
Time bar (total: 5.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 12.8% | 87.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 12.8% | 87.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 12.8% | 87.2% | 0% | 0% | 0% | 2 |
| 50% | 6.4% | 6.4% | 87.2% | 0% | 0% | 0% | 3 |
| 57.1% | 6.4% | 4.8% | 87.2% | 0% | 1.6% | 0% | 4 |
| 69.2% | 7.2% | 3.2% | 87.2% | 0% | 2.4% | 0% | 5 |
| 75% | 7.2% | 2.4% | 87.2% | 0% | 3.2% | 0% | 6 |
| 82.6% | 7.6% | 1.6% | 87.2% | 0% | 3.6% | 0% | 7 |
| 86.4% | 7.6% | 1.2% | 87.2% | 0% | 4% | 0% | 8 |
| 90.7% | 7.8% | 0.8% | 87.2% | 0% | 4.2% | 0% | 9 |
| 92.6% | 7.8% | 0.6% | 87.2% | 0% | 4.4% | 0% | 10 |
| 95% | 7.9% | 0.4% | 87.2% | 0% | 4.5% | 0% | 11 |
| 96.3% | 8% | 0.3% | 87.2% | 0% | 4.5% | 0% | 12 |
Compiled 24 to 18 computations (25% saved)
| 605.0ms | 2 735× | 1 | valid |
| 481.0ms | 4 880× | 0 | valid |
| 138.0ms | 641× | 2 | valid |
| 11.0ms | 164× | 0 | invalid |
ival-sub: 246.0ms (28.8% of total)adjust: 181.0ms (21.2% of total)ival-mult: 168.0ms (19.7% of total)ival-<=: 129.0ms (15.1% of total)ival-sqrt: 86.0ms (10.1% of total)ival-and: 24.0ms (2.8% of total)exact: 17.0ms (2% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 108 | 0 | - | 1 | (2.165092823241954e-70 -1.1738507433776463e-141) | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 x x) eps)) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x x) eps) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) | cancellation | 107 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 107 | 1 |
| - | 0 | 148 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 107 | 1 | 0 |
| - | 0 | 0 | 148 |
| number | freq |
|---|---|
| 0 | 149 |
| 1 | 107 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 19.0ms | 170× | 1 | valid |
| 15.0ms | 308× | 0 | valid |
| 8.0ms | 34× | 2 | valid |
Compiled 60 to 22 computations (63.3% saved)
ival-sub: 7.0ms (29.4% of total)adjust: 6.0ms (25.2% of total)ival-sqrt: 5.0ms (21% of total)ival-mult: 5.0ms (21% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 46 |
| 1 | 32 | 46 |
| 2 | 61 | 46 |
| 3 | 88 | 46 |
| 4 | 112 | 46 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 14 | 8 |
| 2 | 27 | 8 |
| 3 | 46 | 8 |
| 4 | 58 | 8 |
| 0 | 58 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.9% | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
x |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(-.f64 (*.f64 x x) eps) |
(*.f64 x x) |
eps |
| Outputs |
|---|
(* -1 (* (sqrt eps) (sqrt -1))) |
(- x (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
x |
(* (sqrt eps) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5))))))))) |
(* -1 eps) |
(- (pow x 2) eps) |
(pow x 2) |
(* 1/2 (/ eps x)) |
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x) |
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) |
(* x (+ 1 (* -1/2 (/ eps (pow x 2))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) |
(* 2 x) |
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) |
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) |
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))) |
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(+ x (* -1/2 (/ eps x))) |
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(+ (* -1 eps) (pow x 2)) |
eps |
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* eps (- (/ (pow x 2) eps) 1)) |
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps) |
| 2.0ms | x | @ | -inf | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps) |
| 2.0ms | eps | @ | inf | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps) |
| 1.0ms | eps | @ | -inf | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps) |
| 1.0ms | x | @ | 0 | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* x x) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 257 | 1068 |
| 1 | 807 | 1054 |
| 2 | 3363 | 1039 |
| 0 | 8415 | 980 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (sqrt eps) (sqrt -1))) |
(- x (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
x |
(* (sqrt eps) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5))))))))) |
(* -1 eps) |
(- (pow x 2) eps) |
(pow x 2) |
(* 1/2 (/ eps x)) |
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x) |
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) |
(* x (+ 1 (* -1/2 (/ eps (pow x 2))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) |
(* 2 x) |
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) |
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) |
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))) |
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(+ x (* -1/2 (/ eps x))) |
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(+ (* -1 eps) (pow x 2)) |
eps |
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* eps (- (/ (pow x 2) eps) 1)) |
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) |
| Outputs |
|---|
(* -1 (* (sqrt eps) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))) |
(- x (* (sqrt eps) (sqrt -1))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) x) |
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) x)) |
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -1/8 binary64))) (*.f64 x x) x)) |
x |
(* (sqrt eps) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)) |
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) (*.f64 x x) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(* -1 eps) |
(neg.f64 eps) |
(- (pow x 2) eps) |
(-.f64 (*.f64 x x) eps) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (/ eps x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps) |
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x) |
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) eps (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) eps)))) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) |
(/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (*.f64 (/.f64 eps x) #s(literal -1/8 binary64)) (/.f64 eps x) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))) x) |
(* x (+ 1 (* -1/2 (/ eps (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(*.f64 (fma.f64 (*.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 1 binary64))) x) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 eps x) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) eps) eps) (pow.f64 x #s(literal 4 binary64))))) x x) |
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) x)) x) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal 1/2 binary64) #s(literal -2 binary64))) |
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) eps) eps) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 2 binary64)))) |
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 2 binary64))))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 eps x) x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 eps x) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) eps) eps) (pow.f64 x #s(literal 4 binary64))))) x x)) |
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps) |
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps) |
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps) |
(+ x (* -1/2 (/ eps x))) |
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x) |
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 eps x) #s(literal -1/2 binary64)) x) eps x) |
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64))) eps (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal -1/2 binary64) x)) eps x) |
(+ (* -1 eps) (pow x 2)) |
(-.f64 (*.f64 x x) eps) |
eps |
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps) |
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps) |
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) eps) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) eps) |
(* eps (- (/ (pow x 2) eps) 1)) |
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(fma.f64 (/.f64 x eps) eps (*.f64 (*.f64 eps (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) |
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (neg.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) #s(literal -1/2 binary64) (neg.f64 x)) eps))) |
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (neg.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) eps) x) eps))) |
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (neg.f64 eps) (fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(*.f64 (neg.f64 eps) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))) |
(*.f64 (neg.f64 eps) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/16 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) |
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 24 |
| 0 | 10 | 24 |
| 1 | 42 | 24 |
| 0 | 320 | 24 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
x |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(-.f64 (*.f64 x x) eps) |
(*.f64 x x) |
eps |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))) |
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
x |
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64))) |
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(pow.f64 (*.f64 (-.f64 (*.f64 x x) eps) (-.f64 (*.f64 x x) eps)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps))) (neg.f64 (fma.f64 x x eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)) (fma.f64 x x eps)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) |
(sqrt.f64 (*.f64 (-.f64 (*.f64 x x) eps) (-.f64 (*.f64 x x) eps))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x eps)) (/.f64 (*.f64 eps eps) (fma.f64 x x eps))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (*.f64 x x) eps) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
eps |
Compiled 2 025 to 440 computations (78.3% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 14 | 90 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 76 | 15 | 91 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.5% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
| 62.6% | (/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) | |
| 48.5% | (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))) | |
| 62.6% | (-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) | |
| 62.4% | (-.f64 x (*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))) | |
| ✓ | 62.9% | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ▶ | 62.8% | (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)))) |
| 57.3% | (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) | |
| ▶ | 7.5% | (-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))) |
| ▶ | 3.6% | (-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
| 23.8% | #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (*.f64 (/.f64 eps x) #s(literal -1/8 binary64)) (/.f64 eps x) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))) x)) | |
| 22.8% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) | |
| 28.7% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) | |
| ▶ | 38.2% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) |
| 43.4% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) |
Compiled 670 to 382 computations (43% saved)
| Inputs |
|---|
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)))) |
x |
(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) |
#s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)) |
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps) |
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) |
(/.f64 x eps) |
eps |
#s(literal -1 binary64) |
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
#s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) |
(neg.f64 x) |
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))) |
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)) |
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x) |
(/.f64 eps x) |
#s(literal -1/2 binary64) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) |
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) |
(-.f64 (*.f64 x x) eps) |
(*.f64 x x) |
#s(literal 3/2 binary64) |
(fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
| Outputs |
|---|
(* -1 (* (sqrt eps) (sqrt -1))) |
(- x (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
x |
(* (sqrt eps) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5))))))))) |
(* -1 eps) |
(- (pow x 2) eps) |
(+ (* -1 eps) (pow x 2)) |
-1 |
(- (/ (pow x 2) eps) 1) |
(/ x eps) |
(* -1 x) |
(* -1/2 (/ eps x)) |
(/ (+ (* -1/2 eps) (pow x 2)) x) |
(/ eps x) |
(* 1/8 (/ (pow eps 2) (pow x 3))) |
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3)) |
(* 1/8 (/ eps (pow x 3))) |
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3)) |
(/ 1/8 (pow x 3)) |
(pow x 3) |
(/ 1/2 x) |
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1))) |
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(* -1 (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* (pow x 2) (- x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* (pow x 2) (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(* (sqrt (pow eps 3)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))))) |
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- 1 (* 1/2 (/ (* (+ (* 2 (pow eps 2)) (pow eps 2)) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2))))) (sqrt -1))))))))) |
(pow x 2) |
(- (* (sqrt eps) (* x (sqrt -1))) eps) |
(- (* x (+ (* 2 x) (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ (* x (+ 2 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ x (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps) |
(* 1/2 (/ eps x)) |
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x) |
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) |
(* x (+ 1 (* -1/2 (/ eps (pow x 2))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) |
(/ (pow x 2) eps) |
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2)))) |
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x) |
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x) |
(* -1/6 (/ (+ (* -2 eps) (* -1 eps)) x)) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))) (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2)))) x) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4)))))) x) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/6 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6)))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/24 (/ (* (pow eps 2) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* 1/288 (/ (* (pow eps 3) (+ (* -2 eps) (* -1 eps))) (pow x 6))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/144 (* (pow eps 2) (+ (* -2 eps) (* -1 eps)))) (* 1/3 (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))))))) (pow x 6))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4))))))))) x) |
(* -1/2 (* x (+ (* -2 eps) (* -1 eps)))) |
(* x (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/2 (+ (* -2 eps) (* -1 eps))))) |
(* x (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))))) |
(* x (- (* 1/2 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))))) |
(* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))) |
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))) |
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- (+ 3 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- (+ 2 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2)))) |
(* 2 x) |
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) |
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) |
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))) |
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))) |
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1))) |
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)) |
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x)) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) 2))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4)))) 2))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/8 (* (pow eps 2) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))))) (+ (* 1/8 (pow eps 3)) (* (- (* 1/2 eps) eps) (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))))))) (pow x 6))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4))))) 2))) |
(* 2 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 2))) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))) (+ 2 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))))) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (+ 2 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))) |
(* -1 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))) |
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))) |
(* (pow x 2) (- (+ 1 (* 1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))) (/ eps (pow x 2)))) |
(- (* 1/2 eps) eps) |
(- (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) eps) |
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) eps) |
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) eps) |
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(+ x (* -1/2 (/ eps x))) |
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(/ (+ (* -1 eps) (pow x 2)) eps) |
eps |
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) |
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) |
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) |
(* eps (- (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(* eps (- (* eps (- (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(* eps (- (* eps (- (* eps (- (* 1/2 (/ (* eps (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(+ (* 1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3)) |
(+ (* eps (+ (* 1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) (pow x 3)) |
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))))) (pow x 3)) |
(+ (* 2 (pow x 2)) (pow x 2)) |
(+ (* -3/2 eps) (+ (* 2 (pow x 2)) (pow x 2))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)) (pow x 2))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)) (pow x 2))) |
(+ (* -3/2 eps) (* 2 (pow x 2))) |
(+ (* 2 (pow x 2)) (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2))) |
(+ (* 2 (pow x 2)) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2))) |
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* eps (- (/ (pow x 2) eps) 1)) |
(* eps (- (/ x eps) (* 1/2 (/ 1 x)))) |
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3))))) |
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3))))) |
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))))) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))) |
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) |
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1)) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1)) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1)) |
(* eps (- (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)) 1)) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) 1)) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) 1)) |
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) |
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x))))) |
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x))))) |
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* (pow eps 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ 1 (+ (* -2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | -inf | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (+ (* x (/ x eps)) -1) (/ x eps) eps -1 (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) -1/2 (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) 1/8 (pow x 3) 3 (/ 1/2 x) 1/2 (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (pow (- (* x x) eps) 3/2) (- (* x x) eps) (* x x) 3/2 (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (sqrt (- (* x x) eps))) |
| 8.0ms | x | @ | inf | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (+ (* x (/ x eps)) -1) (/ x eps) eps -1 (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) -1/2 (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) 1/8 (pow x 3) 3 (/ 1/2 x) 1/2 (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (pow (- (* x x) eps) 3/2) (- (* x x) eps) (* x x) 3/2 (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (sqrt (- (* x x) eps))) |
| 8.0ms | eps | @ | -inf | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (+ (* x (/ x eps)) -1) (/ x eps) eps -1 (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) -1/2 (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) 1/8 (pow x 3) 3 (/ 1/2 x) 1/2 (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (pow (- (* x x) eps) 3/2) (- (* x x) eps) (* x x) 3/2 (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (sqrt (- (* x x) eps))) |
| 8.0ms | eps | @ | inf | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (+ (* x (/ x eps)) -1) (/ x eps) eps -1 (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) -1/2 (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) 1/8 (pow x 3) 3 (/ 1/2 x) 1/2 (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (pow (- (* x x) eps) 3/2) (- (* x x) eps) (* x x) 3/2 (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (sqrt (- (* x x) eps))) |
| 7.0ms | x | @ | 0 | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (+ (* x (/ x eps)) -1) (/ x eps) eps -1 (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (neg x) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (+ (* (/ eps x) -1/2) x) (/ eps x) -1/2 (- x (sqrt (- (* x x) eps))) (* (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) eps) (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/ 1/8 (pow x 3)) 1/8 (pow x 3) 3 (/ 1/2 x) 1/2 (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (pow (- (* x x) eps) 3/2) (- (* x x) eps) (* x x) 3/2 (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (sqrt (- (* x x) eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1008 | 7160 |
| 1 | 3369 | 7015 |
| 0 | 8733 | 6681 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (sqrt eps) (sqrt -1))) |
(- x (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
x |
(* (sqrt eps) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5))))))))) |
