (neg.f64 v)) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))) |
(*.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 3 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))) |
(*.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 3 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (- (* -5/98 (/ (pow v 4) H)) (* -1 (pow v 2))) H))))) |
(*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64) (*.f64 v v)) H))) |
(* -1 (* H (+ 98/5 (* -1 (/ (- (* -1 (/ (- (* -25/9604 (/ (pow v 6) H)) (* -5/98 (pow v 4))) H)) (* -1 (pow v 2))) H))))) |
(*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal -25/9604 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 5/98 binary64))) (neg.f64 H)) (*.f64 v v)) H))) |
(atan (* v (sqrt (/ 1 (- (/ (pow v 4) (- (pow v 2) (* -98/5 H))) (* 9604/25 (/ (pow H 2) (- (pow v 2) (* -98/5 H))))))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 (*.f64 H H) (/.f64 #s(literal 9604/25 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))) v)) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -25/9604 (+ (* -25/9604 (pow v 6)) (* 25/9604 (pow v 6)))) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -625/368947264 binary64) H) (/.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 5/98 binary64)) (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64) #s(literal 0 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64)))))) |
(* -1 (* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* (sqrt -1) (+ (* -1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 2))) (+ (* -25/9604 (pow v 6)) (* 25/9604 (pow v 6))))) (sqrt 98/5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 98/5 binary64)) #s(literal -1/4 binary64) #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 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)))))) |
(* -1 (* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* (sqrt -1) (+ (* -1/4 (/ (* H (pow v 4)) (pow (sqrt 98/5) 2))) (+ (* -25/9604 (pow v 6)) (* 25/9604 (pow v 6))))) (sqrt 98/5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 9))) (/ (* (sqrt -1) (+ (* -125/941192 (pow v 8)) (* 125/941192 (pow v 8)))) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 98/5 binary64)) #s(literal -1/4 binary64) #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 9 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 98/5 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (/ (+ (* -5/98 (pow v 2)) (* 25/9604 (/ (pow v 4) H))) H)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 25/9604 binary64) (*.f64 #s(literal -5/98 binary64) (*.f64 v v))) (neg.f64 H)) |
(* -1 (/ (+ (* -1 (/ (- (* 125/941192 (/ (pow v 6) H)) (* 25/9604 (pow v 4))) H)) (* -5/98 (pow v 2))) H)) |
(/.f64 (fma.f64 (*.f64 #s(literal -5/98 binary64) v) v (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 125/941192 binary64) (*.f64 #s(literal -25/9604 binary64) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 H))) (neg.f64 H)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 8) H)) (* 125/941192 (pow v 6))) H)) (* 25/9604 (pow v 4))) H)) (* -5/98 (pow v 2))) H)) |
(/.f64 (fma.f64 (*.f64 #s(literal -5/98 binary64) v) v (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 8 binary64)) H) #s(literal 625/92236816 binary64) (*.f64 #s(literal -125/941192 binary64) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 H)) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/9604 binary64))) (neg.f64 H))) (neg.f64 H)) |
(+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* -25/9604 (pow v 2))) H))) |
(-.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)) |
(+ 5/98 (* -1 (/ (- (* -1 (/ (- (* -625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* -25/9604 (pow v 2))) H))) |
(-.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 (pow.f64 v #s(literal 4 binary64)) #s(literal 125/941192 binary64))) (neg.f64 H)) (*.f64 #s(literal -25/9604 binary64) (*.f64 v v))) H)) |
(* -1 (* H (- (/ (pow v 2) H) 98/5))) |
(*.f64 (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H)) H) |
(* -1 (* H (- (* -1 (/ (- (* 5/98 (/ (pow v 4) H)) (pow v 2)) H)) 98/5))) |
(*.f64 (neg.f64 H) (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64) (*.f64 (neg.f64 v) v)) H) #s(literal 98/5 binary64)))) |
(* -1 (* H (- (* -1 (/ (- (* -1 (/ (- (* 25/9604 (/ (pow v 6) H)) (* 5/98 (pow v 4))) H)) (pow v 2)) H)) 98/5))) |
(*.f64 (neg.f64 H) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 25/9604 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -5/98 binary64))) (neg.f64 H)) (*.f64 v v)) H) #s(literal -1 binary64) #s(literal -98/5 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 289 |
| 0 | 69 | 216 |
| 1 | 221 | 215 |
| 2 | 1330 | 215 |
| 0 | 8753 | 215 |
| 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 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))))) |
(/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))))) |
(sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))) |
(*.f64 #s(literal -98/5 binary64) H) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) |
(/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) |
(*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) |
| Outputs |
|---|
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
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(*.f64 (/.f64 H (-.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -98/5 binary64) (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(*.f64 (/.f64 H (-.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 98/5 binary64) (*.f64 #s(literal 98/5 binary64) H)) (/.f64 #s(literal -1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(*.f64 (/.f64 H (-.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 #s(literal -1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(*.f64 (/.f64 H (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -98/5 binary64) (*.f64 H #s(literal -98/5 binary64))) (pow.f64 (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 H (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 98/5 binary64) (*.f64 #s(literal 98/5 binary64) H)) (pow.f64 (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 H (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 9604/25 binary64) H) (pow.f64 (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 H) (*.f64 #s(literal 9604/25 binary64) H)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) |
(*.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (neg.f64 H)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) |
(*.f64 (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) #s(literal 9604/25 binary64)) H) |
(*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) |
(*.f64 (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) H) #s(literal 9604/25 binary64)) |
(*.f64 (*.f64 #s(literal -9604/25 binary64) H) (/.f64 H (fma.f64 (neg.f64 v) v (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 9604/25 binary64) H) (pow.f64 H #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H) (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) |
(*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (/.f64 #s(literal 9604/25 binary64) (pow.f64 H #s(literal -1 binary64)))) |
(*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 #s(literal 9604/25 binary64) H)) |
(*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) |
(*.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) H)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) #s(literal 9604/25 binary64)) H)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -9604/25 binary64) (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) H))) |
(*.f64 H (*.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) (*.f64 #s(literal 9604/25 binary64) H))) |
(*.f64 H (*.f64 #s(literal 9604/25 binary64) (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) H) #s(literal 3 binary64)) #s(literal 885842380864/15625 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 92236816/625 binary64) (pow.f64 (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) H) #s(literal 2 binary64))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 H) (*.f64 #s(literal 9604/25 binary64) H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (neg.f64 H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) |
