
Time bar (total: 6.5s)
| 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)
| 817.0ms | 8 256× | 0 | valid |
| 9.0ms | 117× | 0 | invalid |
ival-mult: 176.0ms (30.7% of total)const: 118.0ms (20.6% of total)ival-atan: 84.0ms (14.7% of total)ival-sqrt: 75.0ms (13.1% of total)ival-div: 65.0ms (11.3% of total)ival-sub: 38.0ms (6.6% of total)ival-true: 6.0ms (1% of total)exact: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 84 | 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 | 84 | 0 |
| ↳ | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | overflow | 84 | |
| ↳ | (*.f64 v v) | overflow | 84 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 84 | 3 |
| - | 0 | 169 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 84 | 0 | 3 |
| - | 0 | 0 | 169 |
| number | freq |
|---|---|
| 0 | 172 |
| 1 | 84 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 492× | 0 | valid |
| 11.0ms | 20× | 5 | exit |
Compiled 194 to 48 computations (75.3% saved)
ival-mult: 11.0ms (27.2% of total)const: 10.0ms (24.7% of total)ival-atan: 6.0ms (14.8% of total)ival-div: 4.0ms (9.9% of total)ival-sqrt: 4.0ms (9.9% of total)ival-sub: 3.0ms (7.4% of total)adjust: 2.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 61 |
| 1 | 63 | 59 |
| 2 | 118 | 59 |
| 3 | 223 | 59 |
| 4 | 391 | 59 |
| 5 | 639 | 59 |
| 6 | 866 | 59 |
| 7 | 1009 | 59 |
| 8 | 1154 | 59 |
| 9 | 1188 | 59 |
| 10 | 1204 | 59 |
| 0 | 11 | 11 |
| 0 | 19 | 11 |
| 1 | 26 | 11 |
| 2 | 36 | 11 |
| 3 | 45 | 11 |
| 4 | 61 | 11 |
| 5 | 82 | 11 |
| 6 | 126 | 11 |
| 7 | 173 | 11 |
| 8 | 229 | 11 |
| 9 | 286 | 11 |
| 10 | 375 | 11 |
| 11 | 415 | 11 |
| 12 | 504 | 11 |
| 13 | 526 | 11 |
| 14 | 534 | 11 |
| 0 | 534 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
Compiled 13 to 11 computations (15.4% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.9% | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) | |
| cost-diff | 128 | (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) | |
| cost-diff | 320 | (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 0 | 19 | 47 |
| 1 | 26 | 47 |
| 2 | 36 | 47 |
| 3 | 45 | 47 |
| 4 | 61 | 47 |
| 5 | 82 | 47 |
| 6 | 126 | 47 |
| 7 | 173 | 47 |
| 8 | 229 | 47 |
| 9 | 286 | 47 |
| 10 | 375 | 47 |
| 11 | 415 | 47 |
| 12 | 504 | 47 |
| 13 | 526 | 47 |
| 14 | 534 | 47 |
| 0 | 534 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
v |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(*.f64 v v) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
#s(literal 2 binary64) |
#s(literal 49/5 binary64) |
H |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
v |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(*.f64 v v) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
(*.f64 H #s(literal 98/5 binary64)) |
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
#s(literal 98/5 binary64) |
#s(literal 2 binary64) |
#s(literal 49/5 binary64) |
H |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) | |
| accuracy | 0.078125 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) | |
| accuracy | 0.40625 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) | |
| accuracy | 19.689675032450992 | (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
| 35.0ms | 246× | 0 | valid |
| 10.0ms | 10× | 5 | exit |
Compiled 120 to 24 computations (80% saved)
const: 15.0ms (48.3% of total)ival-mult: 6.0ms (19.3% of total)ival-div: 3.0ms (9.7% of total)ival-atan: 3.0ms (9.7% of total)ival-sqrt: 2.0ms (6.4% of total)adjust: 1.0ms (3.2% of total)ival-sub: 1.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| Outputs |
|---|
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(+ (* -98/5 H) (pow v 2)) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(* 98/5 H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | H | @ | -inf | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 3.0ms | v | @ | 0 | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 3.0ms | H | @ | inf | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 2.0ms | v | @ | inf | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 1.0ms | v | @ | -inf | ((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 1366 |
| 1 | 933 | 1320 |
| 2 | 3156 | 1297 |
| 3 | 7233 | 1284 |
| 0 | 8250 | 1205 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(+ (* -98/5 H) (pow v 2)) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(* 98/5 H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
| Outputs |
|---|
(* -98/5 H) |
(*.f64 #s(literal -98/5 binary64) H) |
(- (pow v 2) (* 98/5 H)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) v) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(fma.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (*.f64 (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 v v))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5/784 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 v v)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))))) (fma.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))) |
(pow v 2) |
(*.f64 v v) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 H H)) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -2401/50 binary64) H) (/.f64 H (pow.f64 v #s(literal 4 binary64)))) v (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(*.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) (/.f64 #s(literal -117649/250 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -2401/50 binary64) H) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) v) |
-1 |
#s(literal -1 binary64) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 H H)) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(fma.f64 (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(* -1 v) |
(neg.f64 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(*.f64 (fma.f64 #s(literal 2401/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) H) (fma.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))) 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)))))))) |
(*.f64 (fma.f64 #s(literal 117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 2401/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) H) (fma.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)))) v) |
(+ (* -98/5 H) (pow v 2)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 7203/50 binary64) (pow.f64 v #s(literal 4 binary64))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (pow.f64 v #s(literal 4 binary64)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)) |
(+ v (* -49/5 (/ H v))) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal 3 binary64))) H (/.f64 #s(literal -49/5 binary64) v)) H v) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal 3 binary64)))) H (/.f64 #s(literal -49/5 binary64) v)) H v) |
(* 98/5 H) |
(*.f64 #s(literal 98/5 binary64) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -125/1882384 binary64) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -125/1882384 binary64) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/3764768 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal 5/98 binary64))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64)) (pow.f64 v #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64)) (pow.f64 v #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (/.f64 (fma.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/3764768 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal -125/1882384 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 H)))) (pow.f64 H #s(literal 3 binary64))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 H))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) 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 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) 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 #s(literal -1/16 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))) H) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 0 | 19 | 40 |
| 1 | 50 | 40 |
| 2 | 275 | 40 |
| 3 | 2260 | 40 |
| 0 | 8978 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) |
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) |
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| Outputs |
|---|
#s(literal 98/5 binary64) |
(*.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))) |
(*.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (pow.f64 v #s(literal 18 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 v #s(literal 12 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (-.f64 (pow.f64 v #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (-.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 8 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (-.f64 (pow.f64 v #s(literal 8 binary64)) (*.f64 #s(literal 9604/25 binary64) (pow.f64 (*.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) #s(literal 2 binary64))))) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 941192/125 binary64) (pow.f64 (*.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) #s(literal 3 binary64)) (pow.f64 v #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))) (-.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 8 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(*.f64 (/.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 (neg.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) |