(* -1 eps) |
(- (pow x 2) eps) |
(+ (* -1 eps) (pow x 2)) |
-1 |
(- (/ (pow x 2) eps) 1) |
(/ x eps) |
(* -1 x) |
(* -1/2 (/ eps x)) |
(/ (+ (* -1/2 eps) (pow x 2)) x) |
(/ eps x) |
(* 1/8 (/ (pow eps 2) (pow x 3))) |
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3)) |
(* 1/8 (/ eps (pow x 3))) |
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3)) |
(/ 1/8 (pow x 3)) |
(pow x 3) |
(/ 1/2 x) |
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1))) |
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(* -1 (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* (pow x 2) (- x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* (pow x 2) (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(* (sqrt (pow eps 3)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))))) |
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- 1 (* 1/2 (/ (* (+ (* 2 (pow eps 2)) (pow eps 2)) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2))))) (sqrt -1))))))))) |
(pow x 2) |
(- (* (sqrt eps) (* x (sqrt -1))) eps) |
(- (* x (+ (* 2 x) (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ (* x (+ 2 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ x (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps) |
(* 1/2 (/ eps x)) |
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x) |
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) |
(* x (+ 1 (* -1/2 (/ eps (pow x 2))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) |
(/ (pow x 2) eps) |
(* (pow x 2) (- (/ 1 eps) (/ 1 (pow x 2)))) |
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x) |
(/ (+ 1/2 (* 1/8 (/ eps (pow x 2)))) x) |
(* -1/6 (/ (+ (* -2 eps) (* -1 eps)) x)) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))) (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2)))) x) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4)))))) x) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/6 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6)))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/24 (/ (* (pow eps 2) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* 1/288 (/ (* (pow eps 3) (+ (* -2 eps) (* -1 eps))) (pow x 6))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/144 (* (pow eps 2) (+ (* -2 eps) (* -1 eps)))) (* 1/3 (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))))))) (pow x 6))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4))))))))) x) |
(* -1/2 (* x (+ (* -2 eps) (* -1 eps)))) |
(* x (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/2 (+ (* -2 eps) (* -1 eps))))) |
(* x (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))))) |
(* x (- (* 1/2 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))))) |
(* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))) |
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))) |
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- (+ 3 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- (+ 2 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2)))) |
(* 2 x) |
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) |
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) |
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))) |
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))) |
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 1))) |
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)) |
(* -1 (/ (- (* -1/8 (/ eps (pow x 2))) 1/2) x)) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) 2))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4)))) 2))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/8 (* (pow eps 2) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))))) (+ (* 1/8 (pow eps 3)) (* (- (* 1/2 eps) eps) (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))))))) (pow x 6))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4))))) 2))) |
(* 2 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 2))) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))) (+ 2 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))))) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (+ 2 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))) |
(* -1 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))) |
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))) |
(* (pow x 2) (- (+ 1 (* 1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))) (/ eps (pow x 2)))) |
(- (* 1/2 eps) eps) |
(- (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) eps) |
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) eps) |
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) eps) |
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(+ x (* -1/2 (/ eps x))) |
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(/ (+ (* -1 eps) (pow x 2)) eps) |
eps |
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) |
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) |
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) |
(* eps (- (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(* eps (- (* eps (- (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(* eps (- (* eps (- (* eps (- (* 1/2 (/ (* eps (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(+ (* 1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3)) |
(+ (* eps (+ (* 1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) (pow x 3)) |
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))))) (pow x 3)) |
(+ (* 2 (pow x 2)) (pow x 2)) |
(+ (* -3/2 eps) (+ (* 2 (pow x 2)) (pow x 2))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)) (pow x 2))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)) (pow x 2))) |
(+ (* -3/2 eps) (* 2 (pow x 2))) |
(+ (* 2 (pow x 2)) (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2))) |
(+ (* 2 (pow x 2)) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2))) |
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* eps (- (/ (pow x 2) eps) 1)) |
(* eps (- (/ x eps) (* 1/2 (/ 1 x)))) |
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3))))) |
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3))))) |
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))))) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))) |
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) |
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1)) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1)) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1)) |
(* eps (- (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)) 1)) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) 1)) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) 1)) |
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) |
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x))))) |
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x))))) |
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* (pow eps 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ 1 (+ (* -2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
| Outputs |
|---|
(* -1 (* (sqrt eps) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))) |
(- x (* (sqrt eps) (sqrt -1))) |
(-.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))) |
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))) |
x |
(* (sqrt eps) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)) |
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(* -1 eps) |
(neg.f64 eps) |
(- (pow x 2) eps) |
(-.f64 (*.f64 x x) eps) |
(+ (* -1 eps) (pow x 2)) |
(fma.f64 x x (neg.f64 eps)) |
-1 |
#s(literal -1 binary64) |
(- (/ (pow x 2) eps) 1) |
(-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) |
(/ x eps) |
(/.f64 x eps) |
(* -1 x) |
(neg.f64 x) |
(* -1/2 (/ eps x)) |
(*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 eps) (pow x 2)) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x x)) x) |
(/ eps x) |
(/.f64 eps x) |
(* 1/8 (/ (pow eps 2) (pow x 3))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ (* 1/8 (pow eps 2)) (* 1/2 (* eps (pow x 2)))) (pow x 3)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/8 (/ eps (pow x 3))) |
(*.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(/ (+ (* 1/8 eps) (* 1/2 (pow x 2))) (pow x 3)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 3 binary64))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (neg.f64 x)) |
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64)))) x #s(literal -1 binary64)) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal 2 binary64) eps)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))))) x #s(literal -1 binary64)) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(* -1 (* (sqrt (pow eps 3)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) |
(- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))))) |
(- (* (pow x 2) (- x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(fma.f64 (+.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))))) |
(- (* (pow x 2) (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 x (/.f64 (-.f64 (*.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))))) |
(* (sqrt (pow eps 3)) (sqrt -1)) |
(*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 eps eps)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- 1 (* 1/2 (/ (* (+ (* 2 (pow eps 2)) (pow eps 2)) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2))))) (sqrt -1))))))))) |
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(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x) |
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(fma.f64 (-.f64 (*.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x)) eps x) |
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(/ (+ (* -1 eps) (pow x 2)) eps) |
(/.f64 (fma.f64 x x (neg.f64 eps)) eps) |
eps |
(+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))) |
(fma.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) |
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(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
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(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
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(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
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#s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 x x)) (fma.f64 (/.f64 (fma.f64 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x #s(literal 4 binary64)) #s(literal -3 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 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(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* eps (- (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 eps (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) eps) |
(* eps (- (* eps (- (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 eps (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 3 binary64))))) eps (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) eps) |
(* eps (- (* eps (- (* eps (- (* 1/2 (/ (* eps (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) eps (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 3 binary64))))) eps (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) eps) |
(+ (* 1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3)) |
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) eps) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(+ (* eps (+ (* 1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) (pow x 3)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64)))) eps (pow.f64 x #s(literal 3 binary64))) |
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))))) (pow x 3)) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))))) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64)))) eps (pow.f64 x #s(literal 3 binary64))) |
(+ (* 2 (pow x 2)) (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(+ (* -3/2 eps) (+ (* 2 (pow x 2)) (pow x 2))) |
(fma.f64 #s(literal -3/2 binary64) eps (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)) (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) eps (*.f64 x x))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)) (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps) #s(literal 3/2 binary64)) eps (*.f64 x x))) |
(+ (* -3/2 eps) (* 2 (pow x 2))) |
(fma.f64 #s(literal -3/2 binary64) eps (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(+ (* 2 (pow x 2)) (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2))) |
(fma.f64 (-.f64 (*.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) eps (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(+ (* 2 (pow x 2)) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps) #s(literal 3/2 binary64)) eps (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps) |
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -1/2 binary64) (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps) |
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 x eps)) (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) eps) |
(* eps (- (/ (pow x 2) eps) 1)) |
(*.f64 (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) eps) |
(* eps (- (/ x eps) (* 1/2 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x)) eps) |
(* (pow eps 2) (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps eps)) |
(* eps (+ (* 1/2 (/ 1 (* eps x))) (* 1/8 (/ 1 (pow x 3))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) |
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))) eps) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))))))) eps) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) eps) #s(literal 3 binary64))))))))) eps) |
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps eps)) |
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 eps eps)) |
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 eps eps)) |
(* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) eps) |
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1)) |
(*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))) #s(literal 1 binary64)) eps) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))) #s(literal 1 binary64))) eps) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))) #s(literal 1 binary64)))) eps) |
(* eps (- (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)) 1)) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64))) eps) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) 1)) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)))) eps) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64))))) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (-.f64 (/.f64 x (neg.f64 eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps)) |
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) x) (neg.f64 eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps)) |
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) eps) #s(literal -1 binary64) x) (neg.f64 eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps)) |
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps)) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 eps)) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 eps)) |
(* -1 (* eps (+ (* -1 (/ x eps)) (* 1/2 (/ 1 x))))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 eps)) |
(* eps (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 (* eps x))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) |
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (sqrt.f64 eps)) |
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))) |
(*.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 eps)) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
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(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))))) eps) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))))) eps) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) eps))) (neg.f64 eps)) |
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps eps)) |
(* (pow eps 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 eps eps)) |
(* (pow eps 2) (- (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) eps))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) eps))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps eps)) |
(* -1 (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (neg.f64 eps)) |
(* -1 (* eps (+ 1 (+ (* -2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) eps))) #s(literal 1 binary64)) (neg.f64 eps)) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) x) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (neg.f64 eps))) #s(literal 1 binary64)) (neg.f64 eps)) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) x) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 eps))) (neg.f64 eps))) #s(literal 1 binary64)) (neg.f64 eps)) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 x x) (neg.f64 eps))) #s(literal 1 binary64)) (neg.f64 eps)) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) x) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (neg.f64 eps))) #s(literal 1 binary64)) (neg.f64 eps)) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) x) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 eps))) (neg.f64 eps))) #s(literal 1 binary64)) (neg.f64 eps)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 273 |
| 0 | 68 | 273 |
| 1 | 246 | 251 |
| 0 | 1957 | 251 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)))) |
x |
(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps))) |
#s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)) |
(*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps) |
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) |
(/.f64 x eps) |
eps |
#s(literal -1 binary64) |
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
#s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) |
(neg.f64 x) |
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))) |
#s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)) |
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x) |
(/.f64 eps x) |
#s(literal -1/2 binary64) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) |
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) |
(-.f64 (*.f64 x x) eps) |
(*.f64 x x) |
#s(literal 3/2 binary64) |
(fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))) (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))))) |
(/.f64 (-.f64 (*.f64 x x) #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x)) (/.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))))) (/.f64 (pow.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) x #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))) |
x |
(*.f64 (pow.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))) (neg.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))))) |
(*.f64 (fabs.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))) (fabs.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))))) |
(*.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))) |
(pow.f64 (*.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)) #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)) #s(literal 1 binary64)) |
#s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)) |
(sqrt.f64 (*.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)) #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) eps) |
(*.f64 eps (fma.f64 (/.f64 x eps) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps) (-.f64 (*.f64 (/.f64 x eps) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 3 binary64)) #s(literal -1 binary64)) eps) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x eps) x)) (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 x eps) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x eps) x)) (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 x eps) x) eps (*.f64 #s(literal -1 binary64) eps)) |
(fma.f64 #s(literal -1 binary64) eps (*.f64 (*.f64 (/.f64 x eps) x) eps)) |
(fma.f64 eps (*.f64 (/.f64 x eps) x) (*.f64 eps #s(literal -1 binary64))) |
(fma.f64 eps #s(literal -1 binary64) (*.f64 eps (*.f64 (/.f64 x eps) x))) |
(+.f64 (*.f64 (*.f64 (/.f64 x eps) x) eps) (*.f64 #s(literal -1 binary64) eps)) |
(+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 (/.f64 x eps) x) eps)) |
(+.f64 (*.f64 eps (*.f64 (/.f64 x eps) x)) (*.f64 eps #s(literal -1 binary64))) |
(+.f64 (*.f64 eps #s(literal -1 binary64)) (*.f64 eps (*.f64 (/.f64 x eps) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x eps) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 x eps) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x eps) x)) (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 x eps) x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x eps) x) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x eps) x)) (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) eps) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) eps) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x eps) x #s(literal -1 binary64)) |
(fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x eps) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 x eps) x) #s(literal -1 binary64)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 x eps)) x)) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x eps))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x eps) x)) (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x eps) x)) (pow.f64 (*.f64 (/.f64 x eps) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 x eps) x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 x eps) x)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 eps))) |
(/.f64 (neg.f64 x) (neg.f64 eps)) |
(/.f64 x eps) |
(neg.f64 (/.f64 (neg.f64 x) eps)) |
(neg.f64 (/.f64 x (neg.f64 eps))) |
eps |
#s(literal -1 binary64) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) (+.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) #s(literal 2 binary64))) (+.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) (+.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) x)) (/.f64 (pow.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) (+.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) (+.f64 #s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) x) (*.f64 x x)))) |