(/.f64 (*.f64 (neg.f64 H) (*.f64 #s(literal 9604/25 binary64) H)) (fma.f64 (neg.f64 v) v (*.f64 H #s(literal -98/5 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (neg.f64 H)) (fma.f64 (neg.f64 v) v (*.f64 H #s(literal -98/5 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 92236816/625 binary64) (pow.f64 (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) H) #s(literal 2 binary64)))) (*.f64 #s(literal -9604/25 binary64) (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) H))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)) (fma.f64 (neg.f64 v) v (*.f64 H #s(literal -98/5 binary64)))) |
(/.f64 (*.f64 #s(literal -9604/25 binary64) H) (neg.f64 (/.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) H))) |
(/.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) |
(/.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) H)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 H #s(literal -98/5 binary64))) (*.f64 (neg.f64 H) (*.f64 #s(literal 9604/25 binary64) H)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 H #s(literal -98/5 binary64))) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (neg.f64 H)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) H) (*.f64 #s(literal 9604/25 binary64) H))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))) |
(neg.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) H))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -9604/25 binary64) (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) H))) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) #s(literal 9604/25 binary64)) H)) |
Compiled 39 031 to 5 539 computations (85.8% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 010 | 8 | 1 018 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 016 | 15 | 1 031 |
| Status | Accuracy | Program |
|---|---|---|
| 64.9% | (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) | |
| 69.5% | (atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) | |
| 68.6% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 (/.f64 v (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) v) (*.f64 v v) (*.f64 #s(literal -9604/25 binary64) (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) H)))))) | |
| 32.4% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) #s(approx (/ (* v v) (+ (* H 98/5) (* v v))) (*.f64 #s(literal 5/98 binary64) (/.f64 (*.f64 v v) H))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))))) | |
| ✓ | 69.6% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| 24.1% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))))) | |
| ✓ | 36.5% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| ▶ | 54.5% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
| 36.0% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) v))) | |
| ▶ | 69.0% | (atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) |
| ▶ | 36.4% | (atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))) |
| 39.1% | (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)))) | |
| ▶ | 33.3% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 39.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ▶ | 69.5% | #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 602 to 427 computations (29.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) | |
| cost-diff | 640 | (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) | |
| cost-diff | 704 | (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) v) | |
| cost-diff | 0 | (atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) | |
| cost-diff | 0 | (neg.f64 v) | |
| cost-diff | 0 | (atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))) | |
| cost-diff | 448 | (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #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 | 48 | 387 |
| 0 | 77 | 369 |
| 1 | 114 | 360 |
| 2 | 188 | 350 |
| 3 | 392 | 350 |
| 4 | 1474 | 323 |
| 5 | 4434 | 323 |
| 6 | 5688 | 323 |
| 7 | 6263 | 323 |
| 8 | 6384 | 323 |
| 9 | 6450 | 323 |
| 10 | 6511 | 323 |
| 11 | 7887 | 323 |
| 0 | 8060 | 322 |
| 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 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(neg.f64 v) |
v |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) |
#s(literal -1 binary64) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 H #s(literal -98/5 binary64)) |
H |
#s(literal -98/5 binary64) |
(atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 #s(literal -1 binary64) v) |
#s(literal -1 binary64) |
v |
(neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 H #s(literal -98/5 binary64)) |
H |
#s(literal -98/5 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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 |
|---|
#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 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (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) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(neg.f64 v) |
v |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) |
#s(literal -1 binary64) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) |
(sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
#s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal -98/5 binary64) H) |
H |
#s(literal -98/5 binary64) |
(atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) |
(/.f64 #s(literal -1 binary64) v) |
#s(literal -1 binary64) |
v |
(neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal -98/5 binary64) H) |
H |
#s(literal -98/5 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
v |
(sqrt.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
#s(approx (+ (* v v) (* -98/5 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) (* -98/5 H)) (fma.f64 #s(literal -98/5 binary64) H (*.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 #s(literal -98/5 binary64) H (*.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 | 4.1797313573402 | (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) | |
| accuracy | 4.289002109877089 | (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) | |
| accuracy | 8.525168029444572 | (/.f64 H (*.f64 v v)) | |
| accuracy | 18.449518809092186 | (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) | |
| accuracy | 0.171875 | (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) | |
| accuracy | 0.3486665211526281 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) | |
| accuracy | 0.46875 | (*.f64 H #s(literal -98/5 binary64)) | |
| accuracy | 18.449518809092186 | (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) | |
| accuracy | 0.15625 | (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) | |
| accuracy | 0.46875 | (*.f64 H #s(literal -98/5 binary64)) | |
| accuracy | 18.449518809092186 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) | |
| accuracy | 42.48081039945356 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) | |
| accuracy | 0.0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) | |
| accuracy | 40.971784373590964 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) | |
| accuracy | 0.1484375 | (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) | |
| accuracy | 0.15625 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) | |
| accuracy | 0.4928671440964064 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) | |
| accuracy | 18.009195690540952 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
| 109.0ms | 249× | 0 | valid |
| 11.0ms | 7× | 5 | exit |
Compiled 733 to 91 computations (87.6% saved)
ival-atan: 30.0ms (32.2% of total)ival-mult: 25.0ms (26.8% of total)ival-div: 12.0ms (12.9% of total)const: 8.0ms (8.6% of total)ival-sqrt: 7.0ms (7.5% of total)ival-add: 5.0ms (5.4% of total)adjust: 2.0ms (2.1% of total)ival-neg: 2.0ms (2.1% of total)ival-sub: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* 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)) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))) |
(neg.f64 v) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) |
(/.f64 #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) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) |