(*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (pow.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (pow.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))))))) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 v #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64))) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 6 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 8 binary64))) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 6 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 v #s(literal 18 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 9 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 v #s(literal 12 binary64))) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 v #s(literal 9 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 9/2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 v #s(literal 12 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 8 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -98/5 binary64)) H))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(exp.f64 (neg.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal -1 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (exp.f64 (log.f64 #s(literal 98/5 binary64))) (exp.f64 (log.f64 H))) |
(*.f64 (exp.f64 (log.f64 H)) (exp.f64 (log.f64 #s(literal 98/5 binary64)))) |
(*.f64 (pow.f64 H #s(literal 1 binary64)) #s(literal 98/5 binary64)) |
(*.f64 H #s(literal 98/5 binary64)) |
(*.f64 #s(literal 98/5 binary64) (pow.f64 H #s(literal 1 binary64))) |
(*.f64 #s(literal 98/5 binary64) H) |
(pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 H #s(literal 98/5 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 H #s(literal 98/5 binary64)))) |
Compiled 12 671 to 2 040 computations (83.9% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 366 | 14 | 380 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 367 | 14 | 381 |
| Status | Accuracy | Program |
|---|---|---|
| 63.5% | (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) | |
| 65.8% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))))) | |
| ▶ | 66.9% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| 39.9% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) | |
| 37.6% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) | |
| ▶ | 36.9% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))))) |
| ▶ | 66.8% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
| 66.9% | (atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v)) | |
| 66.9% | (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 v))) | |
| ▶ | 34.8% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
| 34.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) | |
| 34.6% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) | |
| ▶ | 33.9% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| 66.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
Compiled 532 to 386 computations (27.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) | |
| cost-diff | 0 | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) | |
| cost-diff | 0 | #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))) | |
| cost-diff | 0 | (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v) | |
| cost-diff | 0 | (/.f64 H (*.f64 v v)) | |
| cost-diff | 0 | (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 263 |
| 0 | 62 | 247 |
| 1 | 96 | 247 |
| 2 | 153 | 243 |
| 3 | 251 | 243 |
| 4 | 550 | 243 |
| 5 | 1208 | 243 |
| 6 | 1821 | 243 |
| 7 | 2107 | 243 |
| 8 | 2246 | 243 |
| 9 | 2314 | 243 |
| 10 | 2404 | 243 |
| 11 | 2468 | 243 |
| 12 | 2519 | 243 |
| 13 | 2635 | 243 |
| 14 | 2655 | 243 |
| 15 | 2719 | 243 |
| 16 | 2771 | 243 |
| 17 | 2913 | 243 |
| 18 | 3205 | 243 |
| 19 | 3205 | 243 |
| 20 | 3205 | 243 |
| 0 | 3205 | 242 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) |
v |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) |
#s(literal 49/5 binary64) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)))) |
v |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)) |
(fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v) |
(*.f64 (/.f64 #s(literal -49/5 binary64) v) H) |
(/.f64 #s(literal -49/5 binary64) v) |
#s(literal -49/5 binary64) |
H |
#s(literal 1 binary64) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
v |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 H #s(literal -98/5 binary64)) |
#s(literal -98/5 binary64) |
H |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) |
#s(literal 49/5 binary64) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) |
v |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)) |
(neg.f64 (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)) |
(fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v) |
(*.f64 (/.f64 #s(literal -49/5 binary64) v) H) |
(/.f64 #s(literal -49/5 binary64) v) |
#s(literal -49/5 binary64) |
H |
#s(literal 1 binary64) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) |
(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0703125 | (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) | |
| accuracy | 0.15234375 | (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) | |
| accuracy | 0.1750725866307846 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) | |
| accuracy | 19.689675032450992 | (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) | |
| accuracy | 0.078125 | (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)))) | |
| accuracy | 0.23046875 | (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) | |
| accuracy | 0.4375 | (/.f64 #s(literal -49/5 binary64) v) | |
| accuracy | 41.22402825910672 | #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) | |
| accuracy | 0.10546875 | (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) | |
| accuracy | 8.746499339873537 | (/.f64 H (*.f64 v v)) | |
| accuracy | 39.85925864423188 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) | |
| accuracy | 41.12917403189731 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) | |
| accuracy | 0.078125 | (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) | |
| accuracy | 0.40625 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 19.689675032450992 | (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
| 77.0ms | 246× | 0 | valid |
| 14.0ms | 10× | 5 | exit |
Compiled 516 to 74 computations (85.7% saved)
ival-mult: 18.0ms (26.2% of total)const: 11.0ms (16% of total)ival-div: 11.0ms (16% of total)ival-atan: 10.0ms (14.5% of total)ival-sqrt: 6.0ms (8.7% of total)adjust: 5.0ms (7.3% of total)ival-add: 5.0ms (7.3% of total)ival-sub: 1.0ms (1.5% of total)ival-neg: 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 |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) |
(/.f64 H (*.f64 v v)) |
(fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(*.f64 #s(literal -98/5 binary64) H) |
(/.f64 #s(literal -49/5 binary64) v) |
(*.f64 (/.f64 #s(literal -49/5 binary64) v) H) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* 49/5 (/ H (pow v 2))) |
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) |
(/ H (pow v 2)) |
(* -49/5 (/ H v)) |
(/ (+ (* -49/5 H) (pow v 2)) v) |
(* (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) |
(/ -49/5 v) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(+ 1 (* -49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(* -1 (* v (- (* 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 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) |
(* H (- (/ v H) (* 49/5 (/ 1 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)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 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))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | H | @ | 0 | ((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* 49/5 (/ H (* v v))) 1) (/ H (* v v)) (+ (* (* (/ -49/5 v) H) 1) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v))) (/ (sqrt (+ (* -98/5 H) (* v v))) v) (sqrt (+ (* -98/5 H) (* v v))) (* -98/5 H) (/ -49/5 v) (* (/ -49/5 v) H) (+ (* -98/5 H) (* v v))) |
| 6.0ms | H | @ | inf | ((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* 49/5 (/ H (* v v))) 1) (/ H (* v v)) (+ (* (* (/ -49/5 v) H) 1) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v))) (/ (sqrt (+ (* -98/5 H) (* v v))) v) (sqrt (+ (* -98/5 H) (* v v))) (* -98/5 H) (/ -49/5 v) (* (/ -49/5 v) H) (+ (* -98/5 H) (* v v))) |
| 4.0ms | H | @ | -inf | ((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* 49/5 (/ H (* v v))) 1) (/ H (* v v)) (+ (* (* (/ -49/5 v) H) 1) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v))) (/ (sqrt (+ (* -98/5 H) (* v v))) v) (sqrt (+ (* -98/5 H) (* v v))) (* -98/5 H) (/ -49/5 v) (* (/ -49/5 v) H) (+ (* -98/5 H) (* v v))) |
| 3.0ms | v | @ | 0 | ((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* 49/5 (/ H (* v v))) 1) (/ H (* v v)) (+ (* (* (/ -49/5 v) H) 1) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v))) (/ (sqrt (+ (* -98/5 H) (* v v))) v) (sqrt (+ (* -98/5 H) (* v v))) (* -98/5 H) (/ -49/5 v) (* (/ -49/5 v) H) (+ (* -98/5 H) (* v v))) |
| 2.0ms | v | @ | inf | ((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* 49/5 (/ H (* v v))) 1) (/ H (* v v)) (+ (* (* (/ -49/5 v) H) 1) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* -98/5 H) (* v v))) v))) (/ (sqrt (+ (* -98/5 H) (* v v))) v) (sqrt (+ (* -98/5 H) (* v v))) (* -98/5 H) (/ -49/5 v) (* (/ -49/5 v) H) (+ (* -98/5 H) (* v v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 409 | 2032 |
| 1 | 1198 | 1980 |
| 2 | 4053 | 1949 |
| 0 | 8201 | 1829 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(* -98/5 H) |
(+ (* -98/5 H) (pow v 2)) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* 49/5 (/ H (pow v 2))) |
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) |
(/ H (pow v 2)) |
(* -49/5 (/ H v)) |
(/ (+ (* -49/5 H) (pow v 2)) v) |