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
#s(approx (sqrt (- (* x x) eps)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) (+.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) #s(literal 2 binary64))) (+.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) (+.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) x)) (/.f64 (pow.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) (+.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) (+.f64 #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) x) (*.f64 x x)))) |
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x))) |
#s(approx (sqrt (- (* x x) eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) x)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) x)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) x) |
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x) |
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) |
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#s(literal 1/8 binary64) |
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(-.f64 (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps) (*.f64 (neg.f64 x) x)) |
(+.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps) (-.f64 (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps) (-.f64 (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 (*.f64 x x) eps)) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) |
(+.f64 (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps) (*.f64 x x)) |
(+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(+.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps)) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (*.f64 eps eps)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) eps)) |
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (fma.f64 eps eps (*.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (*.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))))) |
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(fma.f64 (fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)) |
(fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) (-.f64 (*.f64 x x) eps)) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) |
(-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps) |
(-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)) |
(-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(-.f64 (*.f64 x x) (-.f64 eps (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))))))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) |
(+.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64))) |
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) #s(literal 1/2 binary64))) |
Compiled 24 193 to 2 651 computations (89% saved)
29 alts after pruning (27 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 572 | 19 | 591 |
| Fresh | 1 | 8 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 577 | 29 | 606 |
| Status | Accuracy | Program |
|---|---|---|
| 48.3% | (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) | |
| ▶ | 48.5% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))) |
| 48.5% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) | |
| 31.2% | (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) | |
| 48.6% | (/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) | |
| 62.6% | (/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) | |
| 48.5% | (/.f64 (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) | |
| ▶ | 33.8% | (/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) x)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
| 25.3% | (/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 eps #s(literal -3 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 eps #s(literal -3 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 eps #s(literal -3 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 eps #s(literal -3 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)))))) x)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) | |
| 34.2% | (/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (*.f64 (*.f64 eps #s(literal -3 binary64)) x) #s(literal -1/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) | |
| 48.5% | (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) | |
| 48.5% | (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))) | |
| 62.6% | (-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) | |
| 62.4% | (-.f64 x (*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))) | |
| ▶ | 25.0% | (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x))))) |
| ▶ | 57.3% | (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
| ▶ | 62.9% | (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) |
| ✓ | 7.5% | (-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))) |
| ✓ | 3.6% | (-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
| 43.3% | #s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (*.f64 (/.f64 (*.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64))) | |
| 42.5% | #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) eps)) x)) | |
| 25.7% | #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (*.f64 eps eps) x) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))) x)) | |
| 22.8% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) | |
| 28.7% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) | |
| 38.2% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) | |
| 43.5% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))) | |
| 43.4% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) | |
| 41.7% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps)) | |
| 39.0% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))) eps)) |
Compiled 1 946 to 942 computations (51.6% saved)
| Inputs |
|---|
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) |
x |
(sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) |
#s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) |
#s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))) |
(fma.f64 x x (neg.f64 eps)) |
(neg.f64 eps) |
eps |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) |
#s(approx (- (* x x) eps) (neg.f64 eps)) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x))))) |
(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x)))) |
#s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(/.f64 eps (*.f64 x x)) |
(*.f64 x x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) x)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
#s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) x) |
(fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) |
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) |
#s(literal 3 binary64) |
(*.f64 eps eps) |
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64))) |
#s(literal -1/4 binary64) |
(*.f64 (*.f64 eps eps) #s(literal 9 binary64)) |
#s(literal 9 binary64) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64))) |
(*.f64 eps #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(-.f64 (*.f64 x x) eps) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
(fma.f64 x x (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps)) |
(-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps) |
(*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) |
| Outputs |
|---|
(* -1 (* (sqrt eps) (sqrt -1))) |
(- x (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
x |
(* (sqrt eps) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5))))))))) |
(* -1 eps) |
(- (pow x 2) eps) |
(+ (* -1 eps) (pow x 2)) |
(* -1 (/ eps (pow x 2))) |
(/ (+ (* -1 eps) (pow x 2)) (pow x 2)) |
(/ eps (pow x 2)) |
(pow x 2) |
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1))) |
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(* -1 (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* (pow x 2) (- x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* (pow x 2) (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(* -1/2 (/ (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2))) x)) |
(/ (+ (* -1/2 (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2)))) (* 3/2 (* eps (pow x 2)))) x) |
(* -1/2 (/ (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2))) (pow x 2))) |
(/ (+ (* -1/2 (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2)))) (* 3/2 (* eps (pow x 2)))) (pow x 2)) |
(/ (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2))) (pow x 2)) |
(- (* (sqrt eps) (* x (sqrt -1))) eps) |
(- (* x (+ (* 2 x) (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ (* x (+ 2 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ x (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps) |
(pow x 3) |
(* (sqrt (pow eps 3)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))))) |
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- 1 (* 1/2 (/ (* (+ (* 2 (pow eps 2)) (pow eps 2)) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2))))) (sqrt -1))))))))) |
(* (sqrt eps) (* x (sqrt -1))) |
(* x (+ x (* (sqrt eps) (sqrt -1)))) |
(* x (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) |
(* x (+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))) |
(+ x (* (sqrt eps) (sqrt -1))) |
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
(* 1/2 (/ eps x)) |
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x) |
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) |
(* x (+ 1 (* -1/2 (/ eps (pow x 2))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) |
1 |
(+ 1 (* -1 (/ eps (pow x 2)))) |
(* -1/6 (/ (+ (* -2 eps) (* -1 eps)) x)) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))) (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2)))) x) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4)))))) x) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/6 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6)))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/24 (/ (* (pow eps 2) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* 1/288 (/ (* (pow eps 3) (+ (* -2 eps) (* -1 eps))) (pow x 6))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/144 (* (pow eps 2) (+ (* -2 eps) (* -1 eps)))) (* 1/3 (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))))))) (pow x 6))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4))))))))) x) |
(* -1/2 (* x (+ (* -2 eps) (* -1 eps)))) |
(* x (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/2 (+ (* -2 eps) (* -1 eps))))) |
(* x (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))))) |
(* x (- (* 1/2 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))))) |
(* 3/2 (* eps x)) |
(* x (+ (* -1/2 (/ (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2))) (pow x 2))) (* 3/2 eps))) |
(* 3/2 eps) |
(+ (* -1/2 (/ (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2))) (pow x 2))) (* 3/2 eps)) |
(* 3 (pow x 2)) |
(* (pow x 2) (- (+ 3 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- (+ 2 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2)))) |
(* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))) |
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))) |
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))) |
(* (pow x 2) (+ 2 (* -1/2 (/ eps (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* (pow x 2) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* 2 x) |
(* x (+ 2 (* -1/2 (/ eps (pow x 2))))) |
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) |
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) |
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) 2))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4)))) 2))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/8 (* (pow eps 2) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))))) (+ (* 1/8 (pow eps 3)) (* (- (* 1/2 eps) eps) (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))))))) (pow x 6))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4))))) 2))) |
(* 2 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 2))) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))) (+ 2 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))))) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (+ 2 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))) |
(* -1 (* x (+ (* -3/2 eps) (* 1/2 (/ (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2))) (pow x 2)))))) |
(* (pow x 2) (- (+ 1 (* 1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))) (/ eps (pow x 2)))) |
(- (* 1/2 eps) eps) |
(- (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) eps) |
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) eps) |
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) eps) |
(* -1 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))) |
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))) |
(* 1/2 eps) |
(+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) |
(+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) |
(+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) |
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)) |
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)) |
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)) |
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(+ x (* -1/2 (/ eps x))) |
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
eps |
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) |
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) |
(* eps (- (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(* eps (- (* eps (- (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(* eps (- (* eps (- (* eps (- (* 1/2 (/ (* eps (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(* eps (+ (* -3/8 (/ eps x)) (* 3/2 x))) |
(* eps (+ 3/2 (* -3/8 (/ eps (pow x 2))))) |
(* 3/4 (/ (pow eps 2) (pow x 2))) |
(* 3/4 (pow eps 2)) |
(pow eps 2) |
(* -9/4 (pow eps 2)) |
(* 9 (pow eps 2)) |
(* -3 eps) |
(+ (* 2 (pow x 2)) (pow x 2)) |
(+ (* -3/2 eps) (+ (* 2 (pow x 2)) (pow x 2))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)) (pow x 2))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)) (pow x 2))) |
(+ (* -3/2 eps) (* 2 (pow x 2))) |
(+ (* 2 (pow x 2)) (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2))) |
(+ (* 2 (pow x 2)) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2))) |
(+ (* 1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3)) |
(+ (* eps (+ (* 1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) (pow x 3)) |
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))))) (pow x 3)) |
(+ (* -1/2 eps) (* 2 (pow x 2))) |
(+ (* 2 (pow x 2)) (* eps (- (* -1/8 (/ eps (pow x 2))) 1/2))) |
(+ (* 2 (pow x 2)) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 1/2))) |
(+ (* -1/2 (/ eps x)) (* 2 x)) |
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* eps (- (/ (pow x 2) eps) 1)) |
(* eps (- (/ 1 eps) (/ 1 (pow x 2)))) |
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))))) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))) |
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* -3/8 (/ (pow eps 2) x)) |
(* (pow eps 2) (- (* 3/2 (/ x eps)) (* 3/8 (/ 1 x)))) |
(* -3/8 (/ (pow eps 2) (pow x 2))) |
(* (pow eps 2) (- (* 3/2 (/ 1 eps)) (* 3/8 (/ 1 (pow x 2))))) |
(* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) |
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1)) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1)) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1)) |
(* eps (- (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)) 1)) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) 1)) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) 1)) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* eps (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))))) |
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))) |
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) |
(* -1 (* eps (- (/ 1 (pow x 2)) (/ 1 eps)))) |
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ 1 (+ (* -2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* (pow eps 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* (sqrt eps) (* x (sqrt -1)))) |
(* -1 (* eps (+ (* -1 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | eps | @ | 0 | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* (/ eps (* x x)) -1) 1) (* x x)) (+ (* (/ eps (* x x)) -1) 1) (/ eps (* x x)) (* x x) -1 1 (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (* (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) x) (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) 3 (* eps eps) (* -1/4 (* (* eps eps) 9)) -1/4 (* (* eps eps) 9) 9 -1/2 (* -1/2 (* eps -3)) (* eps -3) -3 (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (sqrt (- (* x x) eps)) (- (* x x) eps) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (pow x 3) (pow (- (* x x) eps) 3/2) 3/2 (+ (* x x) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps)) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps) (* x (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x)) |
| 9.0ms | x | @ | inf | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* (/ eps (* x x)) -1) 1) (* x x)) (+ (* (/ eps (* x x)) -1) 1) (/ eps (* x x)) (* x x) -1 1 (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (* (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) x) (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) 3 (* eps eps) (* -1/4 (* (* eps eps) 9)) -1/4 (* (* eps eps) 9) 9 -1/2 (* -1/2 (* eps -3)) (* eps -3) -3 (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (sqrt (- (* x x) eps)) (- (* x x) eps) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (pow x 3) (pow (- (* x x) eps) 3/2) 3/2 (+ (* x x) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps)) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps) (* x (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x)) |
| 6.0ms | eps | @ | -inf | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* (/ eps (* x x)) -1) 1) (* x x)) (+ (* (/ eps (* x x)) -1) 1) (/ eps (* x x)) (* x x) -1 1 (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (* (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) x) (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) 3 (* eps eps) (* -1/4 (* (* eps eps) 9)) -1/4 (* (* eps eps) 9) 9 -1/2 (* -1/2 (* eps -3)) (* eps -3) -3 (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (sqrt (- (* x x) eps)) (- (* x x) eps) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (pow x 3) (pow (- (* x x) eps) 3/2) 3/2 (+ (* x x) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps)) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps) (* x (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x)) |
| 6.0ms | eps | @ | inf | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* (/ eps (* x x)) -1) 1) (* x x)) (+ (* (/ eps (* x x)) -1) 1) (/ eps (* x x)) (* x x) -1 1 (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (* (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) x) (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) 3 (* eps eps) (* -1/4 (* (* eps eps) 9)) -1/4 (* (* eps eps) 9) 9 -1/2 (* -1/2 (* eps -3)) (* eps -3) -3 (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (sqrt (- (* x x) eps)) (- (* x x) eps) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (pow x 3) (pow (- (* x x) eps) 3/2) 3/2 (+ (* x x) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps)) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps) (* x (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x)) |
| 4.0ms | x | @ | 0 | ((- x (sqrt (- (* x x) eps))) x (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* x (/ x eps)) -1) eps) (+ (* x x) (neg eps)) (neg eps) eps (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (+ (* (/ eps (* x x)) -1) 1) (* x x)) (+ (* (/ eps (* x x)) -1) 1) (/ eps (* x x)) (* x x) -1 1 (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (* (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) x) (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) 3 (* eps eps) (* -1/4 (* (* eps eps) 9)) -1/4 (* (* eps eps) 9) 9 -1/2 (* -1/2 (* eps -3)) (* eps -3) -3 (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (sqrt (- (* x x) eps)) (- (* x x) eps) (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps))) (- (pow x 3) (pow (- (* x x) eps) 3/2)) (pow x 3) (pow (- (* x x) eps) 3/2) 3/2 (+ (* x x) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps)) (- (* x (+ (sqrt (- (* x x) eps)) x)) eps) (* x (+ (sqrt (- (* x x) eps)) x)) (+ (sqrt (- (* x x) eps)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1086 | 8107 |
| 1 | 3707 | 7962 |
| 0 | 8280 | 7563 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (sqrt eps) (sqrt -1))) |
(- x (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
x |
(* (sqrt eps) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5))))))))) |
(* -1 eps) |
(- (pow x 2) eps) |
(+ (* -1 eps) (pow x 2)) |
(* -1 (/ eps (pow x 2))) |
(/ (+ (* -1 eps) (pow x 2)) (pow x 2)) |
(/ eps (pow x 2)) |
(pow x 2) |
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1))) |
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(* -1 (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* (pow x 2) (- x (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* (pow x 2) (- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(* -1/2 (/ (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2))) x)) |
(/ (+ (* -1/2 (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2)))) (* 3/2 (* eps (pow x 2)))) x) |
(* -1/2 (/ (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2))) (pow x 2))) |
(/ (+ (* -1/2 (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2)))) (* 3/2 (* eps (pow x 2)))) (pow x 2)) |
(/ (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2))) (pow x 2)) |
(- (* (sqrt eps) (* x (sqrt -1))) eps) |
(- (* x (+ (* 2 x) (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ (* x (+ 2 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ x (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps) |
