
Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 43.7% | 43.7% | 0.1% | 0% | 12.5% | 0% | 5 |
| 60.7% | 53.1% | 34.3% | 0.1% | 0% | 12.5% | 0% | 6 |
| 72.2% | 60.9% | 23.4% | 0.1% | 0% | 15.6% | 0% | 7 |
| 79.4% | 63.2% | 16.4% | 0.1% | 0% | 20.3% | 0% | 8 |
| 85.6% | 67.5% | 11.3% | 0.1% | 0% | 21.1% | 0% | 9 |
| 89.6% | 68.9% | 8% | 0.1% | 0% | 23% | 0% | 10 |
| 92.7% | 71.1% | 5.6% | 0.1% | 0% | 23.2% | 0% | 11 |
| 94.8% | 71.9% | 4% | 0.1% | 0% | 24.1% | 0% | 12 |
Compiled 15 to 13 computations (13.3% saved)
| 986.0ms | 8 256× | 0 | valid |
| 9.0ms | 110× | 0 | invalid |
const: 342.0ms (44.6% of total)ival-mult: 159.0ms (20.7% of total)ival-atan: 87.0ms (11.3% of total)ival-sqrt: 69.0ms (9% of total)ival-div: 55.0ms (7.2% of total)ival-sub: 40.0ms (5.2% of total)ival-true: 6.0ms (0.8% of total)exact: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| 1× | egg-herbie |
| 224× | accelerator-lowering-fma.f32 |
| 224× | accelerator-lowering-fma.f64 |
| 168× | *-lowering-*.f32 |
| 168× | *-lowering-*.f64 |
| 138× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 61 |
| 1 | 63 | 59 |
| 2 | 118 | 59 |
| 3 | 223 | 59 |
| 4 | 391 | 59 |
| 5 | 639 | 59 |
| 6 | 866 | 59 |
| 7 | 1009 | 59 |
| 8 | 1154 | 59 |
| 9 | 1188 | 59 |
| 10 | 1204 | 59 |
| 0 | 12 | 11 |
| 1 | 19 | 11 |
| 2 | 29 | 11 |
| 3 | 38 | 11 |
| 4 | 54 | 11 |
| 5 | 75 | 11 |
| 6 | 119 | 11 |
| 7 | 163 | 11 |
| 8 | 219 | 11 |
| 9 | 276 | 11 |
| 10 | 365 | 11 |
| 11 | 405 | 11 |
| 12 | 494 | 11 |
| 13 | 516 | 11 |
| 14 | 524 | 11 |
| 0 | 524 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) |
| Outputs |
|---|
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 83 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
| 0 | 0 | - | 0 | - | (*.f64 v v) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
| 0 | 0 | - | 0 | - | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
| 0 | 0 | - | 0 | - | H |
| 0 | 0 | - | 0 | - | #s(literal 49/5 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) | oflow-rescue | 83 | 0 |
| ↳ | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | overflow | 83 | |
| ↳ | (*.f64 v v) | overflow | 83 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 83 | 0 |
| - | 0 | 173 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 83 | 0 | 0 |
| - | 0 | 0 | 173 |
| number | freq |
|---|---|
| 0 | 173 |
| 1 | 83 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 56.0ms | 502× | 0 | valid |
| 5.0ms | 10× | 5 | exit |
Compiled 152 to 48 computations (68.4% saved)
ival-mult: 10.0ms (29% of total)const: 8.0ms (23.2% of total)ival-atan: 5.0ms (14.5% of total)ival-div: 4.0ms (11.6% of total)ival-sqrt: 4.0ms (11.6% of total)ival-sub: 2.0ms (5.8% of total)adjust: 1.0ms (2.9% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.5% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
Compiled 15 to 11 computations (26.7% 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)) |
| 224× | accelerator-lowering-fma.f32 |
| 224× | accelerator-lowering-fma.f64 |
| 168× | *-lowering-*.f32 |
| 168× | *-lowering-*.f64 |
| 72× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 47 |
| 1 | 19 | 47 |
| 2 | 29 | 47 |
| 3 | 38 | 47 |
| 4 | 54 | 47 |
| 5 | 75 | 47 |
| 6 | 119 | 47 |
| 7 | 163 | 47 |
| 8 | 219 | 47 |
| 9 | 276 | 47 |
| 10 | 365 | 47 |
| 11 | 405 | 47 |
| 12 | 494 | 47 |
| 13 | 516 | 47 |
| 14 | 524 | 47 |
| 0 | 524 | 43 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) |
(/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) |
v |
(sqrt (- (* v v) (* (* 2 49/5) H))) |
(- (* v v) (* (* 2 49/5) H)) |
(* v v) |
(* (* 2 49/5) H) |
(* 2 49/5) |
2 |
49/5 |
H |
| Outputs |
|---|
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
v |
(sqrt (- (* v v) (* (* 2 49/5) H))) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(- (* v v) (* (* 2 49/5) H)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(* v v) |
(*.f64 v v) |
(* (* 2 49/5) H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* 2 49/5) |
#s(literal 98/5 binary64) |
2 |
#s(literal 2 binary64) |
49/5 |
#s(literal 49/5 binary64) |
H |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
| ✓ | accuracy | 99.9% | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| ✓ | accuracy | 69.7% | (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
| 26.0ms | 251× | 0 | valid |
| 3.0ms | 5× | 5 | exit |
Compiled 61 to 13 computations (78.7% saved)
const: 6.0ms (31.2% of total)ival-mult: 5.0ms (26% of total)ival-div: 2.0ms (10.4% of total)ival-atan: 2.0ms (10.4% of total)ival-sqrt: 2.0ms (10.4% of total)ival-sub: 1.0ms (5.2% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 2 49/5)> |
#<alt (- (* v v) (* (* 2 49/5) H))> |
#<alt (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))))> |
#<alt (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))> |
#<alt (sqrt (- (* v v) (* (* 2 49/5) H)))> |
#<alt (* (* 2 49/5) H)> |
| Outputs |
|---|
#<alt (* -98/5 H)> |
#<alt (- (pow v 2) (* 98/5 H))> |
#<alt (- (pow v 2) (* 98/5 H))> |
#<alt (- (pow v 2) (* 98/5 H))> |
#<alt (pow v 2)> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (pow v 2)> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (pow v 2)> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (* -98/5 H)> |
#<alt (* H (- (/ (pow v 2) H) 98/5))> |
#<alt (* H (- (/ (pow v 2) H) 98/5))> |
#<alt (* H (- (/ (pow v 2) H) 98/5))> |
#<alt (* -98/5 H)> |
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))> |
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))> |
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))> |
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))> |
#<alt (* 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))))))))> |
#<alt (* 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))))))))))> |
#<alt 1> |
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))> |
#<alt (+ 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))))))> |
#<alt -1> |
#<alt (- (* -49/5 (/ H (pow v 2))) 1)> |
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)> |
#<alt (- (+ (* -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)> |
#<alt 1> |
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))> |
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))> |
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))> |
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))> |
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))> |
#<alt (+ (* -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)))))> |
#<alt (+ (* -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))))))> |
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))> |
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))> |
#<alt (+ (* -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))))))> |
#<alt (+ (* -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))))))> |
#<alt (* (sqrt H) (sqrt -98/5))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))> |
#<alt (+ (* (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)))))))> |
#<alt (+ (* (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)))))))))> |
#<alt v> |
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))> |
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))> |
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))> |
#<alt (* -1 v)> |
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))> |
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))> |
#<alt (* -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))))))))> |
#<alt v> |
#<alt (+ v (* -49/5 (/ H v)))> |
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))> |
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))> |
#<alt (* (sqrt H) (sqrt -98/5))> |
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))> |
#<alt (* 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)))))> |
#<alt (* 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))))))> |
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))> |
#<alt (* -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))))))> |
#<alt (* -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)))))))> |
#<alt (* -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))))))))> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | v | @ | 0 | (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) |
| 1.0ms | H | @ | -inf | (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) |
| 1.0ms | v | @ | inf | (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) |
| 1.0ms | H | @ | inf | (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) |
| 1.0ms | H | @ | 0 | (sqrt (- (* v v) (* (* 2 49/5) H))) |
| 1× | batch-egg-rewrite |
| 7 948× | accelerator-lowering-fma.f32 |
| 7 948× | accelerator-lowering-fma.f64 |
| 4 050× | *-lowering-*.f32 |
| 4 050× | *-lowering-*.f64 |
| 3 070× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 40 |
| 1 | 43 | 40 |
| 2 | 268 | 40 |
| 3 | 2262 | 40 |
| 0 | 8980 | 36 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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) |
| Outputs |
|---|
#s(literal 98/5 binary64) |
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) |
(+.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) |
(+.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v))))) (neg.f64 (/.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(+.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (neg.f64 (/.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))) |
(exp.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 v v))) |
(-.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(-.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (/.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) |
(-.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 #s(literal 98/5 binary64) H)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (neg.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))) (neg.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) (fma.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (/.f64 (*.f64 #s(literal 833747762130149888/1953125 binary64) (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) (*.f64 H (*.f64 H H))))) (fma.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (/.f64 (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal 885842380864/15625 binary64))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(-.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (fma.f64 H (*.f64 H #s(literal 9604/25 binary64)) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) H) #s(literal -98/5 binary64))))) (/.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (fma.f64 H (*.f64 H #s(literal 9604/25 binary64)) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) H) #s(literal -98/5 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) (fma.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))))) (fma.f64 H (*.f64 H #s(literal 9604/25 binary64)) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) H) #s(literal -98/5 binary64))))) (/.f64 (/.f64 (*.f64 #s(literal 833747762130149888/1953125 binary64) (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) (*.f64 H (*.f64 H H))))) (fma.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))))) (fma.f64 H (*.f64 H #s(literal 9604/25 binary64)) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) H) #s(literal -98/5 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))) (fma.f64 H (*.f64 H #s(literal 9604/25 binary64)) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) H) #s(literal -98/5 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal 885842380864/15625 binary64))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))) (fma.f64 H (*.f64 H #s(literal 9604/25 binary64)) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) H) #s(literal -98/5 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (fma.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (/.f64 (/.f64 (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal 885842380864/15625 binary64))) (fma.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) |
(-.f64 (/.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (/.f64 (/.f64 (*.f64 #s(literal 92236816/625 binary64) (*.f64 (*.f64 H H) (*.f64 H H))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) |
(-.f64 (/.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) (*.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))))))) (/.f64 (*.f64 #s(literal 833747762130149888/1953125 binary64) (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) (*.f64 H (*.f64 H H))))) (*.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (*.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))))) (/.f64 (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal 885842380864/15625 binary64))) (*.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (*.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)) (fma.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64)))))))) (/.f64 (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal 885842380864/15625 binary64))) (*.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)) (fma.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))))))) |
(-.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (*.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64)))))) (/.f64 (*.f64 #s(literal 92236816/625 binary64) (*.f64 (*.f64 H H) (*.f64 H H))) (*.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))))) |
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(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))))))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))) |
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v))))) (pow.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v))))) (pow.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))) |
(*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (pow.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (pow.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))) |
(*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))) |
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))))) (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))))))) |
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 #s(literal 98/5 binary64) H) (-.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 v v)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))) (fma.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (*.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)) (*.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) (-.f64 (*.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) (*.f64 v (*.f64 v (*.f64 v v)))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))))) (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 #s(literal 98/5 binary64) H) (-.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 v v)))))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))) (fma.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (*.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)) (*.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))))) (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) (-.f64 (*.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) (*.f64 v (*.f64 v (*.f64 v v)))))))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 v (*.f64 (*.f64 v v) (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))))) (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))) |
(exp.f64 (log.f64 (*.f64 #s(literal 98/5 binary64) H))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 98/5 binary64) H)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 1 binary64)) |
(*.f64 #s(literal 98/5 binary64) H) |
(*.f64 #s(literal 98/5 binary64) (pow.f64 H #s(literal 1 binary64))) |
(*.f64 H #s(literal 98/5 binary64)) |
(*.f64 (pow.f64 H #s(literal 1 binary64)) #s(literal 98/5 binary64)) |
(*.f64 (exp.f64 (log.f64 H)) (exp.f64 (log.f64 #s(literal 98/5 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 98/5 binary64))) (exp.f64 (log.f64 H))) |
| 1× | egg-herbie |
| 10 028× | accelerator-lowering-fma.f32 |
| 10 028× | accelerator-lowering-fma.f64 |
| 6 464× | *-lowering-*.f32 |
| 6 464× | *-lowering-*.f64 |
| 3 108× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 1843 |
| 1 | 933 | 1797 |
| 2 | 3166 | 1774 |
| 3 | 7239 | 1741 |
| 0 | 8256 | 1626 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
(- (pow v 2) (* 98/5 H)) |
(- (pow v 2) (* 98/5 H)) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(pow v 2) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(* -98/5 H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* -98/5 H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