(/.f64 #s(literal 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 (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) |
(*.f64 H #s(literal -98/5 binary64)) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) |
(/.f64 H (*.f64 v v)) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(* -1 v) |
(* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* (pow v 2) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* 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))))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* (pow v 2) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* 1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* 1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v) |
(/ -1 v) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(* -98/5 (/ H v)) |
(/ (+ (* -98/5 H) (pow v 2)) v) |
(/ -5/98 H) |
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(- (pow v 2) (* 98/5 H)) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(/ H (pow v 2)) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(/ 1 v) |
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v) |
(/ (- (* -49/5 (/ H (pow v 2))) 1) v) |
(/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v) |
(/ (- (+ (* -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) v) |
(+ 1 (* -49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
v |
(* v (+ 1 (* -98/5 (/ H (pow v 2))))) |
(/ 1 (pow v 2)) |
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)) |
(* -1 (/ (- (* -49/5 (/ H (pow v 2))) 1) v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) v)) |
(- (* 49/5 (/ H (pow v 2))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1) |
(* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1))) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v)) |
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(- (* -49/5 (/ H (pow v 3))) (/ 1 v)) |
(- (* H (- (* -7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(- (* H (- (* H (- (* -117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ v (* -98/5 (/ H v))) |
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))) |
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* 1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98))))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ v H) (* 98/5 (/ 1 v)))) |
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H) |
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H) |
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* -1 (/ (+ (* -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)))) (* -125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98))))) (pow H 3))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | 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)))) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5)))))) (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5))))) (atan (/ 1 (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5))))))) (/ -1 v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (+ (* (/ H (* v v)) -98/5) 1) v) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (- (* v v) (* (* 2 49/5) H)) (sqrt (- (* v v) (* (* 2 49/5) H))) (* H -98/5) (sqrt (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* -98/5 H))) (/ H (* v v))) |
| 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)))) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5)))))) (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5))))) (atan (/ 1 (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5))))))) (/ -1 v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (+ (* (/ H (* v v)) -98/5) 1) v) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (- (* v v) (* (* 2 49/5) H)) (sqrt (- (* v v) (* (* 2 49/5) H))) (* H -98/5) (sqrt (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* -98/5 H))) (/ H (* v v))) |
| 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)))) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5)))))) (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5))))) (atan (/ 1 (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5))))))) (/ -1 v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (+ (* (/ H (* v v)) -98/5) 1) v) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (- (* v v) (* (* 2 49/5) H)) (sqrt (- (* v v) (* (* 2 49/5) H))) (* H -98/5) (sqrt (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* -98/5 H))) (/ H (* v v))) |
| 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)))) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5)))))) (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5))))) (atan (/ 1 (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5))))))) (/ -1 v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (+ (* (/ H (* v v)) -98/5) 1) v) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (- (* v v) (* (* 2 49/5) H)) (sqrt (- (* v v) (* (* 2 49/5) H))) (* H -98/5) (sqrt (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* -98/5 H))) (/ H (* v v))) |
| 2.0ms | H | @ | 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)))) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5)))))) (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5))))) (atan (/ 1 (* (/ -1 v) (neg (sqrt (+ (* v v) (* H -98/5))))))) (/ -1 v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (+ (* (/ H (* v v)) -98/5) 1) v) (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (- (* v v) (* (* 2 49/5) H)) (sqrt (- (* v v) (* (* 2 49/5) H))) (* H -98/5) (sqrt (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* -98/5 H))) (/ H (* v v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 606 | 3717 |
| 1 | 1819 | 3569 |
| 2 | 6057 | 3543 |
| 0 | 8069 | 3328 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(* -1 v) |
(* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* (pow v 2) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* 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))))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* (pow v 2) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* 1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* 1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v) |
(/ -1 v) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(* -98/5 (/ H v)) |
(/ (+ (* -98/5 H) (pow v 2)) v) |
(/ -5/98 H) |
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(- (pow v 2) (* 98/5 H)) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(/ H (pow v 2)) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(/ 1 v) |
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v) |
(/ (- (* -49/5 (/ H (pow v 2))) 1) v) |
(/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v) |
(/ (- (+ (* -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) v) |
(+ 1 (* -49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
v |
(* v (+ 1 (* -98/5 (/ H (pow v 2))))) |
(/ 1 (pow v 2)) |
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)) |
(* -1 (/ (- (* -49/5 (/ H (pow v 2))) 1) v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) v)) |
(- (* 49/5 (/ H (pow v 2))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1) |
(* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1))) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v)) |
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(- (* -49/5 (/ H (pow v 3))) (/ 1 v)) |
(- (* H (- (* -7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(- (* H (- (* H (- (* -117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ v (* -98/5 (/ H v))) |
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))) |
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* 1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98))))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ v H) (* 98/5 (/ 1 v)))) |
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H) |
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H) |
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* -1 (/ (+ (* -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)))) (* -125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98))))) (pow H 3))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 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 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 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)))) |