(pow x 3) |
(* (sqrt (pow eps 3)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1)))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))))) |
(+ (* (sqrt (pow eps 3)) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- 1 (* 1/2 (/ (* (+ (* 2 (pow eps 2)) (pow eps 2)) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2))))) (sqrt -1))))))))) |
(* (sqrt eps) (* x (sqrt -1))) |
(* x (+ x (* (sqrt eps) (sqrt -1)))) |
(* x (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) |
(* x (+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1)))) |
(+ x (* (sqrt eps) (sqrt -1))) |
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
(* 1/2 (/ eps x)) |
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x) |
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) |
(* x (+ 1 (* -1/2 (/ eps (pow x 2))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) |
1 |
(+ 1 (* -1 (/ eps (pow x 2)))) |
(* -1/6 (/ (+ (* -2 eps) (* -1 eps)) x)) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))) (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2)))) x) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4)))))) x) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/6 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6)))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/24 (/ (* (pow eps 2) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* 1/288 (/ (* (pow eps 3) (+ (* -2 eps) (* -1 eps))) (pow x 6))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/144 (* (pow eps 2) (+ (* -2 eps) (* -1 eps)))) (* 1/3 (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))))))) (pow x 6))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4))))))))) x) |
(* -1/2 (* x (+ (* -2 eps) (* -1 eps)))) |
(* x (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/2 (+ (* -2 eps) (* -1 eps))))) |
(* x (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))))) |
(* x (- (* 1/2 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6))) (+ (* 1/2 (+ (* -2 eps) (* -1 eps))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))))) |
(* 3/2 (* eps x)) |
(* x (+ (* -1/2 (/ (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2))) (pow x 2))) (* 3/2 eps))) |
(* 3/2 eps) |
(+ (* -1/2 (/ (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2))) (pow x 2))) (* 3/2 eps)) |
(* 3 (pow x 2)) |
(* (pow x 2) (- (+ 3 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- (+ 2 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2)))) |
(* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))) |
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))) |
(* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))) |
(* (pow x 2) (+ 2 (* -1/2 (/ eps (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* (pow x 2) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* 2 x) |
(* x (+ 2 (* -1/2 (/ eps (pow x 2))))) |
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) |
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) |
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) 2))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4)))) 2))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/8 (* (pow eps 2) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps))))) (+ (* 1/8 (pow eps 3)) (* (- (* 1/2 eps) eps) (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))))))) (pow x 6))) (* -1 (/ (- (* 1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* 1/4 (pow eps 2)) (* (- (* 1/2 eps) eps) (- (* 1/2 (+ (* -2 eps) (* -1 eps))) (* 2 (- (* 1/2 eps) eps)))))) (pow x 4))))) 2))) |
(* 2 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 2))) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))) (+ 2 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))))))) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (+ 2 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))) |
(* -1 (* x (+ (* -3/2 eps) (* 1/2 (/ (+ (* -9/4 (pow eps 2)) (* 3 (pow eps 2))) (pow x 2)))))) |
(* (pow x 2) (- (+ 1 (* 1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))) (/ eps (pow x 2)))) |
(- (* 1/2 eps) eps) |
(- (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) eps) |
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) eps) |
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) eps) |
(* -1 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1 (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))))) |
(* -1 (* (pow x 3) (+ 1 (+ (* 1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* 1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* 1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))))))) |
(* 1/2 eps) |
(+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) |
(+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) |
(+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) |
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)) |
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)) |
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)) |
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(+ x (* -1/2 (/ eps x))) |
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
eps |
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) |
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) |
(* eps (- (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(* eps (- (* eps (- (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(* eps (- (* eps (- (* eps (- (* 1/2 (/ (* eps (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(* eps (+ (* -3/8 (/ eps x)) (* 3/2 x))) |
(* eps (+ 3/2 (* -3/8 (/ eps (pow x 2))))) |
(* 3/4 (/ (pow eps 2) (pow x 2))) |
(* 3/4 (pow eps 2)) |
(pow eps 2) |
(* -9/4 (pow eps 2)) |
(* 9 (pow eps 2)) |
(* -3 eps) |
(+ (* 2 (pow x 2)) (pow x 2)) |
(+ (* -3/2 eps) (+ (* 2 (pow x 2)) (pow x 2))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)) (pow x 2))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)) (pow x 2))) |
(+ (* -3/2 eps) (* 2 (pow x 2))) |
(+ (* 2 (pow x 2)) (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2))) |
(+ (* 2 (pow x 2)) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2))) |
(+ (* 1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3)) |
(+ (* eps (+ (* 1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) (pow x 3)) |
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))))) (pow x 3)) |
(+ (* -1/2 eps) (* 2 (pow x 2))) |
(+ (* 2 (pow x 2)) (* eps (- (* -1/8 (/ eps (pow x 2))) 1/2))) |
(+ (* 2 (pow x 2)) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 1/2))) |
(+ (* -1/2 (/ eps x)) (* 2 x)) |
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* eps (- (/ (pow x 2) eps) 1)) |
(* eps (- (/ 1 eps) (/ 1 (pow x 2)))) |
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))))) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))) |
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* -3/8 (/ (pow eps 2) x)) |
(* (pow eps 2) (- (* 3/2 (/ x eps)) (* 3/8 (/ 1 x)))) |
(* -3/8 (/ (pow eps 2) (pow x 2))) |
(* (pow eps 2) (- (* 3/2 (/ 1 eps)) (* 3/8 (/ 1 (pow x 2))))) |
(* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) |
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1)) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1)) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1)) |
(* eps (- (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)) 1)) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) 1)) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) 1)) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* eps (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))))) |
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))) |
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) |
(* -1 (* eps (- (/ 1 (pow x 2)) (/ 1 eps)))) |
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (+ (* 1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (- (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ 1 (+ (* -2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* (pow eps 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (* 1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))) (pow eps 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* (sqrt eps) (* x (sqrt -1)))) |
(* -1 (* eps (+ (* -1 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
| Outputs |
|---|
(* -1 (* (sqrt eps) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))) |
(- x (* (sqrt eps) (sqrt -1))) |
(-.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))) |
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))) x #s(literal 1 binary64)) x (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))) |
x |
(* (sqrt eps) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)) |
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(* -1 eps) |
(neg.f64 eps) |
(- (pow x 2) eps) |
(-.f64 (*.f64 x x) eps) |
(+ (* -1 eps) (pow x 2)) |
(fma.f64 x x (neg.f64 eps)) |
(* -1 (/ eps (pow x 2))) |
(/.f64 (neg.f64 eps) (*.f64 x x)) |
(/ (+ (* -1 eps) (pow x 2)) (pow x 2)) |
(/.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x x)) |
(/ eps (pow x 2)) |
(/.f64 eps (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (neg.f64 x)) |
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(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
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(* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/32 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 7) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/16 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 5) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* 3/4 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) |
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(* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* eps (- (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 eps (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) eps) |
(* eps (- (* eps (- (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 eps (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 3 binary64))))) eps (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) eps) |
(* eps (- (* eps (- (* eps (- (* 1/2 (/ (* eps (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 6))) (* 1/4 (/ (pow (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) |
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(* eps (+ (* -3/8 (/ eps x)) (* 3/2 x))) |
(*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 eps x) (*.f64 #s(literal 3/2 binary64) x)) eps) |
(* eps (+ 3/2 (* -3/8 (/ eps (pow x 2))))) |
(*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 eps (*.f64 x x)) #s(literal 3/2 binary64)) eps) |
(* 3/4 (/ (pow eps 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal 3/4 binary64) x) (/.f64 (*.f64 eps eps) x)) |
(* 3/4 (pow eps 2)) |
(*.f64 #s(literal 3/4 binary64) (*.f64 eps eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* -9/4 (pow eps 2)) |
(*.f64 #s(literal -9/4 binary64) (*.f64 eps eps)) |
(* 9 (pow eps 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 eps eps)) |
(* -3 eps) |
(*.f64 #s(literal -3 binary64) eps) |
(+ (* 2 (pow x 2)) (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(+ (* -3/2 eps) (+ (* 2 (pow x 2)) (pow x 2))) |
(fma.f64 #s(literal -3/2 binary64) eps (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)) (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) eps (*.f64 x x))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)) (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal -3/2 binary64)) eps (*.f64 x x))) |
(+ (* -3/2 eps) (* 2 (pow x 2))) |
(fma.f64 #s(literal -3/2 binary64) eps (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(+ (* 2 (pow x 2)) (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2))) |
(fma.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) eps (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(+ (* 2 (pow x 2)) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal -3/2 binary64)) eps (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(+ (* 1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3)) |
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) eps) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(+ (* eps (+ (* 1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) (pow x 3)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64)))) eps (pow.f64 x #s(literal 3 binary64))) |
(+ (* eps (+ (* 1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))) (* 1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))))))) (pow x 3)) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))))) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64)))) eps (pow.f64 x #s(literal 3 binary64))) |
(+ (* -1/2 eps) (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) eps)) |
(+ (* 2 (pow x 2)) (* eps (- (* -1/8 (/ eps (pow x 2))) 1/2))) |
(fma.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) eps (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(+ (* 2 (pow x 2)) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 1/2))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) eps #s(literal -1/2 binary64)) eps (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(+ (* -1/2 (/ eps x)) (* 2 x)) |
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) x)) |
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(fma.f64 (-.f64 (*.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x)) eps (*.f64 #s(literal 2 binary64) x)) |
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) eps (*.f64 #s(literal 2 binary64) x)) |
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps) |
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -1/2 binary64) (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps) |
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 x eps)) (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) eps) |
(* eps (- (/ (pow x 2) eps) 1)) |
(*.f64 (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) eps) |
(* eps (- (/ 1 eps) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (*.f64 x x))) eps) |
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))) eps) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))))))) eps) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* 2 (/ (* (pow x 2) (- (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (+ (* 1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) eps) #s(literal 3 binary64))))))))) eps) |
(* (pow eps 2) (- (/ (pow x 3) (pow eps 2)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps eps)) |
(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
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(* (pow eps 2) (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
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(* -3/8 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -3/8 binary64)) |
(* (pow eps 2) (- (* 3/2 (/ x eps)) (* 3/8 (/ 1 x)))) |
(*.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x eps)) (/.f64 #s(literal 3/8 binary64) x)) (*.f64 eps eps)) |
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(*.f64 (/.f64 #s(literal -3/8 binary64) x) (/.f64 (*.f64 eps eps) x)) |
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(*.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) eps) (/.f64 #s(literal 3/8 binary64) (*.f64 x x))) (*.f64 eps eps)) |
(* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) |
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(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1)) |
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(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1)) |
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(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1)) |
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(* eps (- (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)) 1)) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64))) eps) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) 1)) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)))) eps) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64))))) eps) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
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(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 eps eps)) |
(* eps (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 x x) eps)) eps) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 x x) eps))) eps) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 x x) eps)))) eps) |
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)) eps) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps))) eps) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)))) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (-.f64 (/.f64 x (neg.f64 eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps)) |
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) x) (neg.f64 eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps)) |
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) eps) #s(literal -1 binary64) x) (neg.f64 eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps)) |
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 eps)) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 eps)) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 eps)) |
(* -1 (* eps (- (/ 1 (pow x 2)) (/ 1 eps)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) eps)) (neg.f64 eps)) |
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (sqrt.f64 eps)) |
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))) |
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(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) x) (neg.f64 eps))) (neg.f64 eps)) |
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps)) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))))) eps) #s(literal -1 binary64) x) (neg.f64 eps))) (neg.f64 eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 536 |
| 0 | 99 | 533 |
| 1 | 368 | 505 |
| 0 | 2877 | 501 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) |
x |
(sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) |
#s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) |
#s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))) |
(fma.f64 x x (neg.f64 eps)) |
(neg.f64 eps) |
eps |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) |
#s(approx (- (* x x) eps) (neg.f64 eps)) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x))))) |
(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x)))) |
#s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(/.f64 eps (*.f64 x x)) |
(*.f64 x x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) x)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
#s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) x) |
(fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) |
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) |
#s(literal 3 binary64) |
(*.f64 eps eps) |
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64))) |
#s(literal -1/4 binary64) |
(*.f64 (*.f64 eps eps) #s(literal 9 binary64)) |
#s(literal 9 binary64) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64))) |
(*.f64 eps #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(-.f64 (*.f64 x x) eps) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
(fma.f64 x x (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps)) |
(-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps) |
(*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) x #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))))) |
(/.f64 (-.f64 (*.f64 x x) #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) x #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) x)) (/.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) x #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))))) (/.f64 (pow.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) x #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) |
x |
(*.f64 (pow.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) #s(literal -1/2 binary64))) |
(sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) (neg.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))))) |
(*.f64 (fabs.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) (fabs.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))))) |
(*.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) |
(pow.f64 (*.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) #s(literal 1 binary64)) |
#s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) |
(sqrt.f64 (*.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))) #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) |
#s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 x #s(literal 4 binary64))) (-.f64 (neg.f64 eps) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps))) (neg.f64 (-.f64 (*.f64 x x) (neg.f64 eps)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 x x) (neg.f64 eps))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (neg.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (neg.f64 eps)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (neg.f64 eps)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 eps)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (neg.f64 eps)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 eps)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 eps)) |
(fma.f64 x x (neg.f64 eps)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (neg.f64 eps))) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 x x) (neg.f64 eps)))) |
(-.f64 (neg.f64 eps) (*.f64 (neg.f64 x) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 x x) (neg.f64 eps)) |
(+.f64 (neg.f64 eps) (*.f64 x x)) |
(neg.f64 eps) |
eps |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(approx (- (* x x) eps) (neg.f64 eps)))) (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x #s(approx (- (* x x) eps) (neg.f64 eps)))))) |