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) |
(- (+ (* -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)))) |
(+ 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)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -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)))))) |
(* (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 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))))))))) |
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 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)))))))) |
v |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(* (sqrt H) (sqrt -98/5)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -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)))))))) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
| 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)) |
(- (pow v 2) (* 98/5 H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(- (pow v 2) (* 98/5 H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(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)) |
(* (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)) |
(* (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)) |
(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)) |
(* (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)) |
(* (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)) |
(pow v 2) |
(*.f64 v v) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v 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)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) 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 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 H) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H))) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) H) #s(literal -5/196 binary64) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 H H)) (/.f64 #s(literal -7203/25 binary64) (*.f64 (*.f64 v v) (*.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 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (fma.f64 #s(literal -941192/125 binary64) (*.f64 H H) (*.f64 #s(literal -49/5 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.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 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (fma.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) (*.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 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (fma.f64 #s(literal -941192/125 binary64) (*.f64 H H) (*.f64 #s(literal -49/5 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))))) (pow.f64 v #s(literal 6 binary64)))) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #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 H (fma.f64 H (fma.f64 H (/.f64 #s(literal 117649/50 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #s(literal 1 binary64)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(fma.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -125/1882384 binary64) (sqrt.f64 #s(literal -5/98 binary64))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 v (fma.f64 (*.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -125/3764768 binary64) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -125/1882384 binary64) (sqrt.f64 #s(literal -5/98 binary64)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v))) |
(+ (* -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 v (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))) #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 -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (*.f64 v (*.f64 v v)) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v)))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (*.f64 v (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -125/3764768 binary64) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 H) (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (*.f64 H (*.f64 H H))))) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64)))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(fma.f64 v (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) 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))))))) |
(fma.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/250 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (*.f64 H H) (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))) |
(* -1 v) |
(neg.f64 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)) v) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(*.f64 v (fma.f64 #s(literal 2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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 v (fma.f64 #s(literal 117649/250 binary64) (/.f64 (*.f64 H (*.f64 H H)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))) |
v |
(+ v (* -49/5 (/ H v))) |
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(fma.f64 H (fma.f64 H (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(fma.f64 H (fma.f64 H (fma.f64 H (/.f64 #s(literal -117649/250 binary64) (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64)))))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (neg.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))) (neg.f64 H)) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (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))) #s(literal -5/784 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))) (neg.f64 H)) |
(* -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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (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))) #s(literal -5/784 binary64))))) (neg.f64 H)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
Compiled 18 779 to 2 001 computations (89.3% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 424 | 17 | 441 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 425 | 17 | 442 |
| Status | Accuracy | Program |
|---|---|---|
| 33.9% | (atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) | |
| 38.2% | (atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) | |
| 66.4% | (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) | |
| 68.3% | (atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))) | |
| 38.5% | (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) | |
| 68.4% | (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)))))))) | |
| ▶ | 68.5% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
| ▶ | 37.7% | (atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))) |
| 37.0% | (atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))) | |
| 68.4% | (atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) | |
| 67.4% | (atan.f64 (/.f64 v (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)) (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))))) | |
| ▶ | 37.0% | (atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
| ▶ | 67.8% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))) |
| 68.4% | (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 v))) | |
| 68.4% | (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) | |
| 33.8% | (atan.f64 #s(literal 1 binary64)) | |
| ▶ | 38.2% | (atan.f64 #s(literal -1 binary64)) |
Compiled 528 to 338 computations (36% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) |
| ✓ | cost-diff | 0 | (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -98/5 binary64) H) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) |
| ✓ | cost-diff | 0 | (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
| ✓ | cost-diff | 0 | (atan.f64 #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
| 86× | *-lowering-*.f32 |
| 86× | *-lowering-*.f64 |
| 38× | accelerator-lowering-fma.f32 |
| 38× | accelerator-lowering-fma.f64 |
| 28× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 244 |
| 1 | 49 | 234 |
| 2 | 58 | 234 |
| 3 | 61 | 234 |
| 4 | 84 | 234 |
| 5 | 92 | 234 |
| 6 | 98 | 234 |
| 0 | 98 | 215 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(atan (/ v (sqrt (+ (* v v) (* H -98/5))))) |
(/ v (sqrt (+ (* v v) (* H -98/5)))) |
v |
(sqrt (+ (* v v) (* H -98/5))) |
(+ (* v v) (* H -98/5)) |
(* H -98/5) |
H |
-98/5 |
(atan -1) |
-1 |
(atan (/ v (sqrt (* -98/5 H)))) |
(/ v (sqrt (* -98/5 H))) |
v |
(sqrt (* -98/5 H)) |
(* -98/5 H) |
-98/5 |
H |
(atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))) |
(/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)) |
1 |
(/ (sqrt (+ (* v v) (* H -98/5))) v) |
(sqrt (+ (* v v) (* H -98/5))) |
(+ (* v v) (* H -98/5)) |
v |
(* H -98/5) |
H |
-98/5 |
(atan (/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H)))))) |
(/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H))))) |
v |
(sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H)))) |
(/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H))) |
(+ (* v (* v (* v v))) (* (* H H) -9604/25)) |
(* v (* v v)) |
(* v v) |
(* (* H H) -9604/25) |
(* H H) |
H |
-9604/25 |
(+ (* v v) (* 98/5 H)) |
(* 98/5 H) |
98/5 |
| Outputs |
|---|
(atan (/ v (sqrt (+ (* v v) (* H -98/5))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/ v (sqrt (+ (* v v) (* H -98/5)))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
v |
(sqrt (+ (* v v) (* H -98/5))) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(+ (* v v) (* H -98/5)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(* H -98/5) |
(*.f64 H #s(literal -98/5 binary64)) |
H |
-98/5 |
#s(literal -98/5 binary64) |
(atan -1) |
(atan.f64 #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(atan (/ v (sqrt (* -98/5 H)))) |
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) |
(/ v (sqrt (* -98/5 H))) |
(/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) |
v |
(sqrt (* -98/5 H)) |
(sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) |
(* -98/5 H) |
(*.f64 H #s(literal -98/5 binary64)) |
-98/5 |
#s(literal -98/5 binary64) |
H |
(atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
1 |
#s(literal 1 binary64) |
(/ (sqrt (+ (* v v) (* H -98/5))) v) |
(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) |
(sqrt (+ (* v v) (* H -98/5))) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(+ (* v v) (* H -98/5)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
v |
(* H -98/5) |
(*.f64 H #s(literal -98/5 binary64)) |
H |
-98/5 |
#s(literal -98/5 binary64) |
(atan (/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))) |
(/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H))))) |
(/.f64 v (sqrt.f64 (/.f64 (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) |
v |
(sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H)))) |
(sqrt.f64 (/.f64 (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) |
(/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H))) |
(/.f64 (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) |
(+ (* v (* v (* v v))) (* (* H H) -9604/25)) |
(fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) |
(* v (* v v)) |
(*.f64 v (*.f64 v v)) |
(* v v) |
(*.f64 v v) |
(* (* H H) -9604/25) |
(*.f64 H (*.f64 H #s(literal -9604/25 binary64))) |
(* H H) |
(*.f64 H H) |
H |
-9604/25 |
#s(literal -9604/25 binary64) |
(+ (* v v) (* 98/5 H)) |
(fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
98/5 |
#s(literal 98/5 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 98/5 binary64) H) |
| ✓ | accuracy | 96.5% | (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) |
| ✓ | accuracy | 83.2% | (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) |
| ✓ | accuracy | 63.3% | (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))) |
| ✓ | accuracy | 99.9% | (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) |
| ✓ | accuracy | 99.5% | (*.f64 H #s(literal -98/5 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) |
| ✓ | accuracy | 83.2% | (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
| ✓ | accuracy | 99.9% | (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) |
| ✓ | accuracy | 99.8% | (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal -98/5 binary64) H) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
| ✓ | accuracy | 99.9% | (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 H #s(literal -98/5 binary64)) |
| ✓ | accuracy | 83.2% | (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
| 61.0ms | 161× | 0 | valid |
| 25.0ms | 90× | 0 | invalid |
| 9.0ms | 5× | 5 | exit |
Compiled 243 to 34 computations (86% saved)
const: 21.0ms (31.8% of total)ival-mult: 13.0ms (19.7% of total)ival-div: 10.0ms (15.2% of total)ival-atan: 10.0ms (15.2% of total)ival-sqrt: 6.0ms (9.1% of total)ival-add: 4.0ms (6.1% of total)adjust: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (atan (/ v (sqrt (+ (* v v) (* H -98/5)))))> |
#<alt (/ v (sqrt (+ (* v v) (* H -98/5))))> |
#<alt (sqrt (+ (* v v) (* H -98/5)))> |
#<alt (+ (* v v) (* H -98/5))> |
#<alt (atan -1)> |
#<alt (atan (/ v (sqrt (* -98/5 H))))> |
#<alt (/ v (sqrt (* -98/5 H)))> |
#<alt (sqrt (* -98/5 H))> |
#<alt (* -98/5 H)> |
#<alt (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))> |
#<alt (atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)))> |
#<alt (/ (sqrt (+ (* v v) (* H -98/5))) v)> |
#<alt (atan (/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H))))))> |
#<alt (/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H)))))> |
#<alt (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H))))> |
#<alt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H)))> |
#<alt (* H -98/5)> |
#<alt (+ (* v (* v (* v v))) (* (* H H) -9604/25))> |
#<alt (* 98/5 H)> |
| Outputs |
|---|
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))> |
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))> |
#<alt (* 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))))))))> |
#<alt (* 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))))))))))> |
#<alt 1> |
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))> |
#<alt (+ 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))))))> |
#<alt -1> |
#<alt (- (* -49/5 (/ H (pow v 2))) 1)> |
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)> |
#<alt (- (+ (* -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)> |
#<alt 1> |
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))> |
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))> |
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))> |
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))> |
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))> |
#<alt (+ (* -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)))))> |
#<alt (+ (* -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))))))> |
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))> |
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))> |
#<alt (+ (* -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))))))> |
#<alt (+ (* -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))))))> |
#<alt (* (sqrt H) (sqrt -98/5))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))> |
#<alt (+ (* (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)))))))> |
#<alt (+ (* (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)))))))))> |
#<alt v> |
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))> |
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))> |
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))> |
#<alt (* -1 v)> |
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))> |
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))> |
#<alt (* -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))))))))> |
#<alt v> |
#<alt (+ v (* -49/5 (/ H v)))> |
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))> |
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))> |
#<alt (* (sqrt H) (sqrt -98/5))> |
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))> |
#<alt (* 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)))))> |
#<alt (* 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))))))> |
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))> |
#<alt (* -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))))))> |
#<alt (* -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)))))))> |
#<alt (* -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))))))))> |
#<alt (* -98/5 H)> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (pow v 2)> |
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#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))> |
#<alt (+ (* -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))))))> |
#<alt (+ (* -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))))))> |