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(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H) |
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -625/92236816 binary64)) (pow.f64 H #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 125/941192 binary64) H) (/.f64 (pow.f64 v #s(literal 4 binary64)) H) (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64)))) H) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64)))))) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64)))))) |
(* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (neg.f64 (sqrt.f64 #s(literal 5/98 binary64)))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 25/19208 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(fma.f64 (*.f64 #s(literal 125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 25/19208 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* -1 (/ (+ (* -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)))) (* -125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98))))) (pow H 3))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(-.f64 (*.f64 (*.f64 #s(literal 25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 H)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v) (*.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))) |
(*.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 5 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v) (*.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))) |
(*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 98/5 binary64) v)) H) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(/.f64 (-.f64 #s(literal -5/98 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64))) H) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 #s(literal -25/9604 binary64) (*.f64 v v) (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -25/9604 binary64) v) v (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) (neg.f64 H))) H)) (neg.f64 H)) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 318 |
| 0 | 77 | 291 |
| 1 | 231 | 285 |
| 2 | 1183 | 281 |
| 0 | 8774 | 281 |
| 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)))) |
(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)) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))) |
(neg.f64 v) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) |
(/.f64 #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) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) |
(/.f64 #s(literal 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 (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) |
(*.f64 H #s(literal -98/5 binary64)) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) |
(/.f64 H (*.f64 v v)) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal -1 binary64)) v) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64)) (neg.f64 v)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) (/.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) v)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 v)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (neg.f64 v) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v) |
(*.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 (pow.f64 v #s(literal 3 binary64)))) (fma.f64 v v #s(literal 0 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (*.f64 (neg.f64 v) v)) v) |
(/.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal -1 binary64)) (pow.f64 v #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) v)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (/.f64 #s(literal -1 binary64) v)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 v #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) |
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (pow.f64 v #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 0 binary64) (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 0 binary64)) (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(+.f64 #s(literal 0 binary64) (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))) |
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 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 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1/2 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 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.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))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.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) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.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)) |
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
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(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (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 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 (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 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 3/2 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 0 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 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 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))) (sqrt.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 (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)))) (sqrt.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (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 #s(literal 0 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(*.f64 (pow.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 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))) |
(*.f64 (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* v v) (* -98/5 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)) |
(pow.f64 (*.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 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 (pow.f64 #s(approx (+ (* v v) (* -98/5 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)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ (* v v) (* -98/5 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)) |
(/.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* v v) (* -98/5 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))) |
(neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 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))) |
(*.f64 (*.f64 (/.f64 H v) #s(literal 1 binary64)) (pow.f64 v #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 H)) (neg.f64 (pow.f64 v #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 v v) H) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 H) v) (/.f64 #s(literal -1 binary64) v)) |
(*.f64 (/.f64 H v) (pow.f64 v #s(literal -1 binary64))) |
(*.f64 (pow.f64 v #s(literal -2 binary64)) (pow.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 v #s(literal -2 binary64)) H) |
(*.f64 (pow.f64 v #s(literal -1 binary64)) (/.f64 H v)) |
(*.f64 (neg.f64 H) (*.f64 (neg.f64 (pow.f64 v #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 H) (neg.f64 (pow.f64 v #s(literal -2 binary64)))) |
(*.f64 (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (neg.f64 H) v)) |
(*.f64 #s(literal -1 binary64) (/.f64 H (*.f64 (neg.f64 v) v))) |
(*.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v v))) |
(*.f64 H (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 H (pow.f64 v #s(literal -2 binary64))) |
(pow.f64 (/.f64 (*.f64 v v) H) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 H v) #s(literal -1 binary64)) (neg.f64 v)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 H) v)) (neg.f64 v)) |
(/.f64 (*.f64 (neg.f64 H) #s(literal 1 binary64)) (*.f64 (neg.f64 v) v)) |
(/.f64 (*.f64 H #s(literal -1 binary64)) (*.f64 (neg.f64 v) v)) |
(/.f64 (*.f64 (/.f64 H v) #s(literal 1 binary64)) v) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 H)) (*.f64 (neg.f64 v) v)) |
(/.f64 (/.f64 (neg.f64 H) v) (neg.f64 v)) |
(/.f64 (/.f64 H v) v) |
(/.f64 (neg.f64 H) (*.f64 (neg.f64 v) v)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 v) v) H)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) H)) |