(* (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) |
(/ -49/5 v) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(+ 1 (* -49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 v) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(* -1 (* v (- (* 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 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) |
(* H (- (/ v H) (* 49/5 (/ 1 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)))))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 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))))))) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
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(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(*.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (/.f64 (*.f64 #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)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H) |
(* H (- (/ (pow v 2) H) 98/5)) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) |
(fma.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 H v) #s(literal 1 binary64)) |
(* H (- (/ v H) (* 49/5 (/ 1 v)))) |
(*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64)) (pow.f64 v #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 H))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(*.f64 (neg.f64 H) (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(*.f64 (neg.f64 H) (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))) |
(fma.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 H v) #s(literal 1 binary64)) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))) |
(*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 H)) (neg.f64 v)) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))) |
(*.f64 (neg.f64 H) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))) |
(*.f64 (neg.f64 H) (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))) |
(*.f64 (neg.f64 H) (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 232 |
| 0 | 62 | 217 |
| 1 | 200 | 217 |
| 2 | 1136 | 214 |
| 0 | 8733 | 213 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) |
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) |
(/.f64 H (*.f64 v v)) |
(fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(*.f64 #s(literal -98/5 binary64) H) |
(/.f64 #s(literal -49/5 binary64) v) |
(*.f64 (/.f64 #s(literal -49/5 binary64) v) H) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
| Outputs |
|---|
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) v) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 v (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) (/.f64 v (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) (*.f64 (neg.f64 v) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) (neg.f64 v)) |
(*.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v) |
(*.f64 (neg.f64 v) (*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 v) (neg.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) |
(*.f64 v (*.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 v (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) v))) #s(literal -1 binary64)) |
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(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 98/5 binary64) H) (*.f64 v v)) |
(fma.f64 #s(literal -1 binary64) (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) |
(fma.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 1 binary64) (*.f64 v v)) |
(fma.f64 #s(literal 98/5 binary64) (neg.f64 H) (*.f64 v v)) |
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) |
(fma.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64) (*.f64 v v)) |
(fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) |
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) |
(fma.f64 #s(literal -98/5 binary64) (neg.f64 H) (*.f64 v v)) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)) |
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) |
(-.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 #s(literal 98/5 binary64) H)) |
(-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (/.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) |
(-.f64 (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (neg.f64 v) v (*.f64 H #s(literal -98/5 binary64))))) |
(-.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 v v))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 v) v (*.f64 H #s(literal -98/5 binary64)))) |
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)) |
(-.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) |
(+.f64 (-.f64 (*.f64 v v) #s(literal 0 binary64)) (*.f64 #s(literal 98/5 binary64) H)) |
(+.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) |
(+.f64 (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (neg.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (neg.f64 v) v (*.f64 H #s(literal -98/5 binary64)))))) |
(+.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))) |
(+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)) |
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) |
(+.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 v v)) |
(+.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) |
Compiled 13 950 to 2 515 computations (82% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 513 | 2 | 515 |
| Fresh | 0 | 9 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 514 | 15 | 529 |
| Status | Accuracy | Program |
|---|---|---|
| 63.5% | (atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) | |
| 65.8% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))))) | |
| ▶ | 56.3% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))))) |
| ✓ | 66.9% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| ▶ | 39.9% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| 37.6% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) | |
| ▶ | 36.9% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
| ✓ | 66.8% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
| 66.9% | (atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v)) | |
| 66.9% | (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 v))) | |
| ✓ | 34.8% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
| 34.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) | |
| ▶ | 34.6% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 33.9% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| ▶ | 66.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
Compiled 505 to 362 computations (28.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)))))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)) | |
| cost-diff | 1344 | (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))) | |
| cost-diff | 0 | (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) | |
| cost-diff | 0 | #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) | |
| cost-diff | 0 | (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) | |
| cost-diff | 0 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) | |
| cost-diff | 0 | (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) | |
| cost-diff | 0 | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 329 |
| 0 | 71 | 295 |
| 1 | 100 | 289 |
| 2 | 170 | 277 |
| 3 | 309 | 277 |
| 4 | 551 | 277 |
| 5 | 1155 | 277 |
| 6 | 2878 | 277 |
| 7 | 5522 | 277 |
| 8 | 7253 | 277 |
| 9 | 7857 | 277 |
| 0 | 8049 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
v |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) |
(neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) |
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) |
(/.f64 H v) |
H |
#s(literal -49/5 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)))))) |
v |
(sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))) |
(fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)))) |
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))) |
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) |
#s(literal -9604/25 binary64) |
(*.f64 H H) |
H |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
#s(literal 0 binary64) |
(*.f64 #s(literal 98/5 binary64) H) |
#s(literal 98/5 binary64) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
#s(literal -98/5 binary64) |
H |
(*.f64 v v) |
v |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
v |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))) |
v |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) |
(neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) |
(neg.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)) |
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v) |
(/.f64 H v) |
H |
#s(literal -49/5 binary64) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)))))) |
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
v |
(sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) |
(*.f64 (*.f64 H H) #s(literal -9604/25 binary64)) |
#s(literal -9604/25 binary64) |
(*.f64 H H) |
H |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
(*.f64 H #s(literal 98/5 binary64)) |
#s(literal 0 binary64) |
(*.f64 #s(literal 98/5 binary64) H) |
(*.f64 H #s(literal 98/5 binary64)) |
#s(literal 98/5 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.29259997422264733 | (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) | |
| accuracy | 0.40625 | (*.f64 #s(literal 98/5 binary64) H) | |
| accuracy | 19.689675032450992 | (sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))) | |
| accuracy | 26.556686350548556 | (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))) | |
| accuracy | 0.0078125 | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) | |