#<alt (* (sqrt H) (sqrt -98/5))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))> |
#<alt (+ (* (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)))))))> |
#<alt (+ (* (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)))))))))> |
#<alt v> |
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))> |
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))> |
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))> |
#<alt (* -1 v)> |
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))> |
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))> |
#<alt (* -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))))))))> |
#<alt v> |
#<alt (+ v (* -49/5 (/ H v)))> |
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))> |
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))> |
#<alt (* (sqrt H) (sqrt -98/5))> |
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))> |
#<alt (* 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)))))> |
#<alt (* 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))))))> |
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))> |
#<alt (* -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))))))> |
#<alt (* -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)))))))> |
#<alt (* -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))))))))> |
#<alt (* -98/5 H)> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (pow v 2)> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (pow v 2)> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (pow v 2)> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (* -98/5 H)> |
#<alt (* H (- (/ (pow v 2) H) 98/5))> |
#<alt (* H (- (/ (pow v 2) H) 98/5))> |
#<alt (* H (- (/ (pow v 2) H) 98/5))> |
#<alt (* -98/5 H)> |
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))> |
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))> |
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -9604/25 (pow H 2))> |
#<alt (+ (* -9604/25 (pow H 2)) (pow v 4))> |
#<alt (+ (* -9604/25 (pow H 2)) (pow v 4))> |
#<alt (+ (* -9604/25 (pow H 2)) (pow v 4))> |
#<alt (pow v 4)> |
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))> |
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))> |
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))> |
#<alt (pow v 4)> |
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))> |
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))> |
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))> |
#<alt (pow v 4)> |
#<alt (+ (* -9604/25 (pow H 2)) (pow v 4))> |
#<alt (+ (* -9604/25 (pow H 2)) (pow v 4))> |
#<alt (+ (* -9604/25 (pow H 2)) (pow v 4))> |
#<alt (* -9604/25 (pow H 2))> |
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))> |
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))> |
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))> |
#<alt (* -9604/25 (pow H 2))> |
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))> |
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))> |
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
#<alt (* 98/5 H)> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | inf | (/ (sqrt (+ (* v v) (* H -98/5))) v) |
| 2.0ms | H | @ | -inf | (* H -98/5) |
| 1.0ms | H | @ | -inf | (/ (sqrt (+ (* v v) (* H -98/5))) v) |
| 1.0ms | v | @ | 0 | (/ v (sqrt (* -98/5 H))) |
| 1.0ms | H | @ | 0 | (/ v (sqrt (* -98/5 H))) |
| 1× | batch-egg-rewrite |
| 8 342× | accelerator-lowering-fma.f32 |
| 8 342× | accelerator-lowering-fma.f64 |
| 4 982× | *-lowering-*.f32 |
| 4 982× | *-lowering-*.f64 |
| 2 514× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 142 |
| 1 | 134 | 140 |
| 2 | 908 | 140 |
| 0 | 9594 | 128 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (/ v (sqrt (+ (* v v) (* H -98/5))))) |
(/ v (sqrt (+ (* v v) (* H -98/5)))) |
(sqrt (+ (* v v) (* H -98/5))) |
(+ (* v v) (* H -98/5)) |
(atan -1) |
(atan (/ v (sqrt (* -98/5 H)))) |
(/ v (sqrt (* -98/5 H))) |
(sqrt (* -98/5 H)) |
(* -98/5 H) |
(/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)) |
(atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))) |
(/ (sqrt (+ (* v v) (* H -98/5))) v) |
(atan (/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H)))))) |
(/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H))))) |
(sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H)))) |
(/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* 98/5 H))) |
(* H -98/5) |
(+ (* v (* v (* v v))) (* (* H H) -9604/25)) |
(* 98/5 H) |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(neg.f64 (atan.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
(neg.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #s(literal 1 binary64))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(/.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) |
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)) |
(/.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal -1 binary64) v)) |
(/.f64 (*.f64 v (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 (*.f64 v (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))))) (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (sqrt.f64 (fma.f64 H (fma.f64 H #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) #s(literal -98/5 binary64))) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(/.f64 (*.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (*.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)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 (*.f64 v #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))))) (sqrt.f64 (fma.f64 H (fma.f64 H #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) #s(literal -98/5 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(/.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(pow.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))) #s(literal -1 binary64)) |
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(*.f64 v (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(*.f64 (neg.f64 v) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 v)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (pow.f64 (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (*.f64 (neg.f64 v) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (/.f64 v (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 v (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)) v) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (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)))) |
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H (fma.f64 H #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) #s(literal -98/5 binary64))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))))) |
(/.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))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))) (sqrt.f64 (fma.f64 H (fma.f64 H #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) #s(literal -98/5 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))))) |
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(*.f64 (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H (fma.f64 H #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) #s(literal -98/5 binary64))) (*.f64 v (*.f64 v (*.f64 v v))))) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (*.f64 H (*.f64 H (*.f64 H H))) #s(literal -92236816/625 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64)))))) |
(*.f64 (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (*.f64 H (*.f64 H (*.f64 H H))) #s(literal -92236816/625 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (*.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 v (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v))))))) (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -885842380864/15625 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (fma.f64 H (*.f64 H #s(literal 9604/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))))))) |
(*.f64 (neg.f64 (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (*.f64 H (*.f64 H (*.f64 H H))) #s(literal -92236816/625 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 v (neg.f64 v)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 H H) (*.f64 (*.f64 H H) #s(literal 92236816/625 binary64))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 H (*.f64 H #s(literal -9604/25 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(*.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 H (fma.f64 H #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) #s(literal -98/5 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(*.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 H #s(literal -98/5 binary64))) |
(neg.f64 (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 H #s(literal 98/5 binary64)) |
(*.f64 #s(literal -98/5 binary64) (neg.f64 H)) |
(*.f64 #s(literal -1 binary64) (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 #s(literal 98/5 binary64) H) |
(*.f64 (neg.f64 H) #s(literal -98/5 binary64)) |
| 1× | egg-herbie |
| 14 164× | accelerator-lowering-fma.f32 |
| 14 164× | accelerator-lowering-fma.f64 |
| 6 894× | *-lowering-*.f32 |
| 6 894× | *-lowering-*.f64 |
| 4 248× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 417 | 6369 |
| 1 | 1208 | 6231 |
| 2 | 4030 | 6175 |
| 0 | 8243 | 5805 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
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) |
(- (+ (* -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)))) |
(+ 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)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -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)))))) |
(* (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 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))))))))) |
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 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)))))))) |
v |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(* (sqrt H) (sqrt -98/5)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -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)))))))) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(pow v 2) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(* -98/5 H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* -98/5 H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -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)))))))))) |
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) |
(- (+ (* -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)))) |
(+ 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)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -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)))))) |
(* (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)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (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 |
(+ 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)))))) |
-1 |
(- (* 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 |
(+ 1 (* -49/5 (/ H (pow v 2)))) |
(+ 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)))))) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* 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)))))) |
(* -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))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 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)))))))))) |
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) |
(- (+ (* -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)))) |
(+ 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)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -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)))))) |
(* (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 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))))))))) |
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 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)))))))) |
v |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(* (sqrt H) (sqrt -98/5)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -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)))))))) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(pow v 2) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(* -98/5 H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* -98/5 H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -9604/25 (pow H 2)) |
(+ (* -9604/25 (pow H 2)) (pow v 4)) |
(+ (* -9604/25 (pow H 2)) (pow v 4)) |
(+ (* -9604/25 (pow H 2)) (pow v 4)) |
(pow v 4) |
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) |
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) |
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) |
(pow v 4) |
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) |
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) |
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) |
(pow v 4) |
(+ (* -9604/25 (pow H 2)) (pow v 4)) |
(+ (* -9604/25 (pow H 2)) (pow v 4)) |
(+ (* -9604/25 (pow H 2)) (pow v 4)) |
(* -9604/25 (pow H 2)) |
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) |
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) |
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) |
(* -9604/25 (pow H 2)) |
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) |
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) |
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
(* 98/5 H) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H))) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) H) #s(literal -5/196 binary64) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) (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) (*.f64 H (*.f64 H H)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (fma.f64 (*.f64 H H) #s(literal -941192/125 binary64) (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1/2 binary64) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.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 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (fma.f64 (*.f64 H H) #s(literal -941192/125 binary64) (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #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 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #s(literal 1 binary64)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(fma.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v (*.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) |
(+ (* -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 v (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v (*.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 H #s(literal -5/98 binary64))) (*.f64 #s(literal 625/368947264 binary64) v) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 7 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) (fma.f64 v (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v (*.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 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 v (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))))) |
(+ (* -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 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (*.f64 v (*.f64 v v)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 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)))))) |
(-.f64 (fma.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) #s(literal 1/2 binary64)) v) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 H (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64)) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal 125/1882384 binary64)) (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 H (*.f64 H H)))) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(fma.f64 (*.f64 v v) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 v v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(fma.f64 v (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) v) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(fma.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) 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))))))) |
(fma.f64 v (fma.f64 #s(literal -2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (/.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -117649/250 binary64)) (pow.f64 v #s(literal 6 binary64))))) v) |
(* -1 v) |
(neg.f64 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(fma.f64 #s(literal 49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) v) (neg.f64 v)) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(*.f64 (fma.f64 #s(literal -2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) (neg.f64 v)) |
(* -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)))))))) |