(/.f64 (-.f64 (*.f64 x x) #s(approx (- (* x x) eps) (neg.f64 eps))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x #s(approx (- (* x x) eps) (neg.f64 eps))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x)) (/.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x #s(approx (- (* x x) eps) (neg.f64 eps))))) (/.f64 (pow.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x #s(approx (- (* x x) eps) (neg.f64 eps)))))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
(*.f64 (pow.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) #s(literal -1/2 binary64))) |
(sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) (neg.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))) |
(*.f64 (fabs.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) (fabs.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))))) |
(*.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
(pow.f64 (*.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) #s(approx (- (* x x) eps) (neg.f64 eps))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) #s(literal 1 binary64)) |
#s(approx (- (* x x) eps) (neg.f64 eps)) |
(sqrt.f64 (*.f64 #s(approx (- (* x x) eps) (neg.f64 eps)) #s(approx (- (* x x) eps) (neg.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(approx (- (* x x) eps) (*.f64 (*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x) x)))) (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x) x))) x))) |
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(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) |
(fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) |
(fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) |
(fma.f64 x x (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (*.f64 x x) eps))) (/.f64 (pow.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (*.f64 x x) eps)))) |
(-.f64 (*.f64 x (+.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) eps) |
(-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (-.f64 eps (*.f64 x x))) |
(-.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps) (*.f64 (neg.f64 x) x)) |
(+.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps) (-.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps) (-.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) |
(+.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (-.f64 (*.f64 x x) eps)) |
(+.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps) (*.f64 x x)) |
(+.f64 (-.f64 (*.f64 x x) eps) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) |
(+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps)) |
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64)) (*.f64 eps eps))) (neg.f64 (fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x eps))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x eps) (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64)) (*.f64 eps eps)) (fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x eps)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x eps) (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (*.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))))) |
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(fma.f64 (fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)) |
(fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) (-.f64 (*.f64 x x) eps)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x eps)) (/.f64 (*.f64 eps eps) (fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x eps))) |
(-.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 3 binary64)) (fma.f64 eps (fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x eps) (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (fma.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x eps) (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps) |
(-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)) |
(-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(-.f64 (*.f64 x x) (-.f64 eps (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (*.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))))))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) |
(+.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) |
(*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps))) |
(/.f64 (*.f64 x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (*.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (*.f64 x x)) |
(fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) (*.f64 x x)) |
(fma.f64 x x (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(/.f64 (neg.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps))) |
(/.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) x) |
(-.f64 (/.f64 (-.f64 (*.f64 x x) eps) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)))) |
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 46 490 to 4 454 computations (90.4% saved)
31 alts after pruning (27 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 893 | 12 | 905 |
| Fresh | 7 | 15 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 903 | 31 | 934 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.3% | (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
| 48.3% | (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)))) (fma.f64 x x (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))) | |
| 46.6% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (/.f64 (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))) | |
| 48.5% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) | |
| 48.5% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))) | |
| 31.2% | (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (+.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) eps)) (*.f64 (-.f64 (*.f64 x (+.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) eps) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) (*.f64 (-.f64 (*.f64 x (+.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) eps) (-.f64 (*.f64 x (+.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) eps))) | |
| 48.6% | (/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))) | |
| 62.6% | (/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) | |
| 56.9% | (/.f64 (-.f64 (*.f64 x x) #s(approx (- (* x x) eps) (neg.f64 eps))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x)) | |
| ▶ | 48.5% | (/.f64 (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
| 34.3% | (/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) x)) #s(approx (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (fma.f64 #s(literal -3/2 binary64) eps (*.f64 (*.f64 x x) #s(literal 3 binary64))))) | |
| 25.3% | (/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 9 binary64) (*.f64 eps eps)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) eps) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 9 binary64) (*.f64 eps eps)))))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) eps) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 9 binary64) (*.f64 eps eps)))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 9 binary64) (*.f64 eps eps)))) (*.f64 x x)))))) x)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) | |
| 34.2% | (/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 #s(approx (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) (*.f64 #s(literal 3/2 binary64) eps)) x)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) | |
| 35.4% | (/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) #s(approx (* (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) x) (*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 eps x) (*.f64 #s(literal 3/2 binary64) x)) eps))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) | |
| 48.5% | (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))) | |
| 48.5% | (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (+.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) eps)) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (-.f64 (*.f64 x (+.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) eps))) | |
| ▶ | 62.6% | (-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
| 62.4% | (-.f64 x (*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))) | |
| ▶ | 25.0% | (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))))) |
| ✓ | 57.3% | (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
| ✓ | 62.9% | (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) |
| ✓ | 7.5% | (-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))) |
| ✓ | 3.6% | (-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
| 43.3% | #s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (*.f64 (/.f64 (*.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64))) | |
| 42.5% | #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) eps)) x)) | |
| 25.7% | #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (*.f64 eps eps) x) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))) x)) | |
| 22.8% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) | |
| 38.2% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) | |
| 43.5% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))) | |
| ▶ | 43.4% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) |
| 41.7% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps)) |
Compiled 2 181 to 1 035 computations (52.5% saved)
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(*.f64 x x) |
x |
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(-.f64 (*.f64 x x) eps) |
eps |
(/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))))) |
(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x)))) |
#s(approx (- (* x x) eps) (*.f64 (-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))) |
(*.f64 (-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x)) |
(-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 eps (*.f64 x x))) |
(/.f64 eps (*.f64 x x)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(fma.f64 (*.f64 x x) x (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) |
(neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) |
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)) |
#s(literal 3/4 binary64) |
| Outputs |
|---|
(* (sqrt eps) (/ 1 (sqrt -1))) |
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1)))) |
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1)))) |
(* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))) |
(* (pow x 2) (+ (* -1 (/ x (* eps (pow (sqrt -1) 2)))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))) |
(* (pow x 2) (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))) |
(* (pow x 2) (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* (pow eps 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))) |
(pow x 2) |
x |
(* (sqrt eps) (sqrt -1)) |
(+ x (* (sqrt eps) (sqrt -1))) |
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5))))))))) |
(* -1 eps) |
(- (pow x 2) eps) |
(* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) |
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2))) |
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (+ (* x (- (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))) |
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (+ (* x (- (+ (* -1 (* x (+ (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* (sqrt (/ 1 eps)) (/ (- (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt eps) (sqrt -1))) |
(- x (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
(* 1/2 (/ eps x)) |
(/ 1/2 x) |
(+ (* -1 eps) (pow x 2)) |
(* -1 (/ eps (pow x 2))) |
(/ (- (pow x 2) eps) (pow x 2)) |
(/ eps (pow x 2)) |
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (- (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (pow (sqrt -1) 2)))) |
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (- (+ (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (* x (- (* -1 (/ (+ (* -2 (* (sqrt eps) (sqrt -1))) (+ (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1)))) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (pow (sqrt -1) 2))))) (* 2 (* (sqrt (/ 1 eps)) (sqrt -1))))))) (pow (sqrt -1) 2)))) |
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (- (+ (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (pow (sqrt -1) 2)) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* -1 (/ (+ (* -2 (* (sqrt eps) (sqrt -1))) (+ (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1)))) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (pow (sqrt -1) 2))))) (* 2 (* (sqrt (/ 1 eps)) (sqrt -1)))))))) (* 3/2 (/ 1 eps)))))) (* -1 (/ (+ (* -2 (* (sqrt eps) (sqrt -1))) (+ (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1)))) eps))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (pow (sqrt -1) 2))))) (* 2 (* (sqrt (/ 1 eps)) (sqrt -1))))))) (pow (sqrt -1) 2)))) |
(* (sqrt (pow eps 3)) (sqrt -1)) |
(+ (* x (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(+ (* x (+ (* -1 eps) (+ (* -1 (* eps (pow (sqrt -1) 2))) (* x (+ (* -2 (* (sqrt eps) (sqrt -1))) (+ (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(+ (* x (+ (* -1 eps) (+ (* -1 (* eps (pow (sqrt -1) 2))) (* x (+ x (+ (* -2 (* (sqrt eps) (sqrt -1))) (+ (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1))))))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* (sqrt eps) (* x (sqrt -1))) eps) |
(- (* x (+ (* 2 x) (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ (* x (+ 2 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ x (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps) |
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1))) |
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(* -1 (* (sqrt (pow eps 3)) (sqrt -1))) |
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1))))) |
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* (pow x 2) (+ x (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))))) |
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* x (+ 1 (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1))))))))) |
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))))) |
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- 1 (* 1/2 (/ (* (+ (* 2 (pow eps 2)) (pow eps 2)) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2))))) (sqrt -1))))))))) |
(* -1 (pow (* -1 (pow eps 3)) 1/4)) |
(- (* 1/4 (* (pow (/ -1 (pow eps 9)) 1/4) (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))))) (pow (* -1 (pow eps 3)) 1/4)) |
(- (* (pow x 2) (- (* -1 (* (pow (* -1 (pow eps 3)) 1/4) (* (pow x 2) (+ (* 1/96 (+ (* -24 (/ (+ (* -2 eps) (* -1 eps)) (pow eps 3))) (* -12 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))) (* 1/32 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))))) (* -1/4 (* (pow (/ -1 (pow eps 9)) 1/4) (+ (* 2 (pow eps 2)) (pow eps 2)))))) (pow (* -1 (pow eps 3)) 1/4)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow (* -1 (pow eps 3)) 1/4) (* (pow x 2) (+ (* -1/384 (/ (* (+ (* -24 (/ (+ (* -2 eps) (* -1 eps)) (pow eps 3))) (* -12 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6)))) (+ (* 2 (pow eps 2)) (pow eps 2))) (pow eps 3))) (+ (* -1/384 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 3) (pow eps 9))) (* 1/2880 (- (+ (* -720 (/ (* (+ (* -2 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (pow eps 2))) (pow eps 6))) (* -240 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 3) (pow eps 9)))) (* 720 (/ 1 (pow eps 3)))))))))) (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 1/96 (+ (* -24 (/ (+ (* -2 eps) (* -1 eps)) (pow eps 3))) (* -12 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))) (* 1/32 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))))) (* -1/4 (* (pow (/ -1 (pow eps 9)) 1/4) (+ (* 2 (pow eps 2)) (pow eps 2)))))) (pow (* -1 (pow eps 3)) 1/4)) |
(pow (* -1 (pow eps 3)) 1/4) |
(+ (* -1/4 (* (pow (/ -1 (pow eps 9)) 1/4) (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))))) (pow (* -1 (pow eps 3)) 1/4)) |
(+ (* (pow x 2) (+ (* -1/4 (* (pow (/ -1 (pow eps 9)) 1/4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* (pow (* -1 (pow eps 3)) 1/4) (* (pow x 2) (+ (* 1/96 (+ (* -24 (/ (+ (* -2 eps) (* -1 eps)) (pow eps 3))) (* -12 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))) (* 1/32 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6)))))))) (pow (* -1 (pow eps 3)) 1/4)) |
(+ (* (pow x 2) (+ (* -1/4 (* (pow (/ -1 (pow eps 9)) 1/4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* (pow x 2) (+ (* (pow (* -1 (pow eps 3)) 1/4) (* (pow x 2) (+ (* -1/384 (/ (* (+ (* -24 (/ (+ (* -2 eps) (* -1 eps)) (pow eps 3))) (* -12 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6)))) (+ (* 2 (pow eps 2)) (pow eps 2))) (pow eps 3))) (+ (* -1/384 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 3) (pow eps 9))) (* 1/2880 (- (+ (* -720 (/ (* (+ (* -2 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (pow eps 2))) (pow eps 6))) (* -240 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 3) (pow eps 9)))) (* 720 (/ 1 (pow eps 3))))))))) (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 1/96 (+ (* -24 (/ (+ (* -2 eps) (* -1 eps)) (pow eps 3))) (* -12 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))) (* 1/32 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))))))) (pow (* -1 (pow eps 3)) 1/4)) |
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x) |
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (pow eps 4))) (pow x 6))) (* 1/2 eps)) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/8 (/ eps (pow x 2))))) |
(* x (- (+ 1/2 (* 1/16 (/ (pow eps 2) (pow x 4)))) (* -1/8 (/ eps (pow x 2))))) |
(* x (- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow eps 3)) (* -1/128 (pow eps 3))) (pow x 6)))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/16 (/ (pow eps 2) (pow x 4)))))) |
(* 2 x) |
(* x (+ 2 (* -1/2 (/ eps (pow x 2))))) |
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* x (+ 1 (* -1/2 (/ eps (pow x 2))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) |
(* x (- (+ 1/2 (* -1/2 (/ eps (pow x 2)))) (* -1/8 (/ eps (pow x 2))))) |
(* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))) (pow x 4))) (* -1/2 (/ eps (pow x 2))))) (* -1/8 (/ eps (pow x 2))))) |
(* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/16 (* (pow eps 2) (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/64 (pow eps 3)) (* 1/4 (* eps (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))))))) (pow x 6))) (* -1/2 (/ eps (pow x 2))))) (+ (* -1/4 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/32 (/ (pow eps 2) (pow x 4))))))) |
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x) |
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) |
1 |
(+ 1 (* -1 (/ eps (pow x 2)))) |
(* 3/2 (* eps x)) |
(* x (+ (* 3/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 (/ (* eps (- (* -1/2 eps) eps)) (pow x 2))) (* 3/2 eps)))) |
(* x (+ (* -1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (* (pow eps 2) (- (* -1/2 eps) eps)) (pow x 4))) (+ (* 3/16 (/ (pow eps 3) (pow x 4))) (+ (* 3/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 (/ (* eps (- (* -1/2 eps) eps)) (pow x 2))) (* 3/2 eps))))))) |
(* x (+ (* -1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/32 (/ (pow eps 4) (pow x 6))) (+ (* -1/64 (/ (pow eps 4) (pow x 6))) (+ (* 1/16 (/ (* (pow eps 3) (- (* -1/2 eps) eps)) (pow x 6))) (+ (* 1/8 (/ (* (pow eps 2) (- (* -1/2 eps) eps)) (pow x 4))) (+ (* 3/16 (/ (pow eps 3) (pow x 4))) (+ (* 3/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 (/ (* eps (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 3/2 eps) (* 3/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))))))))))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- (+ 3 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- (+ 2 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2)))) |
(* -1/6 (/ (+ (* -2 eps) (* -1 eps)) x)) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))) (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2)))) x) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4)))))) x) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/6 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6)))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/24 (/ (* (pow eps 2) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* 1/288 (/ (* (pow eps 3) (+ (* -2 eps) (* -1 eps))) (pow x 6))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/144 (* (pow eps 2) (+ (* -2 eps) (* -1 eps)))) (* 1/3 (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))))))) (pow x 6))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4))))))))) x) |
(* -1/2 (* x (+ (* -2 eps) (* -1 eps)))) |
(* x (+ (* -1/2 (+ (* -2 eps) (* -1 eps))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) |
(* x (+ (* -1/2 (+ (* -2 eps) (* -1 eps))) (+ (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))))) |
(* x (+ (* -1/2 (+ (* -2 eps) (* -1 eps))) (+ (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/2 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6))))))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 1)) |
(* (pow x 3) (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))) 1)) |
(* (pow x 3) (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))) 1)) |
(* -1 (sqrt (pow x 3))) |
(- (* -1/4 (* (sqrt (/ 1 x)) (+ (* -2 eps) (* -1 eps)))) (sqrt (pow x 3))) |
(- (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2))))) (+ (sqrt (pow x 3)) (* 1/4 (* (sqrt (/ 1 x)) (+ (* -2 eps) (* -1 eps)))))) |
(- (* -1 (* (sqrt (/ 1 (pow x 9))) (+ (* 1/2880 (+ (* -720 (* (+ (* -2 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -720 (pow eps 3)) (* 240 (pow (+ (* -2 eps) (* -1 eps)) 3))))) (+ (* 1/384 (* (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -2 eps) (* -1 eps)))) (* 1/384 (pow (+ (* -2 eps) (* -1 eps)) 3)))))) (+ (sqrt (pow x 3)) (+ (* 1/4 (* (sqrt (/ 1 x)) (+ (* -2 eps) (* -1 eps)))) (* (sqrt (/ 1 (pow x 5))) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) |
(sqrt (pow x 3)) |
(+ (sqrt (pow x 3)) (* 1/4 (* (sqrt (/ 1 x)) (+ (* -2 eps) (* -1 eps))))) |
(+ (sqrt (pow x 3)) (+ (* 1/4 (* (sqrt (/ 1 x)) (+ (* -2 eps) (* -1 eps)))) (* (sqrt (/ 1 (pow x 5))) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) |