| accuracy | 0.078125 | (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) | |
| accuracy | 0.13671875 | (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) | |
| accuracy | 41.22402825910672 | #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) | |
| accuracy | 0.078125 | (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) | |
| accuracy | 0.40625 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 19.689675032450992 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| accuracy | 39.54208658695836 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) | |
| accuracy | 39.659668479121876 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) | |
| accuracy | 0.109375 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) | |
| accuracy | 0.15234375 | (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) | |
| accuracy | 1.0925983796921237 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) | |
| accuracy | 18.49789851003952 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
| 141.0ms | 246× | 0 | valid |
| 16.0ms | 10× | 5 | exit |
Compiled 654 to 84 computations (87.2% saved)
const: 51.0ms (37.5% of total)ival-mult: 33.0ms (24.2% of total)ival-div: 27.0ms (19.8% of total)ival-atan: 8.0ms (5.9% of total)ival-sqrt: 6.0ms (4.4% of total)ival-add: 5.0ms (3.7% of total)adjust: 3.0ms (2.2% of total)ival-sub: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) |
(neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) |
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(*.f64 #s(literal -98/5 binary64) H) |
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) |
(sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))) |
(*.f64 #s(literal 98/5 binary64) H) |
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
(* 49/5 (/ H v)) |
(/ (- (* -1 (pow v 2)) (* -49/5 H)) v) |
(/ -5/98 H) |
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(+ (* -98/5 H) (pow v 2)) |
(* -49/5 (/ H v)) |
(/ (+ (* -49/5 H) (pow v 2)) v) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(/ 1 v) |
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* -1 v) |
(* v (- (* 49/5 (/ H (pow v 2))) 1)) |
(/ 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 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(/ -1 v) |
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v)) |
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(- (* 49/5 (/ H v)) v) |
(* 98/5 H) |
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))) |
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(* -9604/25 (pow H 2)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))) |
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H) |
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H) |
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H) |
(* H (- (/ v H) (* 49/5 (/ 1 v)))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (- (/ v H) (* 49/5 (/ 1 v))))) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | v | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (neg (+ (* (/ H v) -49/5) v)) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))) (+ 0 (* 98/5 H)) (atan (/ v (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))))))) (/ v (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H)))))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* -98/5 H) (+ (* (/ H v) -49/5) v) (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))))) (* 98/5 H) (* -9604/25 (* H H))) |
| 3.0ms | H | @ | -inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (neg (+ (* (/ H v) -49/5) v)) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))) (+ 0 (* 98/5 H)) (atan (/ v (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))))))) (/ v (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H)))))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* -98/5 H) (+ (* (/ H v) -49/5) v) (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))))) (* 98/5 H) (* -9604/25 (* H H))) |
| 3.0ms | H | @ | inf | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (neg (+ (* (/ H v) -49/5) v)) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))) (+ 0 (* 98/5 H)) (atan (/ v (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))))))) (/ v (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H)))))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* -98/5 H) (+ (* (/ H v) -49/5) v) (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))))) (* 98/5 H) (* -9604/25 (* H H))) |
| 2.0ms | v | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (neg (+ (* (/ H v) -49/5) v)) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))) (+ 0 (* 98/5 H)) (atan (/ v (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))))))) (/ v (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H)))))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* -98/5 H) (+ (* (/ H v) -49/5) v) (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))))) (* 98/5 H) (* -9604/25 (* H H))) |
| 2.0ms | H | @ | 0 | ((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (neg (+ (* (/ H v) -49/5) v)) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))) (+ 0 (* 98/5 H)) (atan (/ v (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))))))) (/ v (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H)))))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* -98/5 H) (+ (* (/ H v) -49/5) v) (sqrt (+ (* v v) (/ (* -9604/25 (* H H)) (+ 0 (* 98/5 H))))) (* 98/5 H) (* -9604/25 (* H H))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 489 | 2489 |
| 1 | 1428 | 2389 |
| 2 | 4615 | 2361 |
| 0 | 9022 | 2212 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt (/ 1 H)) (sqrt -5/98)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))) |
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
(* 49/5 (/ H v)) |
(/ (- (* -1 (pow v 2)) (* -49/5 H)) v) |
(/ -5/98 H) |
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))) |
(+ (* -98/5 H) (pow v 2)) |
(* -49/5 (/ H v)) |
(/ (+ (* -49/5 H) (pow v 2)) v) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(/ 1 v) |
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(* -1 v) |
(* v (- (* 49/5 (/ H (pow v 2))) 1)) |
(/ 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 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(/ -1 v) |
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1))) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v)) |
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(- (* 49/5 (/ H v)) v) |
(* 98/5 H) |
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))) |
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) |
(* -9604/25 (pow H 2)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))) |
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H) |
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H) |
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H) |
(* H (- (/ v H) (* 49/5 (/ 1 v)))) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(* -1 (* H (- (/ v H) (* 49/5 (/ 1 v))))) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
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(*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 v H)) H) |
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) |
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) |
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 #s(literal -25/9604 binary64) (*.f64 v v) (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H)) |
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 25/9604 binary64) v) v (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) H))) H) #s(literal -5/98 binary64)) H) |
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))) |
(*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 290 |
| 0 | 71 | 246 |
| 1 | 213 | 239 |
| 2 | 1525 | 239 |
| 0 | 9378 | 239 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) |
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) |
(neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) |
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(*.f64 #s(literal -98/5 binary64) H) |
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) |
(sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))) |
(*.f64 #s(literal 98/5 binary64) H) |
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) |
| Outputs |
|---|
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v) |
(*.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1 binary64)) |
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) |
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))))) |
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1/2 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) |
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)) v) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(*.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(*.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal -1 binary64)) |
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) #s(literal -1 binary64))) |
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(fma.f64 #s(literal 92236816/625 binary64) (pow.f64 (*.f64 (*.f64 H #s(literal 5/98 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 H H)) #s(literal -9604/25 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64))) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -9604/25 binary64) H) (neg.f64 H) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -9604/25 binary64) H) H #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 5/98 binary64) H) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 H H) #s(literal -9604/25 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -9604/25 binary64) (*.f64 (*.f64 (*.f64 H #s(literal 5/98 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -9604/25 binary64) (neg.f64 (*.f64 H H)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) #s(literal 0 binary64)) |