(neg.f64 (fma.f64 v (fma.f64 #s(literal -2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (/.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -117649/250 binary64)) (pow.f64 v #s(literal 6 binary64))))) v)) |
v |
(+ v (* -49/5 (/ H v))) |
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(fma.f64 H (fma.f64 H (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(fma.f64 H (fma.f64 H (fma.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))))) |
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(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
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(* -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)))))))) |
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(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(pow v 2) |
(*.f64 v v) |
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(*.f64 v (*.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(*.f64 v (*.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
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(*.f64 v (*.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(pow v 2) |
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(pow v 2) |
(*.f64 v v) |
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(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
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(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(* -98/5 H) |
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(* H (- (/ (pow v 2) H) 98/5)) |
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(* H (- (/ (pow v 2) H) 98/5)) |
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(* H (- (/ (pow v 2) H) 98/5)) |
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(* -98/5 H) |
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(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
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(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
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(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
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(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
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(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
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(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
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(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) |
(* (sqrt H) (sqrt -98/5)) |
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(* (sqrt H) (sqrt -98/5)) |
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(* (sqrt H) (sqrt -98/5)) |
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(* (sqrt H) (sqrt -98/5)) |
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(* (sqrt H) (sqrt -98/5)) |
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(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
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(* -98/5 H) |
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(* -98/5 H) |
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(* -98/5 H) |
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(* -98/5 H) |
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(* -98/5 H) |
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(* -98/5 H) |
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(* -98/5 H) |
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(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) |
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1 |
#s(literal 1 binary64) |
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#s(literal -1 binary64) |
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(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) |
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1) |
(fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 2401/50 binary64) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) |
(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1) |
(fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 2401/50 binary64) (fma.f64 (/.f64 (*.f64 H (*.f64 H H)) (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/250 binary64) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -49/5 (/ H (pow v 2)))) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) |
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 H (fma.f64 H (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) (*.f64 v v))) #s(literal 1 binary64)) |
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 H (fma.f64 H (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal -49/5 binary64) (*.f64 v v))) #s(literal 1 binary64)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(*.f64 (sqrt.f64 H) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))) |
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))))) |
(* 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))))) |
(*.f64 H (fma.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))))))) |
(* 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)))))) |
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (fma.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (*.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))))))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(/.f64 (*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (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))))) |
(neg.f64 (*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))))))) |
(* -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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (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))) #s(literal -5/784 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) v))))) (neg.f64 H)) |
(* -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))))))) |
(neg.f64 (*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (*.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (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))) #s(literal -5/784 binary64))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2))))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H))) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) H) #s(literal -5/196 binary64) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) (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) (*.f64 H (*.f64 H H)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (fma.f64 (*.f64 H H) #s(literal -941192/125 binary64) (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1/2 binary64) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.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 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (fma.f64 (*.f64 H H) #s(literal -941192/125 binary64) (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #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)))))) |
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) |
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(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
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(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) |
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v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(fma.f64 v (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) v) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
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(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
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(* -1 v) |
(neg.f64 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(fma.f64 #s(literal 49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) v) (neg.f64 v)) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
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(* -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)))))))) |
(neg.f64 (fma.f64 v (fma.f64 #s(literal -2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (/.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -117649/250 binary64)) (pow.f64 v #s(literal 6 binary64))))) v)) |
v |
(+ v (* -49/5 (/ H v))) |
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(fma.f64 H (fma.f64 H (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(fma.f64 H (fma.f64 H (fma.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
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(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (neg.f64 (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)))))) |
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(* -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))))))) |
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(* -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)))))))) |
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(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(pow v 2) |
(*.f64 v v) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(*.f64 v (*.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(*.f64 v (*.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(*.f64 v (*.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(pow v 2) |
(*.f64 v v) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(*.f64 v (*.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(*.f64 v (*.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(*.f64 v (*.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(pow v 2) |
(*.f64 v v) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(* -9604/25 (pow H 2)) |
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) |
(+ (* -9604/25 (pow H 2)) (pow v 4)) |
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) |
(+ (* -9604/25 (pow H 2)) (pow v 4)) |
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) |
(+ (* -9604/25 (pow H 2)) (pow v 4)) |
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) |
(pow v 4) |
(*.f64 (*.f64 v v) (*.f64 v v)) |
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) |
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) |
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) |
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) |
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) |
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) |
(pow v 4) |
(*.f64 (*.f64 v v) (*.f64 v v)) |
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) |
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) |
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) |
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) |
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) |
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) |
(pow v 4) |
(*.f64 (*.f64 v v) (*.f64 v v)) |
(+ (* -9604/25 (pow H 2)) (pow v 4)) |
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) |
(+ (* -9604/25 (pow H 2)) (pow v 4)) |
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) |
(+ (* -9604/25 (pow H 2)) (pow v 4)) |
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) |
(* -9604/25 (pow H 2)) |
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) |
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) |
(*.f64 (*.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)))) |
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) |
(*.f64 (*.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)))) |
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) |
(*.f64 (*.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)))) |
(* -9604/25 (pow H 2)) |
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) |
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) |
(*.f64 (*.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)))) |
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) |
(*.f64 (*.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)))) |
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) |
(*.f64 (*.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)))) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
(* 98/5 H) |
(*.f64 H #s(literal 98/5 binary64)) |
Compiled 64 985 to 4 596 computations (92.9% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 804 | 6 | 1 810 |
| Fresh | 7 | 5 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 813 | 14 | 1 827 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 33.9% | (atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
| 38.2% | (atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) | |
| 66.4% | (atan.f64 (/.f64 (*.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) | |
| 38.5% | (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) | |
| ✓ | 68.5% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
| 18.7% | (atan.f64 (/.f64 v (sqrt.f64 (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))) | |
| ✓ | 37.0% | (atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
| 36.3% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) | |
| ▶ | 63.8% | (atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
| ▶ | 36.9% | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) v)) |
| ▶ | 68.4% | (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
| 37.2% | (atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) | |
| ▶ | 33.8% | (atan.f64 #s(literal 1 binary64)) |
| ✓ | 38.2% | (atan.f64 #s(literal -1 binary64)) |
Compiled 333 to 217 computations (34.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
| ✓ | cost-diff | 0 | (atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) |
| ✓ | cost-diff | 0 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) v)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) v) |
| ✓ | cost-diff | 0 | (*.f64 v v) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) |
| ✓ | cost-diff | 0 | (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (atan.f64 #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) |
| ✓ | cost-diff | 0 | (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
| 110× | *-lowering-*.f32 |
| 110× | *-lowering-*.f64 |
| 48× | /-lowering-/.f32 |
| 48× | /-lowering-/.f64 |
| 30× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 193 |
| 1 | 42 | 189 |
| 2 | 60 | 189 |
| 3 | 110 | 189 |
| 4 | 128 | 189 |
| 5 | 141 | 189 |
| 6 | 142 | 189 |
| 0 | 142 | 175 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) |
(* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) |
(sqrt (/ 1 (+ (* v v) (* H -98/5)))) |
(/ 1 (+ (* v v) (* H -98/5))) |
1 |
(+ (* v v) (* H -98/5)) |
v |
(* H -98/5) |
H |
-98/5 |
(atan 1) |
1 |
(atan (+ (* H (/ 49/5 (* v v))) 1)) |
(+ (* H (/ 49/5 (* v v))) 1) |
H |
(/ 49/5 (* v v)) |
49/5 |
(* v v) |
v |
1 |
(atan (* (/ 1 (sqrt (* H -98/5))) v)) |
(* (/ 1 (sqrt (* H -98/5))) v) |
(/ 1 (sqrt (* H -98/5))) |
1 |
(sqrt (* H -98/5)) |
(* H -98/5) |
H |
-98/5 |
v |
(atan (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5))))) |
(* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5)))) |
(/ v (+ (* v v) (* H -98/5))) |
v |
(+ (* v v) (* H -98/5)) |
(* H -98/5) |
H |
-98/5 |
(sqrt (+ (* v v) (* H -98/5))) |
| Outputs |
|---|
(atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))) |
(* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) |
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) |
(sqrt (/ 1 (+ (* v v) (* H -98/5)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) |
(/ 1 (+ (* v v) (* H -98/5))) |
(/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) |
1 |
#s(literal 1 binary64) |
(+ (* v v) (* H -98/5)) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
v |
(* H -98/5) |
(*.f64 H #s(literal -98/5 binary64)) |
H |
-98/5 |
#s(literal -98/5 binary64) |
(atan 1) |
(atan.f64 #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(atan (+ (* H (/ 49/5 (* v v))) 1)) |
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
(+ (* H (/ 49/5 (* v v))) 1) |
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
H |
(/ 49/5 (* v v)) |
(/.f64 #s(literal 49/5 binary64) (*.f64 v v)) |
49/5 |
#s(literal 49/5 binary64) |
(* v v) |
(*.f64 v v) |
v |
1 |
#s(literal 1 binary64) |
(atan (* (/ 1 (sqrt (* H -98/5))) v)) |
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) |
(* (/ 1 (sqrt (* H -98/5))) v) |
(/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) |
(/ 1 (sqrt (* H -98/5))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) |
1 |
#s(literal 1 binary64) |
(sqrt (* H -98/5)) |
(sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) |
(* H -98/5) |
(*.f64 H #s(literal -98/5 binary64)) |
H |
-98/5 |
#s(literal -98/5 binary64) |