(/.f64 H (*.f64 v v)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 H) v) v)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 v v) H))) |
(neg.f64 (/.f64 (/.f64 H v) (neg.f64 v))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 H (*.f64 (neg.f64 v) v)))) |
(neg.f64 (*.f64 (/.f64 H (*.f64 (neg.f64 v) v)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 H (*.f64 (neg.f64 v) v))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 v) v)) (/.f64 H (*.f64 (neg.f64 v) v))) |
(-.f64 #s(literal 0 binary64) (/.f64 H (*.f64 (neg.f64 v) v))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 v v) H)) #s(literal -1 binary64))) |
Compiled 29 052 to 4 791 computations (83.5% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 845 | 4 | 849 |
| Fresh | 6 | 1 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 854 | 10 | 864 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 36.4% | (atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v))) |
| ✓ | 69.6% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| ✓ | 36.5% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| ✓ | 54.5% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
| ▶ | 33.3% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) |
| ▶ | 24.0% | (atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))))) |
| ▶ | 39.1% | (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)))) |
| ✓ | 33.3% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 39.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ▶ | 36.6% | #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 343 to 261 computations (23.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))) | |
| cost-diff | 448 | (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))))) | |
| cost-diff | 1344 | (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v))) | |
| cost-diff | 1408 | (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v)) | |
| cost-diff | 0 | #s(approx (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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 (/ 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 #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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 548 |
| 0 | 95 | 500 |
| 1 | 139 | 500 |
| 2 | 234 | 484 |
| 3 | 431 | 484 |
| 4 | 1604 | 460 |
| 5 | 4456 | 460 |
| 6 | 6971 | 460 |
| 0 | 8048 | 432 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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) |
#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 (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v)) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) |
#s(literal -1 binary64) |
(sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
(/.f64 #s(literal -1 binary64) v) |
v |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))))) |
(neg.f64 v) |
v |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))) |
#s(literal -1 binary64) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))) |
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))) |
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) |
#s(literal -9604/25 binary64) |
(*.f64 H H) |
H |
(+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))) |
#s(literal 0 binary64) |
(*.f64 H #s(literal 98/5 binary64)) |
#s(literal 98/5 binary64) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #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) |
#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 (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v)) |
(/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) |
#s(literal -1 binary64) |
(sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
(/.f64 #s(literal -1 binary64) v) |
v |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))))) |
(/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(neg.f64 v) |
v |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) |
#s(literal -1 binary64) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))) |
(sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))) |
#s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)) |
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) |
(*.f64 (*.f64 H H) #s(literal -9604/25 binary64)) |
#s(literal -9604/25 binary64) |
(*.f64 H H) |
H |
(+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))) |
(*.f64 H #s(literal 98/5 binary64)) |
#s(literal 0 binary64) |
(*.f64 H #s(literal 98/5 binary64)) |
#s(literal 98/5 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.46875 | (*.f64 H #s(literal 98/5 binary64)) | |
| accuracy | 18.449518809092186 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))) | |
| accuracy | 27.82369757673471 | (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))) | |
| accuracy | 42.48081039945356 | #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))) | |
| accuracy | 0.109375 | (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) | |
| accuracy | 0.46875 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 18.449518809092186 | (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| accuracy | 42.48081039945356 | #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| accuracy | 0.41459261439884537 | (*.f64 (/.f64 H v) #s(literal -98/5 binary64)) | |
| accuracy | 4.289002109877089 | (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v) | |
| accuracy | 18.449518809092186 | (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))) | |
| accuracy | 42.76613706045686 | #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) | |
| accuracy | 0.1328125 | (/.f64 #s(literal -5/98 binary64) H) | |
| accuracy | 0.15625 | (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) | |
| accuracy | 18.009195690540952 | (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) | |
| accuracy | 42.4453358358687 | #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) | |
| accuracy | 0.0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) | |
| accuracy | 0.06640625 | (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) | |
| accuracy | 8.525168029444572 | (/.f64 H (*.f64 v v)) | |
| accuracy | 38.05672130554583 | #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))) |
| 150.0ms | 249× | 0 | valid |
| 65.0ms | 7× | 5 | exit |
Compiled 907 to 119 computations (86.9% saved)
ival-mult: 72.0ms (51.3% of total)const: 21.0ms (15% of total)ival-div: 19.0ms (13.5% of total)ival-atan: 11.0ms (7.8% of total)ival-sqrt: 6.0ms (4.3% of total)ival-add: 6.0ms (4.3% of total)adjust: 2.0ms (1.4% of total)ival-sub: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(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)) |
#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))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v)) |
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H))) |
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))))) |
(+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 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 (/.f64 H v) #s(literal -98/5 binary64)) |
#s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))) |
(*.f64 H #s(literal 98/5 binary64)) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* -49/5 (/ H (pow v 2))) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/ H (pow v 2)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* (pow v 2) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* 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))))))) |
(+ (* -1 (* (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))))))))) |
(/ -5/98 H) |
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(* -98/5 (/ H v)) |
(/ (+ (* -98/5 H) (pow v 2)) v) |
(- (pow v 2) (* 98/5 H)) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(/ 1 v) |
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(/ -1 v) |
(/ (- (* -49/5 (/ H (pow v 2))) 1) v) |
(/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v) |
(/ (- (+ (* -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) v) |
(/ 1 (pow v 2)) |
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) |