(+ (sqrt (pow x 3)) (+ (* 1/4 (* (sqrt (/ 1 x)) (+ (* -2 eps) (* -1 eps)))) (+ (* (sqrt (/ 1 (pow x 5))) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* (sqrt (/ 1 (pow x 9))) (+ (* 1/2880 (+ (* -720 (* (+ (* -2 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -720 (pow eps 3)) (* 240 (pow (+ (* -2 eps) (* -1 eps)) 3))))) (+ (* 1/384 (* (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -2 eps) (* -1 eps)))) (* 1/384 (pow (+ (* -2 eps) (* -1 eps)) 3)))))))) |
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) |
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4))))))))) |
(* 2 (/ (pow x 3) eps)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 1/8 eps)))) (* 1/16 (pow eps 2)))) (pow x 6))) (* 1/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps))))))) |
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)) |
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)) |
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))) |
(* -1 (* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/4 eps) (* 5/8 eps)) (pow x 4))) (* 5/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 5/8 eps)))) (* 5/16 (pow eps 2)))) (pow x 6))) (* 5/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 5/8 (/ eps (pow x 4))) (* 2 (/ 1 eps))))))) |
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) |
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))) |
(* -1 (* x (- (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))) 2))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1/8 (pow eps 3)) (* -1/16 (pow eps 3))) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2))) |
(* 2 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1/2 eps) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) 2))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/2 eps) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (* -1 (/ (+ (* -1/2 (* eps (- (* 1/2 eps) eps))) (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4)))) 2))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/2 eps) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (+ (* -1 (/ (+ (* -1/2 (* eps (- (* 1/2 eps) eps))) (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* -1 (/ (+ (* -1/8 (* (pow eps 2) (- (* 1/2 eps) eps))) (+ (* -1/8 (pow eps 3)) (* 1/8 (pow eps 3)))) (pow x 6))))) 2))) |
(* (pow x 2) (- (+ 1 (* 1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))) (/ eps (pow x 2)))) |
(- (* 1/2 eps) eps) |
(- (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) eps) |
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) eps) |
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) eps) |
(* -1 (* x (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ 2 (* -2 (/ (- (* 1/2 eps) eps) (pow x 2))))))) |
(* -1 (* x (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))) (+ 2 (+ (* -2 (/ (- (* 1/2 eps) eps) (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (/ (* (- (* -1/2 (+ (* -2 eps) (* -1 eps))) (* -2 (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps)) (pow x 4)))))))) |
(* -1 (* x (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))) (+ 2 (+ (* -2 (/ (- (* 1/2 eps) eps) (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (+ (* -1/8 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (* (pow eps 2) (- (* -1/2 (+ (* -2 eps) (* -1 eps))) (* -2 (- (* 1/2 eps) eps)))) (pow x 6))) (+ (/ (* (- (* -1/2 (+ (* -2 eps) (* -1 eps))) (* -2 (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps)) (pow x 4)) (/ (* (- (* -1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* -1/4 (pow eps 2)) (* (- (* -1/2 (+ (* -2 eps) (* -1 eps))) (* -2 (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps)))) (- (* 1/2 eps) eps)) (pow x 6))))))))))) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 2))) |
(* -1 (* (pow x 3) (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))) 2))) |
(* -1 (* (pow x 3) (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))) 2))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 1))) |
(* -1 (* (pow x 3) (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))) 1))) |
(* -1 (* (pow x 3) (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))) 1))) |
(* -1 (* (sqrt (pow x 3)) (sqrt -1))) |
(- (* -1/4 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 eps) (* -1 eps))))) (* (sqrt (pow x 3)) (sqrt -1))) |
(- (* -1 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 eps) (* -1 eps))))) (* (sqrt (pow x 3)) (sqrt -1)))) |
(- (* -1 (* (sqrt (/ 1 (pow x 9))) (* (sqrt -1) (+ (* 1/2880 (+ (* -720 (* (+ (* -2 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -720 (pow eps 3)) (* 240 (pow (+ (* -2 eps) (* -1 eps)) 3))))) (+ (* 1/384 (* (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -2 eps) (* -1 eps)))) (* 1/384 (pow (+ (* -2 eps) (* -1 eps)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 eps) (* -1 eps))))) (+ (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2))))) (* (sqrt (pow x 3)) (sqrt -1))))) |
(* (sqrt (pow x 3)) (sqrt -1)) |
(+ (* 1/4 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 eps) (* -1 eps))))) (* (sqrt (pow x 3)) (sqrt -1))) |
(+ (* 1/4 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 eps) (* -1 eps))))) (+ (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2))))) (* (sqrt (pow x 3)) (sqrt -1)))) |
(+ (* 1/4 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 eps) (* -1 eps))))) (+ (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2))))) (+ (* (sqrt (/ 1 (pow x 9))) (* (sqrt -1) (+ (* 1/2880 (+ (* -720 (* (+ (* -2 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -720 (pow eps 3)) (* 240 (pow (+ (* -2 eps) (* -1 eps)) 3))))) (+ (* 1/384 (* (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -2 eps) (* -1 eps)))) (* 1/384 (pow (+ (* -2 eps) (* -1 eps)) 3)))))) (* (sqrt (pow x 3)) (sqrt -1))))) |
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(+ (* 1/8 (/ eps x)) (* 1/2 x)) |
(+ (* 1/2 x) (* eps (+ (* 1/16 (/ eps (pow x 3))) (* 1/8 (/ 1 x))))) |
(+ (* 1/2 x) (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 5))) (* 1/16 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))) |
(+ (* -1/2 (/ eps x)) (* 2 x)) |
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(+ x (* -1/2 (/ eps x))) |
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
eps |
(+ (* -3/8 (/ eps x)) (* 1/2 x)) |
(+ (* 1/2 x) (* eps (- (* -1/16 (/ eps (pow x 3))) (* 3/8 (/ 1 x))))) |
(+ (* 1/2 x) (* eps (- (* eps (- (* -3/128 (/ eps (pow x 5))) (* 1/16 (/ 1 (pow x 3))))) (* 3/8 (/ 1 x))))) |
(* eps (+ (* eps (- (+ (* 1/8 (/ 1 (pow x 3))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2))))))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* 1/8 (/ 1 (pow x 3))) (* eps (- (+ (* 1/16 (/ 1 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/16 (/ 1 (pow x 5)))) (+ (* -3/2 (/ (- (+ (* 1/8 (/ 1 (pow x 3))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/4 (/ 1 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))))))))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* 1/8 (/ 1 (pow x 3))) (* eps (- (+ (* 1/16 (/ 1 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 1/16 (/ 1 (pow x 5))) (* eps (- (+ (* 1/32 (/ 1 (* (pow x 5) (+ (* 2 (pow x 2)) (pow x 2))))) (* 5/128 (/ 1 (pow x 7)))) (+ (* -3/2 (/ (- (+ (* 1/16 (/ 1 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/16 (/ 1 (pow x 5)))) (+ (* -3/2 (/ (- (+ (* 1/8 (/ 1 (pow x 3))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/4 (/ 1 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (+ (* 1/8 (/ 1 (pow x 3))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 9/64 (/ 1 (* (pow x 5) (+ (* 2 (pow x 2)) (pow x 2))))))))))) (+ (* -3/2 (/ (- (+ (* 1/8 (/ 1 (pow x 3))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/4 (/ 1 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))))))))) (* 1/2 (/ 1 x)))) |
(* 1/2 (/ (* eps (+ (* 2 (pow x 2)) (pow x 2))) x)) |
(* eps (+ (* 1/2 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* eps (- (* 1/8 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* 3/4 (/ 1 x)))))) |
(* eps (+ (* 1/2 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* eps (- (+ (* 1/8 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* eps (- (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 5))) (* 1/4 (/ 1 (pow x 3)))))) (* 3/4 (/ 1 x)))))) |
(* eps (+ (* 1/2 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* eps (- (+ (* 1/8 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* eps (- (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 5))) (* eps (- (* 5/128 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 7))) (* 9/64 (/ 1 (pow x 5)))))) (* 1/4 (/ 1 (pow x 3)))))) (* 3/4 (/ 1 x)))))) |
(+ (* 2 (pow x 2)) (pow x 2)) |
(+ (* -3/2 eps) (+ (* 2 (pow x 2)) (pow x 2))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)) (pow x 2))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)) (pow x 2))) |
(+ (* -3/2 eps) (* 2 (pow x 2))) |
(+ (* 2 (pow x 2)) (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2))) |
(+ (* 2 (pow x 2)) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2))) |
(/ (+ (* -1 (pow x 3)) (pow x 3)) (+ (* 2 (pow x 2)) (pow x 2))) |
(+ (* -1 (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* eps (- (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) |
(+ (* -1 (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* eps (- (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/8 (/ (+ (* -1 (pow x 3)) (pow x 3)) (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) |
(+ (* -1 (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* eps (- (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/8 (/ (+ (* -1 (pow x 3)) (pow x 3)) (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* -1/16 (/ (+ (* -1 (pow x 3)) (pow x 3)) (* (pow x 4) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/8 (/ (+ (* -1 (pow x 3)) (pow x 3)) (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) |
(+ (* -1 (pow x 3)) (pow x 3)) |
(+ (* -1 (pow x 3)) (+ (* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3))) |
(+ (* -1 (pow x 3)) (+ (* eps (+ (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) (pow x 3))) |
(+ (* -1 (pow x 3)) (+ (* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))) (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))))))) (pow x 3))) |
(+ (* -1 (pow x 3)) (* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3)))) |
(+ (* -1 (pow x 3)) (* eps (+ (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))) |
(+ (* -1 (pow x 3)) (* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))) (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3)))))))) |
(* -1 (* (pow 1 1/4) (sqrt (pow x 3)))) |
(- (* 3/4 (* (pow 1 1/4) (* eps (sqrt (/ 1 x))))) (* (pow 1 1/4) (sqrt (pow x 3)))) |
(- (* eps (- (* -1 (* (pow 1 1/4) (* (* eps (+ (* 1/8 (+ (* -1 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 12))) (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 6))))) (* 9/32 (/ 1 (pow x 4))))) (sqrt (pow x 3))))) (* -3/4 (* (pow 1 1/4) (sqrt (/ 1 x)))))) (* (pow 1 1/4) (sqrt (pow x 3)))) |
(- (* eps (- (* eps (- (* -1 (* (pow 1 1/4) (* (* eps (- (+ (* -3/32 (/ (+ (* -1 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 12))) (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 6)))) (pow x 2))) (* 1/24 (- (+ (* -6 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 2 (pow x 2)) (pow x 2))) (pow x 12))) (* 2 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 3) (pow x 18)))) (* 6 (/ 1 (pow x 6)))))) (* 9/128 (/ 1 (pow x 6))))) (sqrt (pow x 3))))) (* (pow 1 1/4) (* (sqrt (pow x 3)) (+ (* 1/8 (+ (* -1 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 12))) (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 6))))) (* 9/32 (/ 1 (pow x 4)))))))) (* -3/4 (* (pow 1 1/4) (sqrt (/ 1 x)))))) (* (pow 1 1/4) (sqrt (pow x 3)))) |
(* (pow 1 1/4) (sqrt (pow x 3))) |
(+ (* -3/4 (* (pow 1 1/4) (* eps (sqrt (/ 1 x))))) (* (pow 1 1/4) (sqrt (pow x 3)))) |
(+ (* eps (+ (* -3/4 (* (pow 1 1/4) (sqrt (/ 1 x)))) (* (pow 1 1/4) (* (* eps (+ (* 1/8 (+ (* -1 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 12))) (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 6))))) (* 9/32 (/ 1 (pow x 4))))) (sqrt (pow x 3)))))) (* (pow 1 1/4) (sqrt (pow x 3)))) |
(+ (* eps (+ (* -3/4 (* (pow 1 1/4) (sqrt (/ 1 x)))) (* eps (+ (* (pow 1 1/4) (* (sqrt (pow x 3)) (+ (* 1/8 (+ (* -1 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 12))) (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 6))))) (* 9/32 (/ 1 (pow x 4)))))) (* (pow 1 1/4) (* (* eps (- (+ (* -3/32 (/ (+ (* -1 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 12))) (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 6)))) (pow x 2))) (* 1/24 (- (+ (* -6 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 2 (pow x 2)) (pow x 2))) (pow x 12))) (* 2 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 3) (pow x 18)))) (* 6 (/ 1 (pow x 6)))))) (* 9/128 (/ 1 (pow x 6))))) (sqrt (pow x 3)))))))) (* (pow 1 1/4) (sqrt (pow x 3)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2))))) |
(/ (+ (* -1 (/ (pow x 3) (pow (sqrt -1) 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) eps) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (pow x 3) (pow (sqrt -1) 2))) eps) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 5)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ (pow x 3) (pow (sqrt -1) 2))))) eps) |
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* eps (- (/ (pow x 2) eps) 1)) |
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* -1 (/ x (pow (sqrt -1) 2)))) |
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (pow eps 2))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (* -1 (/ x (pow (sqrt -1) 2)))) |
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1))))) (sqrt -1)))) (* 1/2 (/ (* eps (* (pow x 2) (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) (pow eps 3))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))))) |
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (- (/ 1 eps) (/ 1 (pow x 2)))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (/ x eps))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps))))) |
(* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) |
(* (pow eps 2) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (* x (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) eps)))) |
(* (pow eps 2) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (sqrt -1)))) (+ (* -1/2 (/ (pow x 3) (pow eps 2))) (+ (* 2 (/ (pow x 3) (pow eps 2))) (/ (* x (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) eps))))))) |
(* (pow eps 2) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (sqrt -1)))) (+ (* -1/2 (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* 2 (/ (pow x 3) (pow eps 2))) (/ (* x (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) eps))))))))) |
(* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) |
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1)) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1)) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1)) |
(* eps (- (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)) 1)) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) 1)) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) 1)) |
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))))) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 2 (/ (* (pow x 2) (- (+ (* -1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (/ (pow x 3) (pow eps 2))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1))))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))))))) |
(* -1 (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps))))))) |
(- (* 1/4 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 2 (pow x 2)) (pow x 2))) eps)) (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps))))))) |
(- (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -2 (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (pow eps 2))) (+ (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (* -1/4 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 2 (pow x 2)) (pow x 2))) eps)))) |
(- (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* -1/32 (* (+ (* -2 (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/384 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (* 1/24 (+ (* -6 (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -6 (pow x 6)) (* -2 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))))))) (pow eps 3))) (+ (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 2 (pow x 2)) (pow x 2))) eps)) (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -2 (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (pow eps 2))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) |
(+ (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (* -1/4 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 2 (pow x 2)) (pow x 2))) eps))) |
(+ (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 2 (pow x 2)) (pow x 2))) eps)) (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -2 (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (pow eps 2)))) |
(+ (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 2 (pow x 2)) (pow x 2))) eps)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* -1/32 (* (+ (* -2 (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/384 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (* 1/24 (+ (* -6 (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -6 (pow x 6)) (* -2 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))))))) (pow eps 3)) (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -2 (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (pow eps 2))))) |
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt eps) (sqrt -1))) |
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (* -1/2 (* (pow eps 2) (pow x 3)))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) eps)) (* (sqrt eps) (sqrt -1))) |
(* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) |
(* -1 (/ (+ (* -1 (pow x 3)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1))))) (* -1 (* eps (pow x 3)))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1))))))))) (* -1/2 (* eps (pow x 5)))) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))))) eps)) (* -1 (* eps (pow x 3)))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps)) |
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) |
(+ (* -1 (/ (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (+ (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))))))))))) (* -1/2 (* (pow x 2) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1))) |
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (/ 1 (pow x 2)) (/ 1 eps)))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1))))) eps))) eps))))) |
(* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (+ (* -2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* x (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) eps)))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (+ (* -2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (* (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))) (+ (* -1/2 (pow x 3)) (* 2 (pow x 3)))) eps)) (* x (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) eps)))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (+ (* -2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1))))) eps)) (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (* (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))) (+ (* -1/2 (pow x 3)) (* 2 (pow x 3))))) eps)) (* x (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) eps)))) |
(* -1 (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ 1 (+ (* -2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (+ (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (+ (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (/ (pow x 3) (pow eps 2))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (pow eps 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (pow eps 3))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2)))))))) |
(- (* 1/4 (* (pow (/ -1 eps) 1/4) (+ (* 2 (pow x 2)) (pow x 2)))) (pow (* -1 (pow eps 3)) 1/4)) |
(- (* -1 (/ (- (* (pow (/ -1 eps) 1/4) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4))))))) (* 1/4 (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 2 (pow x 2)) (pow x 2))))) eps)) (pow (* -1 (pow eps 3)) 1/4)) |
(- (* -1 (/ (- (* -1 (/ (- (* (pow (/ -1 eps) 1/4) (+ (* 1/384 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (+ (* 1/32 (* (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4)))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/24 (+ (* -6 (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* 2 (pow x 4)) (pow x 4)))) (+ (* 2 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (* 6 (pow x 6)))))))) (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4)))))))) eps)) (* 1/4 (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 2 (pow x 2)) (pow x 2))))) eps)) (pow (* -1 (pow eps 3)) 1/4)) |
(+ (* -1/4 (* (pow (/ -1 eps) 1/4) (+ (* 2 (pow x 2)) (pow x 2)))) (pow (* -1 (pow eps 3)) 1/4)) |
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 eps) 1/4) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4)))))))) (* 1/4 (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 2 (pow x 2)) (pow x 2))))) eps)) (pow (* -1 (pow eps 3)) 1/4)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 eps) 1/4) (+ (* 1/384 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (+ (* 1/32 (* (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4)))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/24 (+ (* -6 (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* 2 (pow x 4)) (pow x 4)))) (+ (* 2 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (* 6 (pow x 6))))))))) (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4)))))))) eps)) (* 1/4 (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 2 (pow x 2)) (pow x 2))))) eps)) (pow (* -1 (pow eps 3)) 1/4)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 70.0ms | x | @ | inf | ((- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (* x x) x (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (- (* x x) eps) eps (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) 1/2 (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (- (neg (/ eps (* x x))) -1) (* x x)) (- (neg (/ eps (* x x))) -1) (neg (/ eps (* x x))) (/ eps (* x x)) -1 (/ (* (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps)))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (* (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps)))) (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (+ (* (* x x) x) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (+ (* (* x x) x) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4))) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4)) (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4) 3/4) |