v |
(atan (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5))))) |
(atan.f64 (*.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) |
(* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5)))) |
(*.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) |
(/ v (+ (* v v) (* H -98/5))) |
(/.f64 v (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) |
v |
(+ (* v v) (* H -98/5)) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
(* H -98/5) |
(*.f64 H #s(literal -98/5 binary64)) |
H |
-98/5 |
#s(literal -98/5 binary64) |
(sqrt (+ (* v v) (* H -98/5))) |
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 H #s(literal -98/5 binary64)) |
| ✓ | accuracy | 96.3% | (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
| ✓ | accuracy | 83.2% | (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
| ✓ | accuracy | 83.2% | (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
| ✓ | accuracy | 99.9% | (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) v) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 H #s(literal -98/5 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 v v) |
| ✓ | accuracy | 100.0% | (atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) |
| ✓ | accuracy | 98.1% | (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) |
| ✓ | accuracy | 99.5% | (*.f64 H #s(literal -98/5 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
| ✓ | accuracy | 83.9% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
| 46.0ms | 161× | 0 | valid |
| 19.0ms | 90× | 0 | invalid |
| 7.0ms | 5× | 5 | exit |
Compiled 181 to 27 computations (85.1% saved)
const: 17.0ms (31.4% of total)ival-mult: 12.0ms (22.2% of total)ival-atan: 9.0ms (16.6% of total)ival-div: 6.0ms (11.1% of total)ival-sqrt: 5.0ms (9.2% of total)adjust: 2.0ms (3.7% of total)ival-add: 2.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v))> |
#<alt (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)> |
#<alt (sqrt (/ 1 (+ (* v v) (* H -98/5))))> |
#<alt (/ 1 (+ (* v v) (* H -98/5)))> |
#<alt (atan 1)> |
#<alt (atan (+ (* H (/ 49/5 (* v v))) 1))> |
#<alt (+ (* H (/ 49/5 (* v v))) 1)> |
#<alt (/ 49/5 (* v v))> |
#<alt (* v v)> |
#<alt (* (/ 1 (sqrt (* H -98/5))) v)> |
#<alt (atan (* (/ 1 (sqrt (* H -98/5))) v))> |
#<alt (/ 1 (sqrt (* H -98/5)))> |
#<alt (sqrt (* H -98/5))> |
#<alt (atan (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5)))))> |
#<alt (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5))))> |
#<alt (/ v (+ (* v v) (* H -98/5)))> |
#<alt (+ (* v v) (* H -98/5))> |
#<alt (* H -98/5)> |
#<alt (sqrt (+ (* v v) (* H -98/5)))> |
| Outputs |
|---|
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))> |
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))> |
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))> |
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#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))> |
#<alt (* 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))))))))> |
#<alt (* 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))))))))))> |
#<alt 1> |
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))> |
#<alt (+ 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))))))> |
#<alt -1> |
#<alt (- (* -49/5 (/ H (pow v 2))) 1)> |
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)> |
#<alt (- (+ (* -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)> |
#<alt 1> |
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))> |
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))> |
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))> |
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))> |
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))> |
#<alt (+ (* -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)))))> |
#<alt (+ (* -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))))))> |
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))> |
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))> |
#<alt (+ (* -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))))))> |
#<alt (+ (* -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))))))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* v (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))))> |
#<alt (* v (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))))> |
#<alt (* v (- (* (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))))> |
#<alt (/ 1 v)> |
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) v)> |
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) v)> |
#<alt (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) v)> |
#<alt (/ 1 v)> |
#<alt (* -1 (/ (- (* -98/5 (/ H (pow v 2))) 1) v))> |
#<alt (* -1 (/ (- (* -9604/25 (/ (pow H 2) (pow v 4))) (+ 1 (* 98/5 (/ H (pow v 2))))) v))> |
#<alt (* -1 (/ (- (* -941192/125 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4)))))) v))> |
#<alt (/ 1 v)> |
#<alt (+ (* 98/5 (/ H (pow v 3))) (/ 1 v))> |
#<alt (+ (* H (+ (* 9604/25 (/ H (pow v 5))) (* 98/5 (/ 1 (pow v 3))))) (/ 1 v))> |
#<alt (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 7))) (* 9604/25 (/ 1 (pow v 5))))) (* 98/5 (/ 1 (pow v 3))))) (/ 1 v))> |
#<alt (* -5/98 (/ v H))> |
#<alt (/ (+ (* -5/98 v) (* -25/9604 (/ (pow v 3) H))) H)> |
#<alt (/ (- (+ (* -5/98 v) (* -125/941192 (/ (pow v 5) (pow H 2)))) (* 25/9604 (/ (pow v 3) H))) H)> |
#<alt (/ (- (+ (* -5/98 v) (* -625/92236816 (/ (pow v 7) (pow H 3)))) (+ (* 125/941192 (/ (pow v 5) (pow H 2))) (* 25/9604 (/ (pow v 3) H)))) H)> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -1 (/ (+ (* 25/9604 (/ (pow v 3) H)) (* 5/98 v)) H))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -125/941192 (/ (pow v 5) H)) (* 25/9604 (pow v 3))) H)) (* 5/98 v)) H))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 7) H)) (* -125/941192 (pow v 5))) H)) (* 25/9604 (pow v 3))) H)) (* 5/98 v)) H))> |
#<alt (* -98/5 H)> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (pow v 2)> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (pow v 2)> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))> |
#<alt (pow v 2)> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (+ (* -98/5 H) (pow v 2))> |
#<alt (* -98/5 H)> |
#<alt (* H (- (/ (pow v 2) H) 98/5))> |
#<alt (* H (- (/ (pow v 2) H) 98/5))> |
#<alt (* H (- (/ (pow v 2) H) 98/5))> |
#<alt (* -98/5 H)> |
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))> |
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))> |
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* (sqrt H) (sqrt -98/5))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))> |
#<alt (+ (* (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)))))))> |
#<alt (+ (* (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)))))))))> |
#<alt v> |
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))> |
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))> |
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))> |
#<alt (* -1 v)> |
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))> |
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))> |
#<alt (* -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))))))))> |
#<alt v> |
#<alt (+ v (* -49/5 (/ H v)))> |
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))> |
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))> |
#<alt (* (sqrt H) (sqrt -98/5))> |
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))> |
#<alt (* 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)))))> |
#<alt (* 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))))))> |
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))> |
#<alt (* -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))))))> |
#<alt (* -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)))))))> |
#<alt (* -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))))))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | H | @ | -inf | (/ 1 (sqrt (* H -98/5))) |
| 1.0ms | H | @ | -inf | (sqrt (/ 1 (+ (* v v) (* H -98/5)))) |
| 0.0ms | H | @ | inf | (+ (* H (/ 49/5 (* v v))) 1) |
| 0.0ms | H | @ | 0 | (/ 1 (sqrt (* H -98/5))) |
| 0.0ms | H | @ | inf | (sqrt (/ 1 (+ (* v v) (* H -98/5)))) |
| 1× | batch-egg-rewrite |
| 4 976× | accelerator-lowering-fma.f32 |
| 4 976× | accelerator-lowering-fma.f64 |
| 4 458× | *-lowering-*.f32 |
| 4 458× | *-lowering-*.f64 |
| 3 086× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 152 |
| 1 | 105 | 138 |
| 2 | 646 | 138 |
| 3 | 7134 | 138 |
| 0 | 8890 | 127 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) |
(* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) |
(sqrt (/ 1 (+ (* v v) (* H -98/5)))) |
(/ 1 (+ (* v v) (* H -98/5))) |
(atan 1) |
(atan (+ (* H (/ 49/5 (* v v))) 1)) |
(+ (* H (/ 49/5 (* v v))) 1) |
(/ 49/5 (* v v)) |
(* v v) |
(* (/ 1 (sqrt (* H -98/5))) v) |
(atan (* (/ 1 (sqrt (* H -98/5))) v)) |
(/ 1 (sqrt (* H -98/5))) |
(sqrt (* H -98/5)) |
(atan (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5))))) |
(* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5)))) |
(/ v (+ (* v v) (* H -98/5))) |
(+ (* v v) (* H -98/5)) |
(* H -98/5) |
(sqrt (+ (* v v) (* H -98/5))) |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(neg.f64 (atan.f64 (*.f64 (/.f64 (neg.f64 v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
(neg.f64 (atan.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (/.f64 (neg.f64 v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
(neg.f64 (atan.f64 (*.f64 (*.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) |
(neg.f64 (atan.f64 (/.f64 (*.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v))))) |
(neg.f64 (atan.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (neg.f64 v)) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(+.f64 (*.f64 (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (*.f64 H (*.f64 #s(literal -98/5 binary64) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))) |
(+.f64 (*.f64 (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (*.f64 H (*.f64 #s(literal -98/5 binary64) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))) (*.f64 (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (*.f64 v (*.f64 v (*.f64 v v))))) |
(+.f64 (*.f64 (/.f64 (/.f64 v (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 v v)) (*.f64 (/.f64 (/.f64 v (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)))) |
(+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))))) (*.f64 (*.f64 H (*.f64 #s(literal -98/5 binary64) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))) (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))))) |
(+.f64 (*.f64 (*.f64 H (*.f64 #s(literal -98/5 binary64) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))) (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))))) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))))) |
(+.f64 (*.f64 (*.f64 v v) (/.f64 (/.f64 v (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 (*.f64 H #s(literal 98/5 binary64)) (/.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) |
(fma.f64 (*.f64 v v) (/.f64 (/.f64 v (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 (*.f64 H #s(literal 98/5 binary64)) (/.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) |
(fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (*.f64 (*.f64 H (*.f64 #s(literal -98/5 binary64) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))) (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))))) |
(fma.f64 (*.f64 H (*.f64 #s(literal -98/5 binary64) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))) (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))))) |
(fma.f64 (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (*.f64 H (*.f64 #s(literal -98/5 binary64) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))) |
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 v v) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 10 466× | accelerator-lowering-fma.f32 |
| 10 466× | accelerator-lowering-fma.f64 |
| 6 860× | *-lowering-*.f32 |
| 6 860× | *-lowering-*.f64 |
| 3 680× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 567 | 5634 |
| 1 | 1651 | 5474 |
| 2 | 5146 | 5455 |
| 0 | 8299 | 5126 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
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) |
(- (+ (* -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)))) |
(+ 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)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -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)))))) |
(* (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 -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 (* 49/5 (/ H (pow v 2)))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v) |
(/ -1 v) |
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)) |
(/ 1 v) |
(+ (* 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)) |
(* (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))) |
(+ (* -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))))) |
(* (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))))) |
(/ -5/98 H) |
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(/ 1 (pow v 2)) |
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) |
(/ 1 (pow v 2)) |
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2)) |
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) |
(/ 1 (pow v 2)) |
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))) |
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(/ -5/98 H) |
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H) |
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H) |
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H) |
(/ -5/98 H) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (- 1 (* -49/5 (/ H (pow v 2))))) |
(atan (- 1 (* -49/5 (/ H (pow v 2))))) |
(atan (- 1 (* -49/5 (/ H (pow v 2))))) |
(atan (- 1 (* -49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
(atan (+ 1 (* 49/5 (/ H (pow v 2))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(* 49/5 (/ H (pow v 2))) |
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) |
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) |
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) |
(* 49/5 (/ H (pow v 2))) |
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))) |
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))) |
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))) |
(* 49/5 (/ H (pow v 2))) |
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) |
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) |
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(/ 49/5 (pow v 2)) |
(/ 49/5 (pow v 2)) |
(/ 49/5 (pow v 2)) |
(/ 49/5 (pow v 2)) |
(/ 49/5 (pow v 2)) |
(/ 49/5 (pow v 2)) |
(/ 49/5 (pow v 2)) |
(/ 49/5 (pow v 2)) |
(/ 49/5 (pow v 2)) |
(/ 49/5 (pow v 2)) |
(/ 49/5 (pow v 2)) |
(/ 49/5 (pow v 2)) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5))) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
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) |
(- (+ (* -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)))) |
(+ 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)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(+ (* -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)))))) |
(* (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)))))) |
(* -5/98 (/ v H)) |
(* v (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))) |
(* v (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))) |
(* v (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))) |
(/ 1 v) |
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) v) |
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) v) |
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) v) |
(/ 1 v) |
(* -1 (/ (- (* -98/5 (/ H (pow v 2))) 1) v)) |
(* -1 (/ (- (* -9604/25 (/ (pow H 2) (pow v 4))) (+ 1 (* 98/5 (/ H (pow v 2))))) v)) |
(* -1 (/ (- (* -941192/125 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4)))))) v)) |
(/ 1 v) |
(+ (* 98/5 (/ H (pow v 3))) (/ 1 v)) |
(+ (* H (+ (* 9604/25 (/ H (pow v 5))) (* 98/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 7))) (* 9604/25 (/ 1 (pow v 5))))) (* 98/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(* -5/98 (/ v H)) |
(/ (+ (* -5/98 v) (* -25/9604 (/ (pow v 3) H))) H) |
(/ (- (+ (* -5/98 v) (* -125/941192 (/ (pow v 5) (pow H 2)))) (* 25/9604 (/ (pow v 3) H))) H) |
(/ (- (+ (* -5/98 v) (* -625/92236816 (/ (pow v 7) (pow H 3)))) (+ (* 125/941192 (/ (pow v 5) (pow H 2))) (* 25/9604 (/ (pow v 3) H)))) H) |
(* -5/98 (/ v H)) |
(* -1 (/ (+ (* 25/9604 (/ (pow v 3) H)) (* 5/98 v)) H)) |