(* v (+ 1 (* -98/5 (/ H (pow v 2))))) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(* -1 (/ (- (* -49/5 (/ H (pow v 2))) 1) v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) v)) |
(* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v)) |
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(- (* -49/5 (/ H (pow v 3))) (/ 1 v)) |
(- (* H (- (* -7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(- (* H (- (* H (- (* -117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(* 98/5 H) |
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))) |
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(+ v (* -98/5 (/ H v))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* 1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98))))))) |
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H) |
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H) |
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H) |
(* H (- (/ v H) (* 98/5 (/ 1 v)))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* -1 (/ (+ (* -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)))) (* -125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98))))) (pow H 3))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | v | @ | inf | ((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))))) (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) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (/ (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (/ -1 v)) (atan (/ (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (/ -1 v))) (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (/ (* -9604/25 (* H H)) (+ 0 (* H 98/5))) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (+ 0 (* H 98/5)) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (/ H v) -98/5) (+ (* v v) (* -98/5 H)) (* -98/5 H) (- (* v v) (* (* 2 49/5) H)) (sqrt (- (* v v) (* (* 2 49/5) H))) (* H 98/5)) |
| 4.0ms | H | @ | 0 | ((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))))) (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) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (/ (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (/ -1 v)) (atan (/ (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (/ -1 v))) (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (/ (* -9604/25 (* H H)) (+ 0 (* H 98/5))) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (+ 0 (* H 98/5)) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (/ H v) -98/5) (+ (* v v) (* -98/5 H)) (* -98/5 H) (- (* v v) (* (* 2 49/5) H)) (sqrt (- (* v v) (* (* 2 49/5) H))) (* H 98/5)) |
| 3.0ms | H | @ | -inf | ((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))))) (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) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (/ (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (/ -1 v)) (atan (/ (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (/ -1 v))) (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (/ (* -9604/25 (* H H)) (+ 0 (* H 98/5))) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (+ 0 (* H 98/5)) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (/ H v) -98/5) (+ (* v v) (* -98/5 H)) (* -98/5 H) (- (* v v) (* (* 2 49/5) H)) (sqrt (- (* v v) (* (* 2 49/5) H))) (* H 98/5)) |
| 3.0ms | H | @ | inf | ((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))))) (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) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (/ (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (/ -1 v)) (atan (/ (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (/ -1 v))) (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (/ (* -9604/25 (* H H)) (+ 0 (* H 98/5))) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (+ 0 (* H 98/5)) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (/ H v) -98/5) (+ (* v v) (* -98/5 H)) (* -98/5 H) (- (* v v) (* (* 2 49/5) H)) (sqrt (- (* v v) (* (* 2 49/5) H))) (* H 98/5)) |
| 3.0ms | v | @ | 0 | ((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))))) (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) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (/ (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (/ -1 v)) (atan (/ (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (/ -1 v))) (/ -1 (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (/ (* -9604/25 (* H H)) (+ 0 (* H 98/5))) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (+ 0 (* H 98/5)) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (* (+ (* (/ H (* v v)) -98/5) 1) v) (* (* (+ (* (/ H (* v v)) -98/5) 1) v) v) (* (/ H v) -98/5) (+ (* v v) (* -98/5 H)) (* -98/5 H) (- (* v v) (* (* 2 49/5) H)) (sqrt (- (* v v) (* (* 2 49/5) H))) (* H 98/5)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 550 | 3172 |
| 1 | 1629 | 3027 |
| 2 | 5386 | 2996 |
| 0 | 8187 | 2812 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* -49/5 (/ H (pow v 2))) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/ H (pow v 2)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* (pow v 2) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* 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))))))) |
(+ (* -1 (* (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))))))))) |
(/ -5/98 H) |
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(* -98/5 (/ H v)) |
(/ (+ (* -98/5 H) (pow v 2)) v) |
(- (pow v 2) (* 98/5 H)) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(/ 1 v) |
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(/ -1 v) |
(/ (- (* -49/5 (/ H (pow v 2))) 1) v) |
(/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v) |
(/ (- (+ (* -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) v) |
(/ 1 (pow v 2)) |
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) |
(* v (+ 1 (* -98/5 (/ H (pow v 2))))) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(* -1 (/ (- (* -49/5 (/ H (pow v 2))) 1) v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) v)) |
(* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v)) |
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(- (* -49/5 (/ H (pow v 3))) (/ 1 v)) |
(- (* H (- (* -7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(- (* H (- (* H (- (* -117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(* 98/5 H) |
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))) |
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(+ v (* -98/5 (/ H v))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* 1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98))))))) |
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H) |
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H) |
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H) |
(* H (- (/ v H) (* 98/5 (/ 1 v)))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* -1 (/ (+ (* -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)))) (* -125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98))))) (pow H 3))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 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 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 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) |
(* -49/5 (/ H (pow v 2))) |
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) |
(/ H (pow v 2)) |
(/.f64 H (*.f64 v v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) |
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v |
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(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64)) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 H))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98))))) |
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 v v))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* -1 (/ (+ (* -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)))) (* -125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98))))) (pow H 3))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(-.f64 (*.f64 (*.f64 #s(literal 25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))))) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 #s(literal -25/9604 binary64) (*.f64 v v) (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -25/9604 binary64) v) v (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) (neg.f64 H))) H)) (neg.f64 H)) |
(* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v))))) |
(*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 98/5 binary64) v)) H) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 487 |
| 0 | 95 | 447 |
| 1 | 294 | 435 |
| 2 | 1821 | 431 |
| 0 | 9012 | 404 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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)) |
#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))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v)) |
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H))) |
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))))) |
(+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))))) |
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal -5/98 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 (/.f64 H v) #s(literal -98/5 binary64)) |
#s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))))) |
(*.f64 H #s(literal 98/5 binary64)) |
| Outputs |
|---|
(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 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal -2 binary64)) #s(literal 2401/25 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal -3 binary64)) #s(literal -117649/125 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal -2 binary64)) #s(literal 2401/25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))))))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal -2 binary64)) #s(literal 2401/25 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal -3 binary64)) #s(literal -117649/125 binary64) #s(literal -1 binary64)) (/.f64 #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 (*.f64 v v) H) #s(literal -3 binary64)) #s(literal -117649/125 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal -2 binary64)) #s(literal 2401/25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
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(pow.f64 (/.f64 #s(literal 5/98 binary64) H) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) H)) #s(literal -98/5 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 5/98 binary64))) (neg.f64 H)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (/.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) H))) (*.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 98/5 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 5/98 binary64)))) (*.f64 (*.f64 #s(literal -98/5 binary64) H) H)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (neg.f64 H))) (*.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 5/98 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (/.f64 #s(literal 5/98 binary64) H))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -98/5 binary64) H) H)) (*.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -5/98 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -2 binary64))) (/.f64 #s(literal 5/98 binary64) H)) |
(/.f64 (/.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) H) #s(literal 98/5 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 5/98 binary64)) H) |
(/.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 #s(literal -98/5 binary64) H)) |
(/.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) |
(/.f64 (neg.f64 H) #s(literal 5/98 binary64)) |
(/.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 H H))) |
(/.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (/.f64 #s(literal 5/98 binary64) H))) |
(/.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) H))) |
(/.f64 #s(literal 1 binary64) (/.f64 H (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 5/98 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/98 binary64) H)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)) |
(/.f64 H #s(literal -5/98 binary64)) |
(neg.f64 (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 5/98 binary64) H) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 5/98 binary64) H) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 H (*.f64 #s(literal -9604/25 binary64) H)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 98/5 binary64) H) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 98/5 binary64) (*.f64 #s(literal -9604/25 binary64) H)) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 H #s(literal -25/9604 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 98/5 binary64) (*.f64 H H)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 98/5 binary64) (*.f64 H H)) #s(literal -1 binary64)) (pow.f64 (*.f64 H #s(literal -25/9604 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 H (*.f64 H H)) #s(literal -1 binary64)) #s(literal -98/5 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -98/5 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -2 binary64))) (*.f64 #s(literal -98/5 binary64) H) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) H) #s(literal 5/98 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 5/98 binary64)) (pow.f64 H #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal -9604/25 binary64) H) H) (*.f64 H #s(literal 5/98 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -9604/25 binary64) H) #s(literal 5/98 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 H H) #s(literal 5/98 binary64)) (/.f64 #s(literal -9604/25 binary64) H) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -9604/25 binary64) H) (*.f64 (*.f64 H H) #s(literal 5/98 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 H H) H) #s(literal -98/5 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 H #s(literal 5/98 binary64)) #s(literal 1 binary64)) #s(literal -9604/25 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -9604/25 binary64) H) (*.f64 H (/.f64 #s(literal 5/98 binary64) H)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 5/98 binary64) H) (pow.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 5/98 binary64) H) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 H #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (/.f64 #s(literal 5/98 binary64) H) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 5/98 binary64) (pow.f64 (*.f64 H (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 H) #s(literal 98/5 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 H H) (*.f64 #s(literal -9604/25 binary64) (/.f64 #s(literal 5/98 binary64) H)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -9604/25 binary64) (*.f64 (*.f64 H #s(literal 5/98 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -98/5 binary64) (pow.f64 (/.f64 H (*.f64 H H)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -98/5 binary64) (pow.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -98/5 binary64) (/.f64 (*.f64 H H) H) #s(literal 0 binary64)) |
(fma.f64 #s(literal -98/5 binary64) H #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -98/5 binary64) H) #s(literal 0 binary64)) |
(fma.f64 H #s(literal -98/5 binary64) #s(literal 0 binary64)) |
(fma.f64 H #s(literal 98/5 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 98/5 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 98/5 binary64) (neg.f64 H) #s(literal 0 binary64)) |
(fma.f64 #s(literal 98/5 binary64) H #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 H #s(literal 5/98 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
(-.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 5/98 binary64) H)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
(+.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 0 binary64)) |
Compiled 16 985 to 2 846 computations (83.2% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 501 | 2 | 503 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 503 | 10 | 513 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 36.4% | (atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v))) |
| ✓ | 69.6% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| ✓ | 36.5% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| ✓ | 54.5% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))) |
| ✓ | 39.1% | (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)))) |
| ✓ | 33.3% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 39.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| 36.4% | #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 1 binary64) (*.f64 #s(literal -98/5 binary64) H)))) v))) | |