| 54.0ms | eps | @ | -inf | ((- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (* x x) x (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (- (* x x) eps) eps (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) 1/2 (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (- (neg (/ eps (* x x))) -1) (* x x)) (- (neg (/ eps (* x x))) -1) (neg (/ eps (* x x))) (/ eps (* x x)) -1 (/ (* (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps)))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (* (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps)))) (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (+ (* (* x x) x) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (+ (* (* x x) x) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4))) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4)) (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4) 3/4) |
| 41.0ms | eps | @ | inf | ((- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (* x x) x (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (- (* x x) eps) eps (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) 1/2 (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (- (neg (/ eps (* x x))) -1) (* x x)) (- (neg (/ eps (* x x))) -1) (neg (/ eps (* x x))) (/ eps (* x x)) -1 (/ (* (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps)))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (* (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps)))) (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (+ (* (* x x) x) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (+ (* (* x x) x) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4))) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4)) (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4) 3/4) |
| 22.0ms | eps | @ | 0 | ((- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (* x x) x (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (- (* x x) eps) eps (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) 1/2 (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (- (neg (/ eps (* x x))) -1) (* x x)) (- (neg (/ eps (* x x))) -1) (neg (/ eps (* x x))) (/ eps (* x x)) -1 (/ (* (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps)))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (* (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps)))) (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (+ (* (* x x) x) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (+ (* (* x x) x) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4))) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4)) (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4) 3/4) |
| 17.0ms | x | @ | 0 | ((- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (* x x) x (+ (sqrt (- (* x x) eps)) x) (sqrt (- (* x x) eps)) (- (* x x) eps) eps (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x)) (- x (sqrt (- (* x x) eps))) (* (/ 1/2 x) eps) (/ 1/2 x) 1/2 (- x (sqrt (- (* x x) eps))) (sqrt (- (* x x) eps)) (- (* x x) eps) (* (- (neg (/ eps (* x x))) -1) (* x x)) (- (neg (/ eps (* x x))) -1) (neg (/ eps (* x x))) (/ eps (* x x)) -1 (/ (* (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps)))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (* (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps)))) (+ (* x (+ (sqrt (- (* x x) eps)) x)) (- (* x x) eps)) (- x (sqrt (- (* x x) eps))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)) (/ (+ (* (* x x) x) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4))) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (+ (* (* x x) x) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4))) (* (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4)) (neg (pow (- (* x x) eps) 3/4)) (pow (- (* x x) eps) 3/4) 3/4) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2040 | 14025 |
| 1 | 7312 | 13706 |
| 0 | 8691 | 13034 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt eps) (/ 1 (sqrt -1))) |
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1)))) |
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1)))) |
(* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))) |
(* (pow x 2) (+ (* -1 (/ x (* eps (pow (sqrt -1) 2)))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))) |
(* (pow x 2) (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))) |
(* (pow x 2) (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* (pow eps 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))) |
(pow x 2) |
x |
(* (sqrt eps) (sqrt -1)) |
(+ x (* (sqrt eps) (sqrt -1))) |
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5))))))))) |
(* -1 eps) |
(- (pow x 2) eps) |
(* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) |
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2))) |
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (+ (* x (- (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))) |
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (+ (* x (- (+ (* -1 (* x (+ (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* (sqrt (/ 1 eps)) (/ (- (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt eps) (sqrt -1))) |
(- x (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(- (* x (+ 1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
(* 1/2 (/ eps x)) |
(/ 1/2 x) |
(+ (* -1 eps) (pow x 2)) |
(* -1 (/ eps (pow x 2))) |
(/ (- (pow x 2) eps) (pow x 2)) |
(/ eps (pow x 2)) |
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (- (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (pow (sqrt -1) 2)))) |
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (- (+ (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (* x (- (* -1 (/ (+ (* -2 (* (sqrt eps) (sqrt -1))) (+ (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1)))) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (pow (sqrt -1) 2))))) (* 2 (* (sqrt (/ 1 eps)) (sqrt -1))))))) (pow (sqrt -1) 2)))) |
(+ (* -1 (* (sqrt eps) (sqrt -1))) (* x (- (+ (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (pow (sqrt -1) 2)) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* -1 (/ (+ (* -2 (* (sqrt eps) (sqrt -1))) (+ (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1)))) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (pow (sqrt -1) 2))))) (* 2 (* (sqrt (/ 1 eps)) (sqrt -1)))))))) (* 3/2 (/ 1 eps)))))) (* -1 (/ (+ (* -2 (* (sqrt eps) (sqrt -1))) (+ (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1)))) eps))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* -1 (/ (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2)))) eps)) (pow (sqrt -1) 2))))) (* 2 (* (sqrt (/ 1 eps)) (sqrt -1))))))) (pow (sqrt -1) 2)))) |
(* (sqrt (pow eps 3)) (sqrt -1)) |
(+ (* x (+ (* -1 eps) (* -1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(+ (* x (+ (* -1 eps) (+ (* -1 (* eps (pow (sqrt -1) 2))) (* x (+ (* -2 (* (sqrt eps) (sqrt -1))) (+ (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1)))))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(+ (* x (+ (* -1 eps) (+ (* -1 (* eps (pow (sqrt -1) 2))) (* x (+ x (+ (* -2 (* (sqrt eps) (sqrt -1))) (+ (* 1/2 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt eps) (sqrt -1))))))))) (* (sqrt (pow eps 3)) (sqrt -1))) |
(- (* (sqrt eps) (* x (sqrt -1))) eps) |
(- (* x (+ (* 2 x) (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ (* x (+ 2 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ x (* (sqrt eps) (sqrt -1)))) eps) |
(- (* x (+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1)))) eps) |
(+ (* x (pow (sqrt -1) 2)) (* (sqrt eps) (sqrt -1))) |
(+ (* x (- (* x (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -2 (/ (pow (sqrt -1) 2) eps)) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))))) (* 1/2 (/ 1 eps)))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))) (+ (* -2 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (* (sqrt (/ 1 eps)) (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))) (* (sqrt eps) (sqrt -1))) |
(* -1 (* (sqrt (pow eps 3)) (sqrt -1))) |
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))) (sqrt -1))))) |
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* (pow x 2) (+ x (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))))) |
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* x (+ 1 (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1))))))))) |
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1))))))) |
(+ (* -1 (* (sqrt (pow eps 3)) (sqrt -1))) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (sqrt -1)))) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- 1 (* 1/2 (/ (* (+ (* 2 (pow eps 2)) (pow eps 2)) (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2)))))) (* (pow eps 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (- (+ (* -2 eps) (* -1 eps)) (* 1/4 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (* (pow eps 3) (pow (sqrt -1) 2))))) (sqrt -1))))))))) |
(* -1 (pow (* -1 (pow eps 3)) 1/4)) |
(- (* 1/4 (* (pow (/ -1 (pow eps 9)) 1/4) (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))))) (pow (* -1 (pow eps 3)) 1/4)) |
(- (* (pow x 2) (- (* -1 (* (pow (* -1 (pow eps 3)) 1/4) (* (pow x 2) (+ (* 1/96 (+ (* -24 (/ (+ (* -2 eps) (* -1 eps)) (pow eps 3))) (* -12 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))) (* 1/32 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))))) (* -1/4 (* (pow (/ -1 (pow eps 9)) 1/4) (+ (* 2 (pow eps 2)) (pow eps 2)))))) (pow (* -1 (pow eps 3)) 1/4)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow (* -1 (pow eps 3)) 1/4) (* (pow x 2) (+ (* -1/384 (/ (* (+ (* -24 (/ (+ (* -2 eps) (* -1 eps)) (pow eps 3))) (* -12 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6)))) (+ (* 2 (pow eps 2)) (pow eps 2))) (pow eps 3))) (+ (* -1/384 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 3) (pow eps 9))) (* 1/2880 (- (+ (* -720 (/ (* (+ (* -2 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (pow eps 2))) (pow eps 6))) (* -240 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 3) (pow eps 9)))) (* 720 (/ 1 (pow eps 3)))))))))) (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 1/96 (+ (* -24 (/ (+ (* -2 eps) (* -1 eps)) (pow eps 3))) (* -12 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))) (* 1/32 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))))) (* -1/4 (* (pow (/ -1 (pow eps 9)) 1/4) (+ (* 2 (pow eps 2)) (pow eps 2)))))) (pow (* -1 (pow eps 3)) 1/4)) |
(pow (* -1 (pow eps 3)) 1/4) |
(+ (* -1/4 (* (pow (/ -1 (pow eps 9)) 1/4) (* (pow x 2) (+ (* 2 (pow eps 2)) (pow eps 2))))) (pow (* -1 (pow eps 3)) 1/4)) |
(+ (* (pow x 2) (+ (* -1/4 (* (pow (/ -1 (pow eps 9)) 1/4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* (pow (* -1 (pow eps 3)) 1/4) (* (pow x 2) (+ (* 1/96 (+ (* -24 (/ (+ (* -2 eps) (* -1 eps)) (pow eps 3))) (* -12 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))) (* 1/32 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6)))))))) (pow (* -1 (pow eps 3)) 1/4)) |
(+ (* (pow x 2) (+ (* -1/4 (* (pow (/ -1 (pow eps 9)) 1/4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* (pow x 2) (+ (* (pow (* -1 (pow eps 3)) 1/4) (* (pow x 2) (+ (* -1/384 (/ (* (+ (* -24 (/ (+ (* -2 eps) (* -1 eps)) (pow eps 3))) (* -12 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6)))) (+ (* 2 (pow eps 2)) (pow eps 2))) (pow eps 3))) (+ (* -1/384 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 3) (pow eps 9))) (* 1/2880 (- (+ (* -720 (/ (* (+ (* -2 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (pow eps 2))) (pow eps 6))) (* -240 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 3) (pow eps 9)))) (* 720 (/ 1 (pow eps 3))))))))) (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 1/96 (+ (* -24 (/ (+ (* -2 eps) (* -1 eps)) (pow eps 3))) (* -12 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))) (* 1/32 (/ (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2) (pow eps 6))))))))) (pow (* -1 (pow eps 3)) 1/4)) |
(/ (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) x) |
(/ (- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (* 1/2 eps)) (* -1/8 (/ (pow eps 2) (pow x 2)))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/32 (pow eps 4)) (* -1/128 (pow eps 4))) (pow x 6))) (* 1/2 eps)) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/8 (/ eps (pow x 2))))) |
(* x (- (+ 1/2 (* 1/16 (/ (pow eps 2) (pow x 4)))) (* -1/8 (/ eps (pow x 2))))) |
(* x (- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow eps 3)) (* -1/128 (pow eps 3))) (pow x 6)))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/16 (/ (pow eps 2) (pow x 4)))))) |
(* 2 x) |
(* x (+ 2 (* -1/2 (/ eps (pow x 2))))) |
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* x (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* x (+ 1 (* -1/2 (/ eps (pow x 2))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))) |
(* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6))))))) |
(* (pow x 2) (+ 1 (* -1 (/ eps (pow x 2))))) |
(* x (- (+ 1/2 (* -1/2 (/ eps (pow x 2)))) (* -1/8 (/ eps (pow x 2))))) |
(* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))) (pow x 4))) (* -1/2 (/ eps (pow x 2))))) (* -1/8 (/ eps (pow x 2))))) |
(* x (- (+ 1/2 (+ (* -1 (/ (+ (* -1/16 (* (pow eps 2) (- (* -1/2 eps) (* -1/8 eps)))) (+ (* -1/64 (pow eps 3)) (* 1/4 (* eps (+ (* -1/4 (* eps (- (* -1/2 eps) (* -1/8 eps)))) (* -1/32 (pow eps 2))))))) (pow x 6))) (* -1/2 (/ eps (pow x 2))))) (+ (* -1/4 (/ (* eps (- (* -1/2 eps) (* -1/8 eps))) (pow x 4))) (+ (* -1/8 (/ eps (pow x 2))) (* -1/32 (/ (pow eps 2) (pow x 4))))))) |
(/ (- (* 1/8 (/ (pow eps 2) (pow x 2))) (* -1/2 eps)) x) |
(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x) |
1 |
(+ 1 (* -1 (/ eps (pow x 2)))) |
(* 3/2 (* eps x)) |
(* x (+ (* 3/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 (/ (* eps (- (* -1/2 eps) eps)) (pow x 2))) (* 3/2 eps)))) |
(* x (+ (* -1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (* (pow eps 2) (- (* -1/2 eps) eps)) (pow x 4))) (+ (* 3/16 (/ (pow eps 3) (pow x 4))) (+ (* 3/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 (/ (* eps (- (* -1/2 eps) eps)) (pow x 2))) (* 3/2 eps))))))) |
(* x (+ (* -1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/32 (/ (pow eps 4) (pow x 6))) (+ (* -1/64 (/ (pow eps 4) (pow x 6))) (+ (* 1/16 (/ (* (pow eps 3) (- (* -1/2 eps) eps)) (pow x 6))) (+ (* 1/8 (/ (* (pow eps 2) (- (* -1/2 eps) eps)) (pow x 4))) (+ (* 3/16 (/ (pow eps 3) (pow x 4))) (+ (* 3/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 (/ (* eps (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 3/2 eps) (* 3/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))))))))))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- (+ 3 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 3 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- (+ 2 (* -1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))) (/ eps (pow x 2)))) |
(* -1/6 (/ (+ (* -2 eps) (* -1 eps)) x)) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))) (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2)))) x) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4)))))) x) |
(/ (- (+ (* -1/6 (+ (* -2 eps) (* -1 eps))) (+ (* -1/6 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/6 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/6 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6)))))) (+ (* -1/18 (/ (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps)) (pow x 2))) (+ (* -1/24 (/ (* (pow eps 2) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 6))) (+ (* 1/288 (/ (* (pow eps 3) (+ (* -2 eps) (* -1 eps))) (pow x 6))) (+ (* 1/144 (/ (* (pow eps 2) (+ (* -2 eps) (* -1 eps))) (pow x 4))) (+ (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) (+ (* 1/144 (* (pow eps 2) (+ (* -2 eps) (* -1 eps)))) (* 1/3 (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))))))) (pow x 6))) (* 1/3 (/ (* (- (* -1/2 eps) eps) (- (* -1/6 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* -1/18 (* (+ (* -2 eps) (* -1 eps)) (- (* -1/2 eps) eps))))) (pow x 4))))))))) x) |
(* -1/2 (* x (+ (* -2 eps) (* -1 eps)))) |
(* x (+ (* -1/2 (+ (* -2 eps) (* -1 eps))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))))) |
(* x (+ (* -1/2 (+ (* -2 eps) (* -1 eps))) (+ (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2)))))) |
(* x (+ (* -1/2 (+ (* -2 eps) (* -1 eps))) (+ (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 4))) (+ (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 2))) (* 1/2 (/ (+ (* 1/4 (pow (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) 2)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))))))))) (pow x 6))))))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 1)) |
(* (pow x 3) (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))) 1)) |
(* (pow x 3) (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))) 1)) |
(* -1 (sqrt (pow x 3))) |
(- (* -1/4 (* (sqrt (/ 1 x)) (+ (* -2 eps) (* -1 eps)))) (sqrt (pow x 3))) |
(- (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2))))) (+ (sqrt (pow x 3)) (* 1/4 (* (sqrt (/ 1 x)) (+ (* -2 eps) (* -1 eps)))))) |
(- (* -1 (* (sqrt (/ 1 (pow x 9))) (+ (* 1/2880 (+ (* -720 (* (+ (* -2 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -720 (pow eps 3)) (* 240 (pow (+ (* -2 eps) (* -1 eps)) 3))))) (+ (* 1/384 (* (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -2 eps) (* -1 eps)))) (* 1/384 (pow (+ (* -2 eps) (* -1 eps)) 3)))))) (+ (sqrt (pow x 3)) (+ (* 1/4 (* (sqrt (/ 1 x)) (+ (* -2 eps) (* -1 eps)))) (* (sqrt (/ 1 (pow x 5))) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2))))))) |
(sqrt (pow x 3)) |
(+ (sqrt (pow x 3)) (* 1/4 (* (sqrt (/ 1 x)) (+ (* -2 eps) (* -1 eps))))) |
(+ (sqrt (pow x 3)) (+ (* 1/4 (* (sqrt (/ 1 x)) (+ (* -2 eps) (* -1 eps)))) (* (sqrt (/ 1 (pow x 5))) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) |
(+ (sqrt (pow x 3)) (+ (* 1/4 (* (sqrt (/ 1 x)) (+ (* -2 eps) (* -1 eps)))) (+ (* (sqrt (/ 1 (pow x 5))) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (* (sqrt (/ 1 (pow x 9))) (+ (* 1/2880 (+ (* -720 (* (+ (* -2 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -720 (pow eps 3)) (* 240 (pow (+ (* -2 eps) (* -1 eps)) 3))))) (+ (* 1/384 (* (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -2 eps) (* -1 eps)))) (* 1/384 (pow (+ (* -2 eps) (* -1 eps)) 3)))))))) |
(* -1 (* x (- (* 1/2 (/ eps (pow x 2))) 2))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) |
(* -1 (* x (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) eps)) (+ (* -1/4 (* eps (+ (* -1/4 (pow eps 2)) (* 1/8 (pow eps 2))))) (* 1/16 (pow eps 3)))) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (* 1/8 (/ (pow eps 2) (pow x 4))))))))) |
(* 2 (/ (pow x 3) eps)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/4 eps) (* 1/8 eps)) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 1/8 eps)))) (* 1/16 (pow eps 2)))) (pow x 6))) (* 1/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 1/8 (/ eps (pow x 4))) (* 2 (/ 1 eps))))))) |
(* -1 (/ (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2)))) x)) |
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4))))) x)) |
(* -1 (/ (+ (* -1/2 eps) (+ (* -1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6))) (+ (* -1/8 (/ (pow eps 2) (pow x 2))) (* -1/16 (/ (pow eps 3) (pow x 4)))))) x)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1/2 (/ eps (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4))))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/8 (/ (pow eps 2) (pow x 4))) (* -1/16 (/ (pow eps 3) (pow x 6)))))))) |
(* -1 (* (pow x 3) (- (* 5/2 (/ 1 (pow x 2))) (* 2 (/ 1 eps))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/4 eps) (* 5/8 eps)) (pow x 4))) (* 5/2 (/ 1 (pow x 2)))) (* 2 (/ 1 eps))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow eps 2))) (+ (* -1/4 (* eps (+ (* -1/4 eps) (* 5/8 eps)))) (* 5/16 (pow eps 2)))) (pow x 6))) (* 5/2 (/ 1 (pow x 2)))) (+ (* -1/4 (/ eps (pow x 4))) (+ (* 5/8 (/ eps (pow x 4))) (* 2 (/ 1 eps))))))) |
(* -1 (* x (- (* 1/8 (/ (pow eps 2) (pow x 4))) (+ 2 (* -1/2 (/ eps (pow x 2))))))) |
(* -1 (* x (- (* 1/16 (/ (pow eps 3) (pow x 6))) (+ 2 (+ (* -1/2 (/ eps (pow x 2))) (* -1/8 (/ (pow eps 2) (pow x 4)))))))) |
(* -1 (* x (- (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))) 2))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1/8 (pow eps 3)) (* -1/16 (pow eps 3))) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) 2))) |
(* 2 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1/2 eps) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) 2))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/2 eps) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (* -1 (/ (+ (* -1/2 (* eps (- (* 1/2 eps) eps))) (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4)))) 2))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/2 eps) (* 2 (- (* 1/2 eps) eps))) (pow x 2))) (+ (* -1 (/ (+ (* -1/2 (* eps (- (* 1/2 eps) eps))) (+ (* -1/8 (pow eps 2)) (* 1/4 (pow eps 2)))) (pow x 4))) (* -1 (/ (+ (* -1/8 (* (pow eps 2) (- (* 1/2 eps) eps))) (+ (* -1/8 (pow eps 3)) (* 1/8 (pow eps 3)))) (pow x 6))))) 2))) |