(* -1 (/ (+ (* -1 (/ (- (* -125/941192 (/ (pow v 5) H)) (* 25/9604 (pow v 3))) H)) (* 5/98 v)) H)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 7) H)) (* -125/941192 (pow v 5))) H)) (* 25/9604 (pow v 3))) H)) (* 5/98 v)) H)) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(pow v 2) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -98/5 H) (pow v 2)) |
(* -98/5 H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* -98/5 H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -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))))))))) |
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 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)))))))) |
v |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(* (sqrt H) (sqrt -98/5)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -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 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 v v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64)))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H))) (*.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) H) #s(literal -5/196 binary64) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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))))) |
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(+ 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) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (fma.f64 H (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
-1 |
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(- (* -49/5 (/ H (pow v 2))) 1) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1/2 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #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) |
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1 |
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v |
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(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(*.f64 v (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) (neg.f64 v)) |
(* -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)))))))) |
(neg.f64 (fma.f64 v (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) (/.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -117649/250 binary64)) (pow.f64 v #s(literal 6 binary64))))) v)) |
v |
(+ v (* -49/5 (/ H v))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(fma.f64 H (fma.f64 (/.f64 H (*.f64 v (*.f64 v v))) #s(literal -2401/50 binary64) (/.f64 #s(literal -49/5 binary64) v)) v) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(fma.f64 H (fma.f64 H (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) |
(* 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 H (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))) |
(* 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 H (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 (sqrt.f64 H) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))) (neg.f64 H)) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))) (neg.f64 H)) |
(* -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 H (neg.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))))) |
Compiled 43 739 to 4 174 computations (90.5% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 543 | 3 | 1 546 |
| Fresh | 3 | 3 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 548 | 12 | 1 560 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 38.2% | (atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
| ✓ | 33.9% | (atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
| ▶ | 38.5% | (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) |
| ✓ | 68.5% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
| ✓ | 37.0% | (atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
| ▶ | 36.3% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
| ▶ | 33.9% | (atan.f64 (*.f64 (/.f64 (*.f64 v #s(literal -5/98 binary64)) H) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
| ✓ | 36.9% | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) v)) |
| ▶ | 37.0% | (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) |
| 37.2% | (atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) | |
| ✓ | 33.8% | (atan.f64 #s(literal 1 binary64)) |
| ✓ | 38.2% | (atan.f64 #s(literal -1 binary64)) |
Compiled 217 to 152 computations (30% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 v #s(literal -5/98 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 v #s(literal -5/98 binary64)) H) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (*.f64 v #s(literal -5/98 binary64)) H) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
| ✓ | cost-diff | 0 | (atan.f64 (*.f64 (/.f64 (*.f64 v #s(literal -5/98 binary64)) H) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -5/98 binary64) H) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v) |
| ✓ | cost-diff | 0 | (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) |
| ✓ | cost-diff | 0 | (*.f64 v v) |
| ✓ | cost-diff | 0 | (/.f64 H (*.f64 v v)) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -49/5 binary64) v) |
| ✓ | cost-diff | 0 | (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) |
| ✓ | cost-diff | 0 | (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) |
| 226× | *-lowering-*.f32 |
| 226× | *-lowering-*.f64 |
| 100× | associate-*l* |
| 82× | associate-*r* |
| 68× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 179 |
| 1 | 53 | 179 |
| 2 | 82 | 175 |
| 3 | 112 | 175 |
| 4 | 199 | 175 |
| 5 | 227 | 175 |
| 6 | 267 | 175 |
| 7 | 268 | 175 |
| 0 | 268 | 166 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(atan (/ v (+ (* H (/ -49/5 v)) v))) |
(/ v (+ (* H (/ -49/5 v)) v)) |
v |
(+ (* H (/ -49/5 v)) v) |
H |
(/ -49/5 v) |
-49/5 |
(atan (+ (* (/ H (* v v)) -49/5) -1)) |
(+ (* (/ H (* v v)) -49/5) -1) |
(/ H (* v v)) |
H |
(* v v) |
v |
-49/5 |
-1 |
(atan (* (sqrt (/ -5/98 H)) v)) |
(* (sqrt (/ -5/98 H)) v) |
(sqrt (/ -5/98 H)) |
(/ -5/98 H) |
-5/98 |
H |
v |
(atan (/ 1 (/ (sqrt (* H -98/5)) v))) |
(/ 1 (/ (sqrt (* H -98/5)) v)) |
1 |
(/ (sqrt (* H -98/5)) v) |
(sqrt (* H -98/5)) |
(* H -98/5) |
H |
-98/5 |
v |
(atan (* (/ (* v -5/98) H) (sqrt (+ (* v v) (* H -98/5))))) |
(* (/ (* v -5/98) H) (sqrt (+ (* v v) (* H -98/5)))) |
(/ (* v -5/98) H) |
(* v -5/98) |
v |
-5/98 |
H |
(sqrt (+ (* v v) (* H -98/5))) |
(+ (* v v) (* H -98/5)) |
(* H -98/5) |
-98/5 |
| Outputs |
|---|
(atan (/ v (+ (* H (/ -49/5 v)) v))) |
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) |
(/ v (+ (* H (/ -49/5 v)) v)) |
(/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)) |
v |
(+ (* H (/ -49/5 v)) v) |
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) |
H |
(/ -49/5 v) |
(/.f64 #s(literal -49/5 binary64) v) |
-49/5 |
#s(literal -49/5 binary64) |
(atan (+ (* (/ H (* v v)) -49/5) -1)) |
(atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) |
(+ (* (/ H (* v v)) -49/5) -1) |
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) |
(/ H (* v v)) |
(/.f64 H (*.f64 v v)) |
H |
(* v v) |
(*.f64 v v) |
v |
-49/5 |
#s(literal -49/5 binary64) |
-1 |
#s(literal -1 binary64) |
(atan (* (sqrt (/ -5/98 H)) v)) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) |
(* (sqrt (/ -5/98 H)) v) |
(*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))) |
(sqrt (/ -5/98 H)) |
(sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) |
(/ -5/98 H) |
(/.f64 #s(literal -5/98 binary64) H) |
-5/98 |
#s(literal -5/98 binary64) |
H |
v |
(atan (/ 1 (/ (sqrt (* H -98/5)) v))) |
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) |
(/ 1 (/ (sqrt (* H -98/5)) v)) |
(/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) |
1 |
#s(literal 1 binary64) |
(/ (sqrt (* H -98/5)) v) |
(/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) |
(sqrt (* H -98/5)) |
(sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) |
(* H -98/5) |
(*.f64 H #s(literal -98/5 binary64)) |
H |
-98/5 |
#s(literal -98/5 binary64) |
v |
(atan (* (/ (* v -5/98) H) (sqrt (+ (* v v) (* H -98/5))))) |
(atan.f64 (*.f64 (/.f64 (*.f64 v #s(literal -5/98 binary64)) H) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(* (/ (* v -5/98) H) (sqrt (+ (* v v) (* H -98/5)))) |
(*.f64 (/.f64 (*.f64 v #s(literal -5/98 binary64)) H) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(/ (* v -5/98) H) |
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H) |
(* v -5/98) |
(*.f64 v #s(literal -5/98 binary64)) |
v |
-5/98 |
#s(literal -5/98 binary64) |
H |
(sqrt (+ (* v v) (* H -98/5))) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(+ (* v v) (* H -98/5)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(* H -98/5) |
(*.f64 H #s(literal -98/5 binary64)) |
-98/5 |
#s(literal -98/5 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 v #s(literal -5/98 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 H #s(literal -98/5 binary64)) |
| ✓ | accuracy | 96.3% | (*.f64 (/.f64 (*.f64 v #s(literal -5/98 binary64)) H) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
| ✓ | accuracy | 83.2% | (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
| ✓ | accuracy | 99.9% | (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) |
| ✓ | accuracy | 99.5% | (*.f64 H #s(literal -98/5 binary64)) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)) |
| ✓ | accuracy | 100.0% | (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) |
| ✓ | accuracy | 99.9% | (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal -5/98 binary64) H) |
| ✓ | accuracy | 99.8% | (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v) |
| ✓ | accuracy | 100.0% | (*.f64 v v) |
| ✓ | accuracy | 100.0% | (atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 95.2% | (/.f64 H (*.f64 v v)) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) |
| ✓ | accuracy | 100.0% | (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)) |
| ✓ | accuracy | 99.9% | (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -49/5 binary64) v) |
| 46.0ms | 161× | 0 | valid |
| 23.0ms | 90× | 0 | invalid |
| 5.0ms | 5× | 5 | exit |
Compiled 172 to 34 computations (80.2% saved)
ival-mult: 14.0ms (25.5% of total)ival-div: 12.0ms (21.9% of total)const: 10.0ms (18.2% of total)ival-atan: 8.0ms (14.6% of total)ival-sqrt: 5.0ms (9.1% of total)ival-add: 5.0ms (9.1% of total)adjust: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (atan (/ v (+ (* H (/ -49/5 v)) v)))> |
#<alt (/ v (+ (* H (/ -49/5 v)) v))> |
#<alt (+ (* H (/ -49/5 v)) v)> |
#<alt (/ -49/5 v)> |
#<alt (atan (+ (* (/ H (* v v)) -49/5) -1))> |
#<alt (+ (* (/ H (* v v)) -49/5) -1)> |
#<alt (/ H (* v v))> |
#<alt (* v v)> |
#<alt (atan (* (sqrt (/ -5/98 H)) v))> |
#<alt (* (sqrt (/ -5/98 H)) v)> |
#<alt (sqrt (/ -5/98 H))> |
#<alt (/ -5/98 H)> |
#<alt (/ 1 (/ (sqrt (* H -98/5)) v))> |
#<alt (atan (/ 1 (/ (sqrt (* H -98/5)) v)))> |
#<alt (/ (sqrt (* H -98/5)) v)> |
#<alt (sqrt (* H -98/5))> |
#<alt (atan (* (/ (* v -5/98) H) (sqrt (+ (* v v) (* H -98/5)))))> |
#<alt (* (/ (* v -5/98) H) (sqrt (+ (* v v) (* H -98/5))))> |
#<alt (/ (* v -5/98) H)> |
#<alt (* v -5/98)> |
#<alt (* H -98/5)> |
#<alt (sqrt (+ (* v v) (* H -98/5)))> |
| Outputs |
|---|
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))> |
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))> |
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))> |
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))> |
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))> |
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))> |
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))> |
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))> |
#<alt (atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))> |
#<alt (atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))> |
#<alt (atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))> |
#<alt (atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))> |
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#<alt (* v (+ (* -5/98 (* (sqrt (/ 1 H)) (sqrt -98/5))) (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5))))))> |
#<alt (* v (+ (* -5/98 (* (sqrt (/ 1 H)) (sqrt -98/5))) (* (pow v 2) (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -98/5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 3))))))))> |
#<alt (* v (+ (* -5/98 (* (sqrt (/ 1 H)) (sqrt -98/5))) (* (pow v 2) (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt -98/5) 5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt -98/5) 3))))))))))> |
#<alt (* -5/98 (/ (pow v 2) H))> |
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow v 2))) (* 5/98 (/ 1 H))))> |
#<alt (* (pow v 2) (- (+ (* 49/20 (/ H (pow v 4))) (* 1/2 (/ 1 (pow v 2)))) (* 5/98 (/ 1 H))))> |
#<alt (* (pow v 2) (- (+ (* 49/20 (/ H (pow v 4))) (+ (* 2401/100 (/ (pow H 2) (pow v 6))) (* 1/2 (/ 1 (pow v 2))))) (* 5/98 (/ 1 H))))> |
#<alt (* 5/98 (/ (pow v 2) H))> |
#<alt (* (pow v 2) (- (* 5/98 (/ 1 H)) (* 1/2 (/ 1 (pow v 2)))))> |
#<alt (* (pow v 2) (- (+ (* -49/20 (/ H (pow v 4))) (* 5/98 (/ 1 H))) (* 1/2 (/ 1 (pow v 2)))))> |
#<alt (* (pow v 2) (- (+ (* -2401/100 (/ (pow H 2) (pow v 6))) (+ (* -49/20 (/ H (pow v 4))) (* 5/98 (/ 1 H)))) (* 1/2 (/ 1 (pow v 2)))))> |
#<alt (* -5/98 (/ (pow v 2) H))> |
#<alt (/ (+ (* -5/98 (pow v 2)) (* 1/2 H)) H)> |
#<alt (/ (+ (* -5/98 (pow v 2)) (* H (+ 1/2 (* 49/20 (/ H (pow v 2)))))) H)> |
#<alt (/ (+ (* -5/98 (pow v 2)) (* H (+ 1/2 (* H (+ (* 2401/100 (/ H (pow v 4))) (* 49/20 (/ 1 (pow v 2)))))))) H)> |
#<alt (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5))))> |
#<alt (+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))))> |
#<alt (+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3))))))> |
#<alt (+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (+ (* -5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 7) (pow (sqrt -98/5) 5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3)))))))> |
#<alt (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))> |
#<alt (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))> |
#<alt (+ (* -5/784 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))))> |
#<alt (+ (* -5/784 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 (/ v H))> |
#<alt (* -5/98 v)> |
#<alt (* -5/98 v)> |
#<alt (* -5/98 v)> |
#<alt (* -5/98 v)> |
#<alt (* -5/98 v)> |
#<alt (* -5/98 v)> |
#<alt (* -5/98 v)> |
#<alt (* -5/98 v)> |
#<alt (* -5/98 v)> |
#<alt (* -5/98 v)> |
#<alt (* -5/98 v)> |
#<alt (* -5/98 v)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* -98/5 H)> |
#<alt (* (sqrt H) (sqrt -98/5))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))> |
#<alt (+ (* (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)))))))> |
#<alt (+ (* (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)))))))))> |
#<alt v> |
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))> |
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))> |
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))> |
#<alt (* -1 v)> |
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))> |
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))> |
#<alt (* -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))))))))> |
#<alt v> |
#<alt (+ v (* -49/5 (/ H v)))> |
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))> |
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))> |
#<alt (* (sqrt H) (sqrt -98/5))> |
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))> |
#<alt (* 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)))))> |
#<alt (* 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))))))> |
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))> |
#<alt (* -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))))))> |
#<alt (* -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)))))))> |
#<alt (* -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))))))))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | v | @ | inf | (+ (* H (/ -49/5 v)) v) |
| 2.0ms | H | @ | inf | (+ (* H (/ -49/5 v)) v) |
| 2.0ms | v | @ | 0 | (* (/ (* v -5/98) H) (sqrt (+ (* v v) (* H -98/5)))) |
| 1.0ms | H | @ | -inf | (* (/ (* v -5/98) H) (sqrt (+ (* v v) (* H -98/5)))) |
| 1.0ms | H | @ | inf | (* (/ (* v -5/98) H) (sqrt (+ (* v v) (* H -98/5)))) |
| 1× | batch-egg-rewrite |
| 7 734× | accelerator-lowering-fma.f32 |
| 7 734× | accelerator-lowering-fma.f64 |
| 5 284× | *-lowering-*.f32 |
| 5 284× | *-lowering-*.f64 |
| 3 170× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 147 |
| 1 | 145 | 147 |
| 2 | 925 | 147 |
| 0 | 8406 | 139 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (/ v (+ (* H (/ -49/5 v)) v))) |
(/ v (+ (* H (/ -49/5 v)) v)) |