(fma.f64 #s(literal -98/5 binary64) (*.f64 H (*.f64 #s(literal -98/5 binary64) H)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 0 binary64)) |
(fma.f64 H (*.f64 #s(literal 98/5 binary64) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 0 binary64)) |
(fma.f64 H (*.f64 #s(literal -98/5 binary64) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 0 binary64)) |
(fma.f64 H (*.f64 #s(literal -9604/25 binary64) H) #s(literal 0 binary64)) |
(fma.f64 #s(literal 98/5 binary64) (*.f64 H (*.f64 #s(literal -98/5 binary64) H)) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64))) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 5/98 binary64) H)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) |
(-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64)))) |
(-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 5/98 binary64) H))) |
(-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -98/5 binary64) H)) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) |
Compiled 24 748 to 4 579 computations (81.5% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 795 | 7 | 802 |
| Fresh | 4 | 2 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 801 | 16 | 817 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.9% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))))) |
| 66.9% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 (*.f64 (*.f64 #s(literal -9604/25 binary64) H) #s(literal 5/98 binary64)) #s(literal 1 binary64)))))) | |
| ✓ | 66.9% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| ✓ | 39.9% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| 37.6% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) | |
| ✓ | 36.9% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
| ▶ | 39.7% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
| ▶ | 39.8% | (atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))) |
| ✓ | 34.8% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
| ▶ | 34.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
| ✓ | 34.6% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 33.9% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| 66.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) | |
| ✓ | 66.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
| 39.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) | |
| ▶ | 34.2% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))))) |
Compiled 526 to 413 computations (21.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) | |
| cost-diff | 0 | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) | |
| cost-diff | 0 | (neg.f64 v) | |
| cost-diff | 0 | (atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))) | |
| cost-diff | 448 | (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) | |
| cost-diff | 0 | #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))))) | |
| cost-diff | 384 | (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 H (*.f64 v v)) | |
| cost-diff | 0 | (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))) | |
| cost-diff | 0 | (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))))) | |
| cost-diff | 0 | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))))) | |
| cost-diff | 1088 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 364 |
| 0 | 74 | 340 |
| 1 | 108 | 336 |
| 2 | 142 | 328 |
| 3 | 186 | 328 |
| 4 | 381 | 328 |
| 5 | 785 | 328 |
| 6 | 1355 | 328 |
| 7 | 2085 | 328 |
| 8 | 2753 | 328 |
| 9 | 2895 | 328 |
| 10 | 3025 | 328 |
| 11 | 3175 | 328 |
| 12 | 3321 | 328 |
| 13 | 3459 | 328 |
| 14 | 3459 | 328 |
| 0 | 3459 | 328 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))))) |
v |
(sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))) |
(fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)) |
#s(literal -1 binary64) |
(/.f64 #s(literal 5/98 binary64) H) |
#s(literal 5/98 binary64) |
H |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
#s(literal -49/5 binary64) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))))) |
(atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)) |
(/.f64 #s(literal -49/5 binary64) v) |
#s(literal -49/5 binary64) |
v |
(/.f64 H v) |
H |
#s(literal -1 binary64) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(neg.f64 v) |
v |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
#s(literal -1 binary64) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
v |
| Outputs |
|---|
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))))) |
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
v |
(sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))) |
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) |
(fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))) |
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -1 binary64) |
(/.f64 #s(literal 5/98 binary64) H) |
#s(literal 5/98 binary64) |
H |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) |
#s(literal -49/5 binary64) |
(/.f64 H (*.f64 v v)) |
H |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))) |
(atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal -49/5 binary64) v) |
#s(literal -49/5 binary64) |
v |
(/.f64 H v) |
H |
#s(literal -1 binary64) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(neg.f64 v) |
v |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
#s(literal -1 binary64) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) |
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
#s(literal -98/5 binary64) |
H |
v |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1750725866307846 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) | |
| accuracy | 0.40625 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 19.689675032450992 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| accuracy | 39.54208658695836 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| accuracy | 0.109375 | (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) | |
| accuracy | 0.40625 | (*.f64 #s(literal -98/5 binary64) H) | |
| accuracy | 19.689675032450992 | (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) | |
| accuracy | 39.54208658695836 | #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)))) | |
| accuracy | 0.078125 | (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)) | |
| accuracy | 0.4375 | (/.f64 #s(literal -49/5 binary64) v) | |
| accuracy | 41.271714530683894 | #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))) | |
| accuracy | 0.0078125 | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) | |
| accuracy | 0.10546875 | (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) | |
| accuracy | 8.746499339873537 | (/.f64 H (*.f64 v v)) | |
| accuracy | 41.271714530683894 | #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) | |
| accuracy | 0.078125 | (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))))) | |
| accuracy | 0.140625 | (/.f64 #s(literal 5/98 binary64) H) | |
| accuracy | 0.28515625 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)) | |
| accuracy | 19.689675032450992 | (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))) |
| 143.0ms | 246× | 0 | valid |
| 40.0ms | 10× | 5 | exit |
Compiled 689 to 94 computations (86.4% saved)
ival-mult: 44.0ms (28.5% of total)const: 34.0ms (22% of total)ival-add: 26.0ms (16.8% of total)ival-div: 20.0ms (12.9% of total)ival-atan: 18.0ms (11.7% of total)ival-sqrt: 6.0ms (3.9% of total)adjust: 3.0ms (1.9% of total)ival-sub: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))))) |
(sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
(/.f64 H (*.f64 v v)) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))))) |
(atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))) |
(neg.f64 v) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
(/.f64 #s(literal 5/98 binary64) H) |
(/.f64 #s(literal -49/5 binary64) v) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* -49/5 (/ H (pow v 2))) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/ H (pow v 2)) |
(* -1 v) |
(* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* (pow v 2) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* 1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98))))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* (pow v 2) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* 1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* 1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v) |
(/ -49/5 v) |
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(/ -1 v) |
(/ (- (* -49/5 (/ H (pow v 2))) 1) v) |
(/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v) |
(/ (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) v) |
(+ 1 (* -49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(/ 1 v) |
(* -1 (/ (- (* -49/5 (/ H (pow v 2))) 1) v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) v)) |
(- (* 49/5 (/ H (pow v 2))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(- (* -49/5 (/ H (pow v 3))) (/ 1 v)) |