| ✓ | 36.6% | #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))) |
| 36.5% | #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 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v))) |
Compiled 842 to 376 computations (55.3% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
#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))))) |
#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 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H)))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))) |
#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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) v))) |
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 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) (* -98/5 H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))))) |
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))) |
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) #s(approx (/ (* v v) (+ (* H 98/5) (* v v))) (*.f64 #s(literal 5/98 binary64) (/.f64 (*.f64 v v) H))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 (/.f64 v (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) v) (*.f64 v v) (*.f64 #s(literal -9604/25 binary64) (*.f64 (/.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) H)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))))) |
(atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v)) |
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (fma.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))) |
5 calls:
| 11.0ms | H |
| 10.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 8.0ms | v |
| 7.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 7.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | v |
| 74.0% | 2 | H |
| 82.2% | 3 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 82.2% | 3 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 74.0% | 2 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) 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)))) |
#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))))) |
#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 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H)))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))) |
#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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) v))) |
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 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) (* -98/5 H)) (*.f64 #s(approx (* (+ (* (/ H (* v v)) -98/5) 1) v) (*.f64 (/.f64 H v) #s(literal -98/5 binary64))) v))))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* v v) (* -98/5 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))))) |
| 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))) |
1 calls:
| 8.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 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)))) |
#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))))) |
#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 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H)))) v))) |
| 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:
| 3.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 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)))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
5 calls:
| 2.0ms | H |
| 2.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 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 |
|---|---|---|
| 43.0% | 3 | H |
| 43.0% | 3 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 55.7% | 2 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 55.7% | 2 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 70.7% | 2 | v |
Compiled 32 to 31 computations (3.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
5 calls:
| 4.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 1.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 1.0ms | v |
| 1.0ms | H |
| 1.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.1% | 1 | H |
| 39.1% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 39.1% | 1 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 39.1% | 1 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 39.1% | 1 | v |
Compiled 32 to 31 computations (3.1% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 5.693353840920146e+114 | 1.272771300355977e+118 |
| 2.0ms | -1.0301726469674598e+156 | -4.886793314664806e+147 |
| 3.0ms | 32× | 0 | valid |
Compiled 94 to 70 computations (25.5% saved)
ival-mult: 1.0ms (46.3% of total)const: 1.0ms (46.3% of total)ival-div: 0.0ms (0% of total)ival-atan: 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× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.693353840920146e+114 | 1.272771300355977e+118 |
| 0.0ms | -1.0301726469674598e+156 | -4.886793314664806e+147 |
Compiled 66 to 62 computations (6.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 3.965448835862843e-65 | 2.208156240073513e-64 |
| 28.0ms | -4.460635919983716e-86 | -1.580094312628103e-101 |
| 28.0ms | 256× | 0 | valid |
| 7.0ms | 84× | 0 | invalid |
Compiled 752 to 624 computations (17% saved)
ival-mult: 6.0ms (31% of total)const: 5.0ms (25.8% of total)ival-div: 2.0ms (10.3% of total)ival-atan: 2.0ms (10.3% of total)ival-sub: 2.0ms (10.3% of total)ival-sqrt: 2.0ms (10.3% 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 |
|---|---|---|
| 36.0ms | -8.814118968552923e-303 | 4.5580202638420156e-304 |
| 20.0ms | 160× | 0 | valid |
| 7.0ms | 96× | 0 | invalid |
Compiled 316 to 296 computations (6.3% saved)
ival-atan: 9.0ms (42.4% of total)ival-mult: 5.0ms (23.6% of total)const: 3.0ms (14.1% of total)ival-sqrt: 2.0ms (9.4% of total)ival-div: 1.0ms (4.7% of total)ival-sub: 1.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 208 |
| 1 | 69 | 208 |
| 2 | 79 | 208 |
| 3 | 91 | 208 |
| 4 | 114 | 208 |
| 5 | 148 | 208 |
| 6 | 259 | 208 |
| 7 | 1804 | 208 |
| 8 | 5420 | 208 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 v #s(literal -999999999999999983359180223191721714560372275017470536367007614460468417501012554531477876945938741751237388344363105067534507348164573733465510370326085632 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (fma.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))))) |
(if (<=.f64 v #s(literal -999999999999999983359180223191721714560372275017470536367007614460468417501012554531477876945938741751237388344363105067534507348164573733465510370326085632 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400 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 -3079649020494481/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 3038384421587177/14821387422376473014217086081112052205218558037201992197050570753012880593911808 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -999999999999999983359180223191721714560372275017470536367007614460468417501012554531477876945938741751237388344363105067534507348164573733465510370326085632 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (fma.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))))) |
(if (<=.f64 v #s(literal -999999999999999983359180223191721714560372275017470536367007614460468417501012554531477876945938741751237388344363105067534507348164573733465510370326085632 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400 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 -3079649020494481/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 3038384421587177/14821387422376473014217086081112052205218558037201992197050570753012880593911808 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 606 | 3717 |
| 1 | 1819 | 3569 |
| 2 | 6057 | 3543 |
| 0 | 8069 | 3328 |
| 0 | 11 | 40 |
| 0 | 19 | 40 |
| 1 | 50 | 40 |
| 2 | 275 | 40 |
| 3 | 2262 | 40 |
| 0 | 8997 | 36 |
| 0 | 323 | 1366 |
| 1 | 933 | 1320 |
| 2 | 3177 | 1297 |
| 3 | 7294 | 1288 |
| 0 | 8081 | 1208 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 294 to 137 computations (53.4% saved)
Compiled 482 to 144 computations (70.1% saved)
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