(+ (* H (/ -49/5 v)) v) |
(/ -49/5 v) |
(atan (+ (* (/ H (* v v)) -49/5) -1)) |
(+ (* (/ H (* v v)) -49/5) -1) |
(/ H (* v v)) |
(* v v) |
(atan (* (sqrt (/ -5/98 H)) v)) |
(* (sqrt (/ -5/98 H)) v) |
(sqrt (/ -5/98 H)) |
(/ -5/98 H) |
(/ 1 (/ (sqrt (* H -98/5)) v)) |
(atan (/ 1 (/ (sqrt (* H -98/5)) v))) |
(/ (sqrt (* H -98/5)) v) |
(sqrt (* H -98/5)) |
(atan (* (/ (* v -5/98) H) (sqrt (+ (* v v) (* H -98/5))))) |
(* (/ (* v -5/98) H) (sqrt (+ (* v v) (* H -98/5)))) |
(/ (* v -5/98) H) |
(* v -5/98) |
(* H -98/5) |
(sqrt (+ (* v v) (* H -98/5))) |
| Outputs |
|---|
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) |
(neg.f64 (atan.f64 (neg.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))) |
(+.f64 (*.f64 (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 2401/25 binary64) (*.f64 H H)) (*.f64 v v))) (*.f64 (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (*.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))))) |
(+.f64 (*.f64 (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (*.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)))) (*.f64 (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 2401/25 binary64) (*.f64 H H)) (*.f64 v v)))) |
(+.f64 (*.f64 (/.f64 v (fma.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H) (*.f64 v (neg.f64 v)))) (/.f64 H (*.f64 v #s(literal -5/49 binary64)))) (*.f64 (/.f64 v (fma.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H) (*.f64 v (neg.f64 v)))) (neg.f64 v))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2401/25 binary64) (*.f64 H H)) (*.f64 v v)) (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))) (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) |
(+.f64 (*.f64 (*.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))) (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))))) (*.f64 (/.f64 (*.f64 #s(literal 2401/25 binary64) (*.f64 H H)) (*.f64 v v)) (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) |
(+.f64 (*.f64 (/.f64 H (*.f64 v #s(literal -5/49 binary64))) (/.f64 v (fma.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H) (*.f64 v (neg.f64 v))))) (*.f64 (neg.f64 v) (/.f64 v (fma.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H) (*.f64 v (neg.f64 v)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) v)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)) (neg.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))) |
(fma.f64 (/.f64 H (*.f64 v #s(literal -5/49 binary64))) (/.f64 v (fma.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H) (*.f64 v (neg.f64 v)))) (*.f64 (neg.f64 v) (/.f64 v (fma.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H) (*.f64 v (neg.f64 v)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2401/25 binary64) (*.f64 H H)) (*.f64 v v)) (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))) (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) |
(fma.f64 (*.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))) (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (*.f64 (/.f64 (*.f64 #s(literal 2401/25 binary64) (*.f64 H H)) (*.f64 v v)) (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))))) |
(fma.f64 (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 2401/25 binary64) (*.f64 H H)) (*.f64 v v)) (*.f64 (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (*.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))))) |
(fma.f64 (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (*.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))) (*.f64 (/.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 2401/25 binary64) (*.f64 H H)) (*.f64 v v)))) |
(fma.f64 (/.f64 v (fma.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H) (*.f64 v (neg.f64 v)))) (/.f64 H (*.f64 v #s(literal -5/49 binary64))) (*.f64 (/.f64 v (fma.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H) (*.f64 v (neg.f64 v)))) (neg.f64 v))) |
(neg.f64 (neg.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) v))) |
(/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) v)) |
(/.f64 (neg.f64 v) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)) |
(/.f64 (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -117649/125 binary64)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -117649/125 binary64))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))) (*.f64 v (*.f64 (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)) (*.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)))))))) (*.f64 (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2401/25 binary64) (*.f64 H H)) (*.f64 #s(literal 2401/25 binary64) (*.f64 H H))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))) (-.f64 (*.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))) (/.f64 (*.f64 #s(literal 2401/25 binary64) (*.f64 H H)) (*.f64 v v))))))) |
(/.f64 (*.f64 v (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2401/25 binary64) (*.f64 H H)) (*.f64 #s(literal 2401/25 binary64) (*.f64 H H))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)) (*.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))))))) (*.f64 (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (fma.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H) (*.f64 (neg.f64 v) (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)))))) |
(/.f64 (*.f64 v (fma.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H) (*.f64 v (neg.f64 v)))) (*.f64 (fma.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H) (*.f64 v (neg.f64 v))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) |
(/.f64 (*.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (neg.f64 v)) v))) (*.f64 (fma.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H) (*.f64 v (neg.f64 v))) (fma.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H) (*.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))) |
(pow.f64 (/.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) v) #s(literal -1 binary64)) |
(*.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))) |
(*.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) |
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(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v))))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) |
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v))))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v))))))))) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v))))))))) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 12 996× | accelerator-lowering-fma.f32 |
| 12 996× | accelerator-lowering-fma.f64 |
| 6 184× | *-lowering-*.f32 |
| 6 184× | *-lowering-*.f64 |
| 3 752× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 445 | 4663 |
| 1 | 1246 | 4638 |
| 2 | 3806 | 4606 |
| 0 | 8395 | 4407 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v)))) |
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v)))) |
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v)))) |
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v)))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (- v (* 49/5 (/ H v))))) |
(atan (/ v (- v (* 49/5 (/ H v))))) |
(atan (/ v (- v (* 49/5 (/ H v))))) |
(atan (/ v (- v (* 49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(* -5/49 (/ (pow v 2) H)) |
(* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H)))) |
(* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H)))) |
(* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H)))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2)))) |
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2)))) |
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(* -5/49 (/ (pow v 2) H)) |
(/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H) |
(/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H) |
(/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H) |
(* -5/49 (/ (pow v 2) H)) |
(* -1 (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H)) |
(* -1 (/ (+ (* -1 (/ (- (* -125/117649 (/ (pow v 6) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/5764801 (/ (pow v 8) H)) (* -125/117649 (pow v 6))) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H)) |
v |
(+ v (* -49/5 (/ H v))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* -49/5 (/ H v))) |
(* -49/5 (/ H v)) |
(* H (- (/ v H) (* 49/5 (/ 1 v)))) |
(* H (- (/ v H) (* 49/5 (/ 1 v)))) |
(* H (- (/ v H) (* 49/5 (/ 1 v)))) |
(* -49/5 (/ H v)) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))) |
(* -49/5 (/ H v)) |
(/ (+ (* -49/5 H) (pow v 2)) v) |
(/ (+ (* -49/5 H) (pow v 2)) v) |
(/ (+ (* -49/5 H) (pow v 2)) v) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
v |
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1))) |
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1))) |
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1))) |
(/ -49/5 v) |
(/ -49/5 v) |
(/ -49/5 v) |
(/ -49/5 v) |
(/ -49/5 v) |
(/ -49/5 v) |
(/ -49/5 v) |
(/ -49/5 v) |
(/ -49/5 v) |
(/ -49/5 v) |
(/ -49/5 v) |
(/ -49/5 v) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (neg (+ 1 (* 49/5 (/ H (pow v 2)))))) |
(atan (neg (+ 1 (* 49/5 (/ H (pow v 2)))))) |
(atan (neg (+ 1 (* 49/5 (/ H (pow v 2)))))) |
(atan (neg (+ 1 (* 49/5 (/ H (pow v 2)))))) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
(atan (- (* -49/5 (/ H (pow v 2))) 1)) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(* -49/5 (/ H (pow v 2))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
(* -49/5 (/ H (pow v 2))) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(* -49/5 (/ H (pow v 2))) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(/ H (pow v 2)) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(/ -5/98 H) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* (sqrt H) (sqrt -98/5)) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (- (pow v 2) (* 98/5 H)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (- (pow v 2) (* 98/5 H)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (- (pow v 2) (* 98/5 H)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (- (pow v 2) (* 98/5 H)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2)))))) |
(* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) |
(* v (+ (* -5/98 (* (sqrt (/ 1 H)) (sqrt -98/5))) (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))))) |
(* v (+ (* -5/98 (* (sqrt (/ 1 H)) (sqrt -98/5))) (* (pow v 2) (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -98/5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 3)))))))) |
(* v (+ (* -5/98 (* (sqrt (/ 1 H)) (sqrt -98/5))) (* (pow v 2) (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt -98/5) 5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt -98/5) 3)))))))))) |
(* -5/98 (/ (pow v 2) H)) |
(* (pow v 2) (- (* 1/2 (/ 1 (pow v 2))) (* 5/98 (/ 1 H)))) |
(* (pow v 2) (- (+ (* 49/20 (/ H (pow v 4))) (* 1/2 (/ 1 (pow v 2)))) (* 5/98 (/ 1 H)))) |
(* (pow v 2) (- (+ (* 49/20 (/ H (pow v 4))) (+ (* 2401/100 (/ (pow H 2) (pow v 6))) (* 1/2 (/ 1 (pow v 2))))) (* 5/98 (/ 1 H)))) |
(* 5/98 (/ (pow v 2) H)) |
(* (pow v 2) (- (* 5/98 (/ 1 H)) (* 1/2 (/ 1 (pow v 2))))) |
(* (pow v 2) (- (+ (* -49/20 (/ H (pow v 4))) (* 5/98 (/ 1 H))) (* 1/2 (/ 1 (pow v 2))))) |
(* (pow v 2) (- (+ (* -2401/100 (/ (pow H 2) (pow v 6))) (+ (* -49/20 (/ H (pow v 4))) (* 5/98 (/ 1 H)))) (* 1/2 (/ 1 (pow v 2))))) |
(* -5/98 (/ (pow v 2) H)) |
(/ (+ (* -5/98 (pow v 2)) (* 1/2 H)) H) |
(/ (+ (* -5/98 (pow v 2)) (* H (+ 1/2 (* 49/20 (/ H (pow v 2)))))) H) |
(/ (+ (* -5/98 (pow v 2)) (* H (+ 1/2 (* H (+ (* 2401/100 (/ H (pow v 4))) (* 49/20 (/ 1 (pow v 2)))))))) H) |
(* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) |
(+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5))))) |
(+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3)))))) |
(+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (+ (* -5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 7) (pow (sqrt -98/5) 5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3))))))) |
(* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) |
(+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))) |
(+ (* -5/784 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))) |
(+ (* -5/784 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))))) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 (/ v H)) |
(* -5/98 v) |
(* -5/98 v) |
(* -5/98 v) |
(* -5/98 v) |
(* -5/98 v) |
(* -5/98 v) |
(* -5/98 v) |
(* -5/98 v) |
(* -5/98 v) |
(* -5/98 v) |
(* -5/98 v) |
(* -5/98 v) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -98/5 H) |
(* -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))))))))) |
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 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)))))))) |
v |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(* (sqrt H) (sqrt -98/5)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -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 (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v)))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v)))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v)))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v)))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (- v (* 49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (- v (* 49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (- v (* 49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (- v (* 49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(atan (/ v (+ v (* -49/5 (/ H v))))) |
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(* -5/49 (/ (pow v 2) H)) |
(*.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 v v) H)) |
(* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H)))) |
(*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (/.f64 #s(literal -25/2401 binary64) (*.f64 H H)) (/.f64 #s(literal -5/49 binary64) H))) |
(* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H)))) |
(*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (/.f64 #s(literal -125/117649 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -25/2401 binary64) (*.f64 H H))) (/.f64 #s(literal -5/49 binary64) H))) |
(* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H)))) |
(*.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -625/5764801 binary64) (/.f64 (*.f64 v v) (pow.f64 H #s(literal 4 binary64))) (/.f64 #s(literal -125/117649 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal -25/2401 binary64) (*.f64 H H)))) (/.f64 #s(literal -5/49 binary64) H))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2)))) |
(fma.f64 H (fma.f64 H (/.f64 #s(literal 2401/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #s(literal 1 binary64)) |
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
(fma.f64 H (fma.f64 H (/.f64 #s(literal 2401/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) (fma.f64 #s(literal 117649/125 binary64) (*.f64 H (*.f64 H (/.f64 H (pow.f64 v #s(literal 6 binary64))))) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2)))) |
(fma.f64 H (fma.f64 H (/.f64 #s(literal 2401/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #s(literal 1 binary64)) |
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
(fma.f64 H (fma.f64 H (/.f64 #s(literal 2401/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) (fma.f64 #s(literal 117649/125 binary64) (*.f64 H (*.f64 H (/.f64 H (pow.f64 v #s(literal 6 binary64))))) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 H (fma.f64 H (/.f64 #s(literal 2401/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #s(literal 1 binary64)) |
(+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 H (fma.f64 H (fma.f64 #s(literal 117649/125 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 2401/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #s(literal 1 binary64)) |
(* -5/49 (/ (pow v 2) H)) |
(*.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 v v) H)) |
(/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H) |
(/.f64 (fma.f64 #s(literal -25/2401 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) (*.f64 v (*.f64 v #s(literal -5/49 binary64)))) H) |
(/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H) |
(/.f64 (fma.f64 v (*.f64 v #s(literal -5/49 binary64)) (/.f64 (fma.f64 #s(literal -25/2401 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 #s(literal -125/117649 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) H))) H)) H) |
(/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H) |
(/.f64 (fma.f64 v (*.f64 v #s(literal -5/49 binary64)) (fma.f64 #s(literal -625/5764801 binary64) (/.f64 (pow.f64 v #s(literal 8 binary64)) (*.f64 H (*.f64 H H))) (/.f64 (fma.f64 #s(literal -25/2401 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 #s(literal -125/117649 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) H))) H))) H) |