(- (* H (- (* -7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(- (* H (- (* H (- (* -117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(/ 5/98 H) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* 1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98))))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98)))) (* -125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98))))) (pow H 3))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | v | @ | 0 | ((/ -1 (/ 5/98 H)) (atan (/ v (sqrt (+ (* v v) (/ -1 (/ 5/98 H)))))) (/ v (sqrt (+ (* v v) (/ -1 (/ 5/98 H))))) (sqrt (+ (* v v) (/ -1 (/ 5/98 H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (+ (* (/ -49/5 v) (/ H v)) -1) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 5/98 H) (/ -49/5 v) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 3.0ms | H | @ | -inf | ((/ -1 (/ 5/98 H)) (atan (/ v (sqrt (+ (* v v) (/ -1 (/ 5/98 H)))))) (/ v (sqrt (+ (* v v) (/ -1 (/ 5/98 H))))) (sqrt (+ (* v v) (/ -1 (/ 5/98 H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (+ (* (/ -49/5 v) (/ H v)) -1) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 5/98 H) (/ -49/5 v) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 3.0ms | H | @ | inf | ((/ -1 (/ 5/98 H)) (atan (/ v (sqrt (+ (* v v) (/ -1 (/ 5/98 H)))))) (/ v (sqrt (+ (* v v) (/ -1 (/ 5/98 H))))) (sqrt (+ (* v v) (/ -1 (/ 5/98 H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (+ (* (/ -49/5 v) (/ H v)) -1) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 5/98 H) (/ -49/5 v) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 2.0ms | v | @ | -inf | ((/ -1 (/ 5/98 H)) (atan (/ v (sqrt (+ (* v v) (/ -1 (/ 5/98 H)))))) (/ v (sqrt (+ (* v v) (/ -1 (/ 5/98 H))))) (sqrt (+ (* v v) (/ -1 (/ 5/98 H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (+ (* (/ -49/5 v) (/ H v)) -1) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 5/98 H) (/ -49/5 v) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 2.0ms | v | @ | inf | ((/ -1 (/ 5/98 H)) (atan (/ v (sqrt (+ (* v v) (/ -1 (/ 5/98 H)))))) (/ v (sqrt (+ (* v v) (/ -1 (/ 5/98 H))))) (sqrt (+ (* v v) (/ -1 (/ 5/98 H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (+ (* (/ -49/5 v) (/ H v)) -1) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))))) (neg v) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 5/98 H) (/ -49/5 v) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 474 | 2687 |
| 1 | 1399 | 2588 |
| 2 | 4740 | 2552 |
| 0 | 8135 | 2401 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(* (sqrt H) (sqrt -98/5)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(* -49/5 (/ H (pow v 2))) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/ H (pow v 2)) |
(* -1 v) |
(* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* (pow v 2) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* 1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98))))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* (pow v 2) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* 1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* 1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v) |
(/ -49/5 v) |
(* -98/5 H) |
(- (pow v 2) (* 98/5 H)) |
1 |
(+ 1 (* 49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
-1 |
(- (* -49/5 (/ H (pow v 2))) 1) |
(/ -1 v) |
(/ (- (* -49/5 (/ H (pow v 2))) 1) v) |
(/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v) |
(/ (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) v) |
(+ 1 (* -49/5 (/ H (pow v 2)))) |
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(pow v 2) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) |
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) |
(/ 1 v) |
(* -1 (/ (- (* -49/5 (/ H (pow v 2))) 1) v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) v)) |
(- (* 49/5 (/ H (pow v 2))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1) |
(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1) |
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ v (* -49/5 (/ H v))) |
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) |
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) |
(- (* -49/5 (/ H (pow v 3))) (/ 1 v)) |
(- (* H (- (* -7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(- (* H (- (* H (- (* -117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v)) |
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) |
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) |
(/ 5/98 H) |
(+ (* -98/5 H) (pow v 2)) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))) |
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* 1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98))))))) |
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))) |
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))) |
(* H (- (/ (pow v 2) H) 98/5)) |
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))) |
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98)))) (* -125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98))))) (pow H 3))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
| Outputs |
|---|
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* (sqrt (/ 1 H)) (* v (sqrt -5/98))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v) |
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) |
(*.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) v) |
(* (sqrt H) (sqrt -98/5)) |
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)) |
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) |
(fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) |
(fma.f64 (fma.f64 #s(literal 5/784 binary64) (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) |
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) |
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 v (/.f64 v (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 #s(literal 5/784 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))))) (fma.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))) |
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) |
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) |
(* -49/5 (/ H (pow v 2))) |
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) |
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) |
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) |
(/ H (pow v 2)) |
(/.f64 H (*.f64 v v)) |
(* -1 v) |
(neg.f64 v) |
(* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98))))) |
(fma.f64 #s(literal 25/19208 binary64) (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* (pow v 2) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* 1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98))))))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 H)) (*.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal 25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v))) |
(+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* (pow v 2) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* 1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* 1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 H))) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal 25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v))) |
(* (sqrt H) (/ (sqrt -98/5) v)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (sqrt.f64 H)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v) |
(/.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v) |
(/.f64 (fma.f64 (fma.f64 #s(literal 5/784 binary64) (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) v) |
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v) |
(/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 v (/.f64 v (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 #s(literal 5/784 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))))) (fma.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))) v) |
(/ -49/5 v) |
(/.f64 #s(literal -49/5 binary64) v) |
(* -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)) |
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 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) |
(fma.f64 (*.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) |
v |
(* v (+ 1 (* -49/5 (/ H (pow v 2))))) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) v) |
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) |
(*.f64 (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) v) |
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)))) v) |
-1 |
#s(literal -1 binary64) |
(- (* -49/5 (/ H (pow v 2))) 1) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) |
(/ -1 v) |
(/.f64 #s(literal -1 binary64) v) |
(/ (- (* -49/5 (/ H (pow v 2))) 1) v) |
(/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) v) |
(/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v) |
(/.f64 (fma.f64 (*.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) v) |
(/ (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) v) |
(/.f64 (fma.f64 (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) v) |
(+ 1 (* -49/5 (/ H (pow v 2)))) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))) |
(fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) |
(+ 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 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)))) |
(pow v 2) |
(*.f64 v v) |
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v) |
(- (+ (* -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 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64)))) #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) |
(fma.f64 (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) |
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) |
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) (neg.f64 v)) |
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) |
(*.f64 (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #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)))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #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) |