(* -5/49 (/ (pow v 2) H)) |
(*.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 v v) H)) |
(* -1 (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H)) |
(/.f64 (fma.f64 v (*.f64 v #s(literal 5/49 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 #s(literal 25/2401 binary64) H))) (neg.f64 H)) |
(* -1 (/ (+ (* -1 (/ (- (* -125/117649 (/ (pow v 6) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H)) |
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 5/49 binary64)) (/.f64 (fma.f64 #s(literal -25/2401 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 #s(literal -125/117649 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) H))) H)) H)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/5764801 (/ (pow v 8) H)) (* -125/117649 (pow v 6))) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H)) |
(/.f64 (fma.f64 v (*.f64 v #s(literal 5/49 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 125/117649 binary64) (pow.f64 v #s(literal 6 binary64)) (/.f64 (*.f64 (pow.f64 v #s(literal 8 binary64)) #s(literal 625/5764801 binary64)) H)) H) (*.f64 #s(literal 25/2401 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H)) (neg.f64 H)) |
v |
(+ v (* -49/5 (/ H v))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v) |
(+ v (* -49/5 (/ H v))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v) |
(+ v (* -49/5 (/ H v))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v) |
(* -49/5 (/ H v)) |
(/.f64 (*.f64 #s(literal -49/5 binary64) H) v) |
(* H (- (/ v H) (* 49/5 (/ 1 v)))) |
(*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) |
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(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64)) (*.f64 #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) (+ (* 1/2 (* (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 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 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)))))) (*.f64 #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))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(fma.f64 (/.f64 H (*.f64 v v)) (*.f64 #s(literal -49/5 binary64) v) v) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(fma.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) 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))))))) |
(fma.f64 v (fma.f64 (*.f64 H (*.f64 H (/.f64 H (pow.f64 v #s(literal 6 binary64))))) #s(literal -117649/250 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))) v) |
(* -1 v) |
(neg.f64 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(*.f64 v (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(neg.f64 (fma.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) v)) |
(* -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)))))))) |
(neg.f64 (fma.f64 v (fma.f64 (*.f64 H (*.f64 H (/.f64 H (pow.f64 v #s(literal 6 binary64))))) #s(literal -117649/250 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))) v)) |
v |
(+ v (* -49/5 (/ H v))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(fma.f64 H (fma.f64 H (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(fma.f64 H (fma.f64 H (fma.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(*.f64 H (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(*.f64 H (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 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)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 (sqrt.f64 H) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (/.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) #s(literal 1/2 binary64)))) (neg.f64 H)) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))) (neg.f64 H)) |
(* -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)))))))) |
(neg.f64 (*.f64 H (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (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))) (*.f64 (/.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) #s(literal 1/2 binary64)))))))) |
Compiled 18 433 to 2 673 computations (85.5% saved)
13 alts after pruning (2 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 119 | 2 | 1 121 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 120 | 13 | 1 133 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 38.2% | (atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
| ✓ | 33.9% | (atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
| ✓ | 38.5% | (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) |
| ✓ | 68.5% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
| ✓ | 37.0% | (atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
| ✓ | 36.3% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
| ✓ | 33.9% | (atan.f64 (*.f64 (/.f64 (*.f64 v #s(literal -5/98 binary64)) H) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
| 36.9% | (atan.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (neg.f64 H))) v)) | |
| ✓ | 36.9% | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) v)) |
| ✓ | 37.0% | (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) |
| 12.8% | (atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 v v) H))) | |
| ✓ | 33.8% | (atan.f64 #s(literal 1 binary64)) |
| ✓ | 38.2% | (atan.f64 #s(literal -1 binary64)) |
Compiled 513 to 240 computations (53.2% saved)
| Inputs |
|---|
(atan.f64 #s(literal -1 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
(atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 v v) H))) |
(atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) |
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
(atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) |
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) v)) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))) |
(atan.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (neg.f64 H))) v)) |
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (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 (/.f64 (*.f64 v #s(literal -5/98 binary64)) H) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))) |
(atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(atan.f64 (/.f64 (*.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))) |
(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))) |
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)) (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))))) |
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
| Outputs |
|---|
(atan.f64 #s(literal -1 binary64)) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(atan.f64 #s(literal 1 binary64)) |
5 calls:
| 9.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 9.0ms | H |
| 8.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 8.0ms | v |
| 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 |
| 72.5% | 3 | H |
| 83.7% | 3 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 83.7% | 3 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 72.5% | 3 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
Compiled 42 to 31 computations (26.2% saved)
| Inputs |
|---|
(atan.f64 #s(literal -1 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
(atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 v v) H))) |
(atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) |
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
(atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) |
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) |
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) v)) |
| Outputs |
|---|
(atan.f64 #s(literal -1 binary64)) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) |
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))) |
1 calls:
| 4.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 3 | v |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(atan.f64 #s(literal -1 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
(atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 v v) H))) |
(atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) |
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
(atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) |
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) |
| Outputs |
|---|
(atan.f64 #s(literal -1 binary64)) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) |
(atan.f64 #s(literal 1 binary64)) |
1 calls:
| 3.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | v |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(atan.f64 #s(literal -1 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
(atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 v v) H))) |
(atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) |
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) |
(atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
| Outputs |
|---|
(atan.f64 #s(literal -1 binary64)) |
(atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 v v) H))) |
(atan.f64 #s(literal 1 binary64)) |
3 calls:
| 4.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 3.0ms | v |
| 2.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.4% | 2 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 54.4% | 2 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 74.6% | 3 | v |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
(atan.f64 #s(literal -1 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
| Outputs |
|---|
(atan.f64 #s(literal -1 binary64)) |
(atan.f64 #s(literal 1 binary64)) |
3 calls:
| 2.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 2.0ms | v |
| 1.0ms | H |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.6% | 3 | H |
| 41.6% | 3 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 70.1% | 2 | v |
Compiled 13 to 10 computations (23.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(atan.f64 #s(literal -1 binary64)) |
| Outputs |
|---|
(atan.f64 #s(literal -1 binary64)) |
5 calls:
| 2.0ms | (/.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 | H |
| 1.0ms | v |
| 1.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.2% | 1 | H |
| 38.2% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 38.2% | 1 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 38.2% | 1 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 38.2% | 1 | v |
Compiled 42 to 31 computations (26.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 8.509091443514015e+115 | 1.9779780853680818e+117 |
| 2.0ms | -3.1592439315189325e+156 | -2.8905650676088823e+147 |
| 12.0ms | 128× | 0 | valid |
| 0.0ms | 6× | 0 | invalid |
Compiled 162 to 128 computations (21% saved)
ival-mult: 3.0ms (33.1% of total)const: 2.0ms (22% of total)ival-div: 1.0ms (11% of total)ival-atan: 1.0ms (11% of total)ival-sub: 1.0ms (11% of total)ival-sqrt: 1.0ms (11% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3094096687001124e-17 | 1.318429649940323e-17 |
| 26.0ms | -9.138775230236209e-126 | -4.38999232058025e-131 |
| 11.0ms | 144× | 0 | valid |
| 4.0ms | 54× | 0 | invalid |
Compiled 153 to 133 computations (13.1% saved)
ival-mult: 4.0ms (37.8% of total)const: 2.0ms (18.9% of total)ival-div: 1.0ms (9.4% of total)ival-atan: 1.0ms (9.4% of total)ival-sub: 1.0ms (9.4% of total)ival-sqrt: 1.0ms (9.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3094096687001124e-17 | 1.318429649940323e-17 |
| 24.0ms | -9.138775230236209e-126 | -4.38999232058025e-131 |
| 13.0ms | 144× | 0 | valid |
| 4.0ms | 54× | 0 | invalid |
Compiled 153 to 133 computations (13.1% saved)
ival-mult: 4.0ms (32.7% of total)ival-sub: 3.0ms (24.6% of total)const: 2.0ms (16.4% of total)ival-div: 1.0ms (8.2% of total)ival-atan: 1.0ms (8.2% of total)ival-sqrt: 1.0ms (8.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 7.438990947733845e-138 | 1.1708545114384438e-132 |
| 30.0ms | -2.0696724167665456e-141 | -3.669347844863868e-153 |
| 23.0ms | 304× | 0 | valid |
| 15.0ms | 175× | 0 | invalid |
Compiled 322 to 263 computations (18.3% saved)
ival-mult: 8.0ms (30.1% of total)const: 8.0ms (30.1% of total)ival-sqrt: 3.0ms (11.3% of total)ival-div: 2.0ms (7.5% of total)ival-atan: 2.0ms (7.5% of total)ival-sub: 2.0ms (7.5% 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 |
|---|---|---|
| 30.0ms | 4.948870265679162e-296 | 1.2808829353983387e-264 |
| 15.0ms | 176× | 0 | valid |
| 6.0ms | 84× | 0 | invalid |
Compiled 128 to 126 computations (1.6% saved)
ival-mult: 4.0ms (25.9% of total)ival-sqrt: 4.0ms (25.9% of total)const: 3.0ms (19.4% of total)ival-div: 1.0ms (6.5% of total)ival-atan: 1.0ms (6.5% of total)ival-sub: 1.0ms (6.5% 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 |
| 6× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 97 |
| 1 | 56 | 97 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 v #s(literal -1999999999999999966718360446383443429120744550034941072734015228920936835002025109062955753891877483502474776688726210135069014696329147466931020740652171264 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 1949999999999999951599835360271914619912912547761700642356953119684478161943531790608413539156809286922127874862350336 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(literal 1 binary64)))) |
(if (<=.f64 v #s(literal -6859310779502913/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 2125596526462695/162259276829213363391578010288128 binary64)) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))) |
(if (<=.f64 v #s(literal -6859310779502913/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 2125596526462695/162259276829213363391578010288128 binary64)) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) (atan.f64 #s(literal 1 binary64)))) |
(if (<=.f64 v #s(literal -6604434243437697/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5237424972633827/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) (atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 v v) H))) (atan.f64 #s(literal 1 binary64)))) |
(if (<=.f64 v #s(literal 4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64))) |
(atan.f64 #s(literal -1 binary64)) |
| Outputs |
|---|
(if (<=.f64 v #s(literal -1999999999999999966718360446383443429120744550034941072734015228920936835002025109062955753891877483502474776688726210135069014696329147466931020740652171264 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 1949999999999999951599835360271914619912912547761700642356953119684478161943531790608413539156809286922127874862350336 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(literal 1 binary64)))) |
(if (<=.f64 v #s(literal -6859310779502913/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 2125596526462695/162259276829213363391578010288128 binary64)) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))) |
(if (<=.f64 v #s(literal -6859310779502913/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 2125596526462695/162259276829213363391578010288128 binary64)) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))) |
(if (<=.f64 v #s(literal -6859310779502913/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 2125596526462695/162259276829213363391578010288128 binary64)) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) (atan.f64 #s(literal 1 binary64)))) |
(if (<=.f64 v #s(literal -6859310779502913/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 2125596526462695/162259276829213363391578010288128 binary64)) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 #s(literal 1 binary64)))) |
(if (<=.f64 v #s(literal -6604434243437697/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5237424972633827/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) (atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 v v) H))) (atan.f64 #s(literal 1 binary64)))) |
(if (<=.f64 v #s(literal 4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64))) |
(atan.f64 #s(literal -1 binary64)) |
| 12 996× | accelerator-lowering-fma.f32 |
| 12 996× | accelerator-lowering-fma.f64 |
| 10 466× | accelerator-lowering-fma.f32 |
| 10 466× | accelerator-lowering-fma.f64 |
| 10 028× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 1843 |
| 1 | 933 | 1797 |
| 2 | 3166 | 1774 |
| 3 | 7239 | 1741 |
| 0 | 8256 | 1626 |
| 0 | 567 | 5634 |
| 1 | 1651 | 5474 |
| 2 | 5146 | 5455 |
| 0 | 8299 | 5126 |
| 0 | 12 | 40 |
| 1 | 43 | 40 |
| 2 | 268 | 40 |
| 3 | 2262 | 40 |
| 0 | 8980 | 36 |
| 0 | 445 | 4663 |
| 1 | 1246 | 4638 |
| 2 | 3806 | 4606 |
| 0 | 8395 | 4407 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 205 to 137 computations (33.2% saved)
Compiled 228 to 122 computations (46.5% saved)
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