(/.f64 #s(literal 1 binary64) v) |
(* -1 (/ (- (* -49/5 (/ H (pow v 2))) 1) v)) |
(/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) (neg.f64 v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v)) |
(/.f64 (fma.f64 (*.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) (neg.f64 v)) |
(* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) v)) |
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(*.f64 (neg.f64 H) (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))) |
(*.f64 (neg.f64 H) (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) |
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) |
(* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98))))) |
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 v v))))) |
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98)))) (* -125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98))))) (pow H 3))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))) |
(-.f64 (*.f64 (*.f64 #s(literal 25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))))) |
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 H)) (neg.f64 v)) |
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v) (*.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))))) |
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))) |
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v) (*.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))))))) |
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) |
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 304 |
| 0 | 74 | 278 |
| 1 | 247 | 266 |
| 2 | 1371 | 266 |
| 0 | 9176 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))))) |
(/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))))) |
(sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) |
(/.f64 H (*.f64 v v)) |
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))))) |
(atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)))) |
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))) |
(neg.f64 v) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
(/.f64 #s(literal 5/98 binary64) H) |
(/.f64 #s(literal -49/5 binary64) v) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 #s(literal -98/5 binary64) H) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 H) #s(literal 98/5 binary64)) |
(*.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64)) |
(*.f64 #s(literal -98/5 binary64) (pow.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal -1 binary64)) |
(*.f64 #s(literal 98/5 binary64) (pow.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 98/5 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal -1 binary64))) |
(*.f64 #s(literal 98/5 binary64) (neg.f64 H)) |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))) |
(/.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))) |
(/.f64 (neg.f64 H) #s(literal 5/98 binary64)) |
(/.f64 #s(literal -98/5 binary64) (pow.f64 H #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal 98/5 binary64) (/.f64 #s(literal -1 binary64) H)) |
(/.f64 H #s(literal -5/98 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)) |
(neg.f64 (*.f64 #s(literal 98/5 binary64) H)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (*.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) (/.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v) |
(*.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) |
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (neg.f64 v))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))) |
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -2 binary64)))) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/2 binary64))) |
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(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(neg.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 v))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 v)) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 v))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 v))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal 5/98 binary64)) |
(*.f64 #s(literal -5/98 binary64) (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -5/98 binary64) (/.f64 #s(literal -1 binary64) H)) |
(*.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/98 binary64) H)) |
(*.f64 (/.f64 #s(literal 5/98 binary64) H) #s(literal 1 binary64)) |
(*.f64 #s(literal 5/98 binary64) (neg.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 5/98 binary64) (pow.f64 H #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -5/98 binary64) H)) |
(pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 5/98 binary64) H) #s(literal 1 binary64)) |
(/.f64 #s(literal -5/98 binary64) (neg.f64 H)) |
(/.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
(/.f64 (/.f64 #s(literal 5/98 binary64) H) #s(literal 1 binary64)) |
(/.f64 #s(literal 5/98 binary64) H) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
(neg.f64 (/.f64 #s(literal -5/98 binary64) H)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -5/98 binary64) H)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 98/5 binary64) H)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 v #s(literal -5/49 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 v #s(literal -5/49 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal -49/5 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) v)) |
(*.f64 (/.f64 #s(literal -49/5 binary64) v) #s(literal 1 binary64)) |
(*.f64 #s(literal -49/5 binary64) (pow.f64 v #s(literal -1 binary64))) |
(*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal -1 binary64) v)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 49/5 binary64) v)) |
(pow.f64 (*.f64 v #s(literal -5/49 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 v #s(literal -5/49 binary64))) |
(/.f64 #s(literal -49/5 binary64) v) |
(/.f64 #s(literal 49/5 binary64) (neg.f64 v)) |
(/.f64 #s(literal -1 binary64) (*.f64 v #s(literal 5/49 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 v #s(literal -5/49 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 49/5 binary64) v))) |
(neg.f64 (*.f64 (/.f64 #s(literal 49/5 binary64) v) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal 49/5 binary64) v)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 49/5 binary64) v)) |
(exp.f64 (*.f64 (log.f64 (*.f64 v #s(literal -5/49 binary64))) #s(literal -1 binary64))) |
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 H) #s(literal 98/5 binary64)) |
(*.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64)) |
(*.f64 #s(literal -98/5 binary64) (pow.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -98/5 binary64) H) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
(*.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal -1 binary64)) |
(*.f64 #s(literal 98/5 binary64) (pow.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 98/5 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal -1 binary64))) |
(*.f64 #s(literal 98/5 binary64) (neg.f64 H)) |
(*.f64 H #s(literal -98/5 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))) |
(/.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))) |
(/.f64 (neg.f64 H) #s(literal 5/98 binary64)) |
(/.f64 #s(literal -98/5 binary64) (pow.f64 H #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H)) |
(/.f64 #s(literal 98/5 binary64) (/.f64 #s(literal -1 binary64) H)) |
(/.f64 H #s(literal -5/98 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)) |
(neg.f64 (*.f64 #s(literal 98/5 binary64) H)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -98/5 binary64) H)) |
Compiled 13 559 to 2 232 computations (83.5% saved)
16 alts after pruning (6 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 489 | 3 | 492 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 492 | 16 | 508 |
| Status | Accuracy | Program |
|---|---|---|
| 66.7% | (atan.f64 (/.f64 v (hypot.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64)) v))) | |
| 66.9% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))))) | |
| ✓ | 66.9% | (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
| ✓ | 39.9% | (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
| 37.6% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) | |
| ✓ | 36.9% | (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
| ✓ | 39.7% | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
| ✓ | 39.8% | (atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))) |
| 34.2% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v #s(literal -5/49 binary64)) v)) #s(literal -1 binary64)))) | |
| ✓ | 34.8% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
| ✓ | 34.1% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
| ✓ | 34.6% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
| ✓ | 33.9% | (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| 66.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) | |
| ✓ | 66.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
| 39.9% | #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
Compiled 828 to 411 computations (50.4% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v #s(literal -5/49 binary64)) v)) #s(literal -1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))))) |
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 v))) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 (*.f64 (*.f64 #s(literal -9604/25 binary64) H) #s(literal 5/98 binary64)) #s(literal 1 binary64)))))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))))))) |
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))))) |
(atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v)) |
(atan.f64 (/.f64 v (hypot.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64)) v))) |
| Outputs |
|---|
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
5 calls:
| 25.0ms | H |
| 10.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 8.0ms | v |
| 7.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 7.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | v |
| 88.3% | 3 | H |
| 83.9% | 3 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 83.9% | 3 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 88.3% | 3 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
Compiled 32 to 31 computations (3.1% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v #s(literal -5/49 binary64)) v)) #s(literal -1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))))) |
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 v))) |
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 (*.f64 (*.f64 #s(literal -9604/25 binary64) H) #s(literal 5/98 binary64)) #s(literal 1 binary64)))))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))) |
| Outputs |
|---|
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) 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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
1 calls:
| 7.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | v |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v #s(literal -5/49 binary64)) v)) #s(literal -1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 (*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))) |
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))))) |
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 v))) |
| Outputs |
|---|
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
1 calls:
| 6.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | v |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v #s(literal -5/49 binary64)) v)) #s(literal -1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
| Outputs |
|---|
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) |
1 calls:
| 32.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 3 | v |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v #s(literal -5/49 binary64)) v)) #s(literal -1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) |
1 calls:
| 3.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 3 | v |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v #s(literal -5/49 binary64)) v)) #s(literal -1 binary64)))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 #s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
1 calls:
| 3.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 3 | v |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) |
5 calls:
| 7.0ms | H |
| 2.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 2.0ms | v |
| 2.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 2.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.9% | 2 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 50.9% | 2 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 41.4% | 2 | H |
| 41.4% | 2 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 66.7% | 2 | v |
Compiled 32 to 31 computations (3.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| Outputs |
|---|
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
5 calls:
| 1.0ms | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 1.0ms | H |
| 1.0ms | v |
| 1.0ms | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 1.0ms | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.9% | 1 | H |
| 33.9% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) |
| 33.9% | 1 | (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) |
| 33.9% | 1 | (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) |
| 33.9% | 1 | v |
Compiled 32 to 31 computations (3.1% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 1.7727830340467834e+111 | 7.306079864286374e+112 |
| 2.0ms | -3.2106474008376544e+154 | -3.919497153714717e+140 |
| 3.0ms | 32× | 0 | valid |
Compiled 76 to 69 computations (9.2% saved)
ival-mult: 1.0ms (47.7% of total)ival-div: 0.0ms (0% of total)ival-atan: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)const: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7727830340467834e+111 | 7.306079864286374e+112 |
| 0.0ms | -3.2106474008376544e+154 | -3.919497153714717e+140 |
Compiled 78 to 71 computations (9% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7727830340467834e+111 | 7.306079864286374e+112 |
| 0.0ms | -3.2106474008376544e+154 | -3.919497153714717e+140 |
Compiled 72 to 65 computations (9.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 2.1612902836004884e-91 | 4.904228853328691e-85 |
| 18.0ms | -6.737902296304269e-69 | -1.58541667134567e-70 |
| 22.0ms | 256× | 0 | valid |
| 5.0ms | 60× | 0 | invalid |
Compiled 839 to 663 computations (21% saved)
ival-mult: 6.0ms (31.8% of total)const: 4.0ms (21.2% of total)ival-div: 2.0ms (10.6% of total)ival-atan: 2.0ms (10.6% of total)ival-sqrt: 2.0ms (10.6% of total)ival-sub: 1.0ms (5.3% 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 |
|---|---|---|
| 1.0ms | 2.1612902836004884e-91 | 4.904228853328691e-85 |
| 1.0ms | -6.737902296304269e-69 | -1.58541667134567e-70 |
Compiled 797 to 642 computations (19.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.1612902836004884e-91 | 4.904228853328691e-85 |
| 1.0ms | -6.737902296304269e-69 | -1.58541667134567e-70 |
Compiled 752 to 624 computations (17% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 62.0ms | -3.417401648972189e-298 | -6.3851807285740015e-304 |
| 30.0ms | 144× | 0 | valid |
| 23.0ms | 93× | 0 | invalid |
Compiled 286 to 268 computations (6.3% saved)
ival-sub: 17.0ms (59% of total)ival-mult: 5.0ms (17.4% of total)const: 3.0ms (10.4% of total)ival-sqrt: 2.0ms (6.9% of total)ival-div: 1.0ms (3.5% of total)ival-atan: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 403 |
| 1 | 96 | 403 |
| 2 | 114 | 403 |
| 3 | 125 | 403 |
| 4 | 133 | 403 |
| 5 | 136 | 403 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) (if (<=.f64 v #s(literal 1999999999999999913639545283283631516810208954516756563590792431245765215242222976307885861894864644089497780224 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) (if (<=.f64 v #s(literal 1999999999999999913639545283283631516810208954516756563590792431245765215242222976307885861894864644089497780224 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) (if (<=.f64 v #s(literal 1999999999999999913639545283283631516810208954516756563590792431245765215242222976307885861894864644089497780224 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -8236916103037091/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) (if (<=.f64 v #s(literal 2012270666800371/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))))) |
(if (<=.f64 v #s(literal -8236916103037091/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2012270666800371/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))))) |
(if (<=.f64 v #s(literal -8236916103037091/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2012270666800371/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -8029874551376459/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
| Outputs |
|---|
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) (if (<=.f64 v #s(literal 1999999999999999913639545283283631516810208954516756563590792431245765215242222976307885861894864644089497780224 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H)))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) (if (<=.f64 v #s(literal 1999999999999999913639545283283631516810208954516756563590792431245765215242222976307885861894864644089497780224 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) (if (<=.f64 v #s(literal 1999999999999999913639545283283631516810208954516756563590792431245765215242222976307885861894864644089497780224 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 49/5 binary64) #s(literal 2 binary64)) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) (if (<=.f64 v #s(literal 1999999999999999913639545283283631516810208954516756563590792431245765215242222976307885861894864644089497780224 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -8236916103037091/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))) (if (<=.f64 v #s(literal 2012270666800371/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))))) |
(if (<=.f64 v #s(literal -8236916103037091/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2012270666800371/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))))) |
(if (<=.f64 v #s(literal -8236916103037091/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2012270666800371/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))) |
(if (<=.f64 v #s(literal -8029874551376459/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))) |
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 489 | 2489 |
| 1 | 1428 | 2389 |
| 2 | 4615 | 2361 |
| 0 | 9022 | 2212 |
| 0 | 11 | 40 |
| 0 | 19 | 40 |
| 1 | 50 | 40 |
| 2 | 275 | 40 |
| 3 | 2260 | 40 |
| 0 | 8978 | 36 |
| 0 | 323 | 1366 |
| 1 | 933 | 1320 |
| 2 | 3156 | 1297 |
| 3 | 7233 | 1284 |
| 0 | 8250 | 1205 |
| 0 | 46 | 290 |
| 0 | 71 | 246 |
| 1 | 213 | 239 |
| 2 | 1525 | 239 |
| 0 | 9378 | 239 |
| 0 | 39 | 232 |
| 0 | 62 | 217 |
| 1 | 200 | 217 |
| 2 | 1136 | 214 |
| 0 | 8733 | 213 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 659 to 293 computations (55.5% saved)
Compiled 904 to 192 computations (78.8% saved)
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