(* (pow x 2) (- (+ 1 (* 1/2 (/ eps (pow x 2)))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2))))) (/ eps (pow x 2)))) |
(* (pow x 2) (- (+ 1 (+ (* 1/16 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (pow eps 2) (pow x 4))) (* 1/2 (/ eps (pow x 2)))))) (/ eps (pow x 2)))) |
(- (* 1/2 eps) eps) |
(- (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps)) eps) |
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (* 1/2 eps))) eps) |
(- (+ (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* 1/8 (/ (pow eps 2) (pow x 2))) (+ (* 1/2 eps) (* 1/2 (/ (+ (* 1/64 (pow eps 4)) (* 1/16 (pow eps 4))) (pow x 6)))))) eps) |
(* -1 (* x (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ 2 (* -2 (/ (- (* 1/2 eps) eps) (pow x 2))))))) |
(* -1 (* x (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))) (+ 2 (+ (* -2 (/ (- (* 1/2 eps) eps) (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (/ (* (- (* -1/2 (+ (* -2 eps) (* -1 eps))) (* -2 (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps)) (pow x 4)))))))) |
(* -1 (* x (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))) (+ 2 (+ (* -2 (/ (- (* 1/2 eps) eps) (pow x 2))) (+ (* -1/4 (/ (pow eps 2) (pow x 4))) (+ (* -1/8 (/ (pow eps 3) (pow x 6))) (+ (* 1/8 (/ (* (pow eps 2) (- (* -1/2 (+ (* -2 eps) (* -1 eps))) (* -2 (- (* 1/2 eps) eps)))) (pow x 6))) (+ (/ (* (- (* -1/2 (+ (* -2 eps) (* -1 eps))) (* -2 (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps)) (pow x 4)) (/ (* (- (* -1/2 (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))) (+ (* -1/4 (pow eps 2)) (* (- (* -1/2 (+ (* -2 eps) (* -1 eps))) (* -2 (- (* 1/2 eps) eps))) (- (* 1/2 eps) eps)))) (- (* 1/2 eps) eps)) (pow x 6))))))))))) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 2))) |
(* -1 (* (pow x 3) (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))) 2))) |
(* -1 (* (pow x 3) (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))) 2))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) 1))) |
(* -1 (* (pow x 3) (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4)))) 1))) |
(* -1 (* (pow x 3) (- (+ (* -1/2 (/ (+ (* -2 eps) (* -1 eps)) (pow x 2))) (+ (* -1/2 (/ (- (* -1 (pow eps 3)) (* 1/2 (* (+ (* -2 eps) (* -1 eps)) (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (pow x 6))) (* -1/2 (/ (- (+ (* 2 (pow eps 2)) (pow eps 2)) (* 1/4 (pow (+ (* -2 eps) (* -1 eps)) 2))) (pow x 4))))) 1))) |
(* -1 (* (sqrt (pow x 3)) (sqrt -1))) |
(- (* -1/4 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 eps) (* -1 eps))))) (* (sqrt (pow x 3)) (sqrt -1))) |
(- (* -1 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2)))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 eps) (* -1 eps))))) (* (sqrt (pow x 3)) (sqrt -1)))) |
(- (* -1 (* (sqrt (/ 1 (pow x 9))) (* (sqrt -1) (+ (* 1/2880 (+ (* -720 (* (+ (* -2 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -720 (pow eps 3)) (* 240 (pow (+ (* -2 eps) (* -1 eps)) 3))))) (+ (* 1/384 (* (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -2 eps) (* -1 eps)))) (* 1/384 (pow (+ (* -2 eps) (* -1 eps)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 eps) (* -1 eps))))) (+ (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2))))) (* (sqrt (pow x 3)) (sqrt -1))))) |
(* (sqrt (pow x 3)) (sqrt -1)) |
(+ (* 1/4 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 eps) (* -1 eps))))) (* (sqrt (pow x 3)) (sqrt -1))) |
(+ (* 1/4 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 eps) (* -1 eps))))) (+ (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2))))) (* (sqrt (pow x 3)) (sqrt -1)))) |
(+ (* 1/4 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2 eps) (* -1 eps))))) (+ (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (+ (* 1/96 (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2))))) (* 1/32 (pow (+ (* -2 eps) (* -1 eps)) 2))))) (+ (* (sqrt (/ 1 (pow x 9))) (* (sqrt -1) (+ (* 1/2880 (+ (* -720 (* (+ (* -2 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -720 (pow eps 3)) (* 240 (pow (+ (* -2 eps) (* -1 eps)) 3))))) (+ (* 1/384 (* (+ (* -12 (pow (+ (* -2 eps) (* -1 eps)) 2)) (* 24 (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -2 eps) (* -1 eps)))) (* 1/384 (pow (+ (* -2 eps) (* -1 eps)) 3)))))) (* (sqrt (pow x 3)) (sqrt -1))))) |
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* 1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 7))) (* 1/16 (/ 1 (pow x 5))))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))) |
(+ (* 1/8 (/ eps x)) (* 1/2 x)) |
(+ (* 1/2 x) (* eps (+ (* 1/16 (/ eps (pow x 3))) (* 1/8 (/ 1 x))))) |
(+ (* 1/2 x) (* eps (+ (* eps (+ (* 5/128 (/ eps (pow x 5))) (* 1/16 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))) |
(+ (* -1/2 (/ eps x)) (* 2 x)) |
(+ (* 2 x) (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ (* 2 x) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(+ x (* -1/2 (/ eps x))) |
(+ x (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* eps (- (* eps (- (* -1/16 (/ eps (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
eps |
(+ (* -3/8 (/ eps x)) (* 1/2 x)) |
(+ (* 1/2 x) (* eps (- (* -1/16 (/ eps (pow x 3))) (* 3/8 (/ 1 x))))) |
(+ (* 1/2 x) (* eps (- (* eps (- (* -3/128 (/ eps (pow x 5))) (* 1/16 (/ 1 (pow x 3))))) (* 3/8 (/ 1 x))))) |
(* eps (+ (* eps (- (+ (* 1/8 (/ 1 (pow x 3))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2))))))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* 1/8 (/ 1 (pow x 3))) (* eps (- (+ (* 1/16 (/ 1 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/16 (/ 1 (pow x 5)))) (+ (* -3/2 (/ (- (+ (* 1/8 (/ 1 (pow x 3))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/4 (/ 1 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))))))))) (* 1/2 (/ 1 x)))) |
(* eps (+ (* eps (+ (* 1/8 (/ 1 (pow x 3))) (* eps (- (+ (* 1/16 (/ 1 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 1/16 (/ 1 (pow x 5))) (* eps (- (+ (* 1/32 (/ 1 (* (pow x 5) (+ (* 2 (pow x 2)) (pow x 2))))) (* 5/128 (/ 1 (pow x 7)))) (+ (* -3/2 (/ (- (+ (* 1/16 (/ 1 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/16 (/ 1 (pow x 5)))) (+ (* -3/2 (/ (- (+ (* 1/8 (/ 1 (pow x 3))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/4 (/ 1 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (+ (* 1/8 (/ 1 (pow x 3))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* 9/64 (/ 1 (* (pow x 5) (+ (* 2 (pow x 2)) (pow x 2))))))))))) (+ (* -3/2 (/ (- (+ (* 1/8 (/ 1 (pow x 3))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (* 3/4 (/ 1 (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/4 (/ 1 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))))))))) (* 1/2 (/ 1 x)))) |
(* 1/2 (/ (* eps (+ (* 2 (pow x 2)) (pow x 2))) x)) |
(* eps (+ (* 1/2 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* eps (- (* 1/8 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* 3/4 (/ 1 x)))))) |
(* eps (+ (* 1/2 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* eps (- (+ (* 1/8 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* eps (- (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 5))) (* 1/4 (/ 1 (pow x 3)))))) (* 3/4 (/ 1 x)))))) |
(* eps (+ (* 1/2 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* eps (- (+ (* 1/8 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* eps (- (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 5))) (* eps (- (* 5/128 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 7))) (* 9/64 (/ 1 (pow x 5)))))) (* 1/4 (/ 1 (pow x 3)))))) (* 3/4 (/ 1 x)))))) |
(+ (* 2 (pow x 2)) (pow x 2)) |
(+ (* -3/2 eps) (+ (* 2 (pow x 2)) (pow x 2))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2)) (pow x 2))) |
(+ (* 2 (pow x 2)) (+ (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2)) (pow x 2))) |
(+ (* -3/2 eps) (* 2 (pow x 2))) |
(+ (* 2 (pow x 2)) (* eps (- (* -1/8 (/ eps (pow x 2))) 3/2))) |
(+ (* 2 (pow x 2)) (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))) 3/2))) |
(/ (+ (* -1 (pow x 3)) (pow x 3)) (+ (* 2 (pow x 2)) (pow x 2))) |
(+ (* -1 (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* eps (- (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) |
(+ (* -1 (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* eps (- (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/8 (/ (+ (* -1 (pow x 3)) (pow x 3)) (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) |
(+ (* -1 (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* eps (- (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* eps (- (* 1/2 (/ (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* -3/2 (/ (- (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/8 (/ (+ (* -1 (pow x 3)) (pow x 3)) (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/8 (/ (- (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* (pow x 2) (+ (* 2 (pow x 2)) (pow x 2))))) (* -1/16 (/ (+ (* -1 (pow x 3)) (pow x 3)) (* (pow x 4) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))))) (+ (* -3/2 (/ (- (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/8 (/ (+ (* -1 (pow x 3)) (pow x 3)) (* (pow x 2) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (* -3/2 (/ (+ (* -1 (pow x 3)) (pow x 3)) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 2 (pow x 2)) (pow x 2))))) |
(+ (* -1 (pow x 3)) (pow x 3)) |
(+ (* -1 (pow x 3)) (+ (* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3))) (pow x 3))) |
(+ (* -1 (pow x 3)) (+ (* eps (+ (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))))) (pow x 3))) |
(+ (* -1 (pow x 3)) (+ (* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))) (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3))))))) (pow x 3))) |
(+ (* -1 (pow x 3)) (* -1/2 (/ (* eps (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (pow x 3)))) |
(+ (* -1 (pow x 3)) (* eps (+ (* -1/2 (/ (* eps (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 3))) (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3)))))) |
(+ (* -1 (pow x 3)) (* eps (+ (* -1/2 (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (pow x 3))) (* eps (+ (* -1/2 (/ (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6)))) (pow x 3))) (* 1/2 (/ (* eps (+ 1 (* 1/2 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (- (+ (* 2 (pow x 2)) (pow x 2)) (* 1/4 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 6))))) (pow x 6))))) (pow x 3)))))))) |
(* -1 (* (pow 1 1/4) (sqrt (pow x 3)))) |
(- (* 3/4 (* (pow 1 1/4) (* eps (sqrt (/ 1 x))))) (* (pow 1 1/4) (sqrt (pow x 3)))) |
(- (* eps (- (* -1 (* (pow 1 1/4) (* (* eps (+ (* 1/8 (+ (* -1 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 12))) (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 6))))) (* 9/32 (/ 1 (pow x 4))))) (sqrt (pow x 3))))) (* -3/4 (* (pow 1 1/4) (sqrt (/ 1 x)))))) (* (pow 1 1/4) (sqrt (pow x 3)))) |
(- (* eps (- (* eps (- (* -1 (* (pow 1 1/4) (* (* eps (- (+ (* -3/32 (/ (+ (* -1 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 12))) (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 6)))) (pow x 2))) (* 1/24 (- (+ (* -6 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 2 (pow x 2)) (pow x 2))) (pow x 12))) (* 2 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 3) (pow x 18)))) (* 6 (/ 1 (pow x 6)))))) (* 9/128 (/ 1 (pow x 6))))) (sqrt (pow x 3))))) (* (pow 1 1/4) (* (sqrt (pow x 3)) (+ (* 1/8 (+ (* -1 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 12))) (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 6))))) (* 9/32 (/ 1 (pow x 4)))))))) (* -3/4 (* (pow 1 1/4) (sqrt (/ 1 x)))))) (* (pow 1 1/4) (sqrt (pow x 3)))) |
(* (pow 1 1/4) (sqrt (pow x 3))) |
(+ (* -3/4 (* (pow 1 1/4) (* eps (sqrt (/ 1 x))))) (* (pow 1 1/4) (sqrt (pow x 3)))) |
(+ (* eps (+ (* -3/4 (* (pow 1 1/4) (sqrt (/ 1 x)))) (* (pow 1 1/4) (* (* eps (+ (* 1/8 (+ (* -1 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 12))) (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 6))))) (* 9/32 (/ 1 (pow x 4))))) (sqrt (pow x 3)))))) (* (pow 1 1/4) (sqrt (pow x 3)))) |
(+ (* eps (+ (* -3/4 (* (pow 1 1/4) (sqrt (/ 1 x)))) (* eps (+ (* (pow 1 1/4) (* (sqrt (pow x 3)) (+ (* 1/8 (+ (* -1 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 12))) (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 6))))) (* 9/32 (/ 1 (pow x 4)))))) (* (pow 1 1/4) (* (* eps (- (+ (* -3/32 (/ (+ (* -1 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 2) (pow x 12))) (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 6)))) (pow x 2))) (* 1/24 (- (+ (* -6 (/ (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 2 (pow x 2)) (pow x 2))) (pow x 12))) (* 2 (/ (pow (+ (* -2 (pow x 4)) (* -1 (pow x 4))) 3) (pow x 18)))) (* 6 (/ 1 (pow x 6)))))) (* 9/128 (/ 1 (pow x 6))))) (sqrt (pow x 3)))))))) (* (pow 1 1/4) (sqrt (pow x 3)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 3)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (/ x (pow (sqrt -1) 2))))) |
(/ (+ (* -1 (/ (pow x 3) (pow (sqrt -1) 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) eps) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (pow x 3) (pow (sqrt -1) 2))) eps) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 5)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ (pow x 3) (pow (sqrt -1) 2))))) eps) |
(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* eps (- (/ (pow x 2) eps) 1)) |
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* -1 (/ x (pow (sqrt -1) 2)))) |
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (pow eps 2))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (* -1 (/ x (pow (sqrt -1) 2)))) |
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1))))) (sqrt -1)))) (* 1/2 (/ (* eps (* (pow x 2) (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) (pow eps 3))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))))) |
(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* eps (- (/ 1 eps) (/ 1 (pow x 2)))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (/ x eps))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps))))) |
(* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) |
(* (pow eps 2) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (* x (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) eps)))) |
(* (pow eps 2) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (sqrt -1)))) (+ (* -1/2 (/ (pow x 3) (pow eps 2))) (+ (* 2 (/ (pow x 3) (pow eps 2))) (/ (* x (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) eps))))))) |
(* (pow eps 2) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (sqrt -1)))) (+ (* -1/2 (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* 2 (/ (pow x 3) (pow eps 2))) (/ (* x (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) eps))))))))) |
(* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) |
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1)) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1)) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1)) |
(* eps (- (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)) 1)) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) 1)) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) 1)) |
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))))) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 2 (/ (* (pow x 2) (- (+ (* -1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (/ (pow x 3) (pow eps 2))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (/ (pow x 3) (pow eps 2))))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1))))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (pow eps 7))) (/ (- (pow x 6) (* 1/4 (/ (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))))))) |
(* -1 (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps))))))) |
(- (* 1/4 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 2 (pow x 2)) (pow x 2))) eps)) (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps))))))) |
(- (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -2 (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (pow eps 2))) (+ (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (* -1/4 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 2 (pow x 2)) (pow x 2))) eps)))) |
(- (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* -1/32 (* (+ (* -2 (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/384 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (* 1/24 (+ (* -6 (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -6 (pow x 6)) (* -2 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))))))) (pow eps 3))) (+ (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 2 (pow x 2)) (pow x 2))) eps)) (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -2 (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (pow eps 2))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) |
(+ (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (* -1/4 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 2 (pow x 2)) (pow x 2))) eps))) |
(+ (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 2 (pow x 2)) (pow x 2))) eps)) (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -2 (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (pow eps 2)))) |
(+ (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* -1/4 (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 2 (pow x 2)) (pow x 2))) eps)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* -1/32 (* (+ (* -2 (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1/384 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (* 1/24 (+ (* -6 (* (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -6 (pow x 6)) (* -2 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)))))))) (pow eps 3)) (/ (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ 1 eps)))))) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -2 (+ (* -2 (pow x 4)) (* -1 (pow x 4)))) (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))) (pow eps 2))))) |
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt eps) (sqrt -1))) |
(- (* -1 (/ (+ (* -1 (* eps x)) (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1))))))))) (* -1/2 (* (pow eps 2) (pow x 3)))) eps)) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))))) eps))) eps)) (* (sqrt eps) (sqrt -1))) |
(* -1 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) |
(* -1 (/ (+ (* -1 (pow x 3)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1))))) (* -1 (* eps (pow x 3)))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1))))))))) (* -1/2 (* eps (pow x 5)))) (+ (* -1 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 4) (sqrt -1)))))) eps)) (* -1 (* eps (pow x 3)))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) eps)) |
(* -1 (* eps (+ (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1 (/ (+ x (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(* -1 (* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (* (pow x 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))))) |
(* -1 (* eps (+ 1 (* -1 (/ (pow x 2) eps))))) |
(+ (* -1 (/ (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (+ (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 eps)) (* x (* (sqrt -1) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x))))))))))) (* -1/2 (* (pow x 2) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))) (+ (* 1/2 (* (sqrt (pow eps 3)) (* (pow x 2) (sqrt -1)))) (* (sqrt eps) (* x (* (sqrt -1) (- (* (sqrt eps) (* (pow x 2) (sqrt -1))) (* -1 (* eps x)))))))) eps)) (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* -1 (* eps x))) eps)) (* (sqrt eps) (sqrt -1))) |
(* -1 (* eps (- (* -1 (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1))))) eps))) eps)) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(* -1 (* eps (- (/ 1 (pow x 2)) (/ 1 eps)))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ x eps))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* 1/2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1))))) eps))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 eps)) (* (pow x 4) (sqrt -1))))) eps))) eps))))) |
(* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (+ (* -2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (* x (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) eps)))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (+ (* -2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (* (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))) (+ (* -1/2 (pow x 3)) (* 2 (pow x 3)))) eps)) (* x (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) eps)))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (+ (* -2 (* (sqrt (/ 1 eps)) (* (pow x 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (* (pow x 4) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 4) (sqrt -1))))) eps)) (+ (* -1/2 (* (sqrt eps) (* (pow x 2) (* (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))) (+ (* -1/2 (pow x 3)) (* 2 (pow x 3))))) eps)) (* x (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) eps)))) |
(* -1 (* eps (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ 1 (+ (* -2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (* 2 (pow x 2))) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 eps)) (* (pow x 3) (sqrt -1)))) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* -1 (* eps (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 eps)) (* (pow x 5) (sqrt -1)))) (* 1/2 (* (sqrt eps) (* (pow x 3) (sqrt -1))))) eps)) (pow x 2)) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) |
(* (sqrt eps) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) |
(* -1 (* eps (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2)))) (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (+ (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (+ (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (/ (pow x 3) (pow eps 2))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (pow eps 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))))) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (pow eps 3))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2)))))))) |
(- (* 1/4 (* (pow (/ -1 eps) 1/4) (+ (* 2 (pow x 2)) (pow x 2)))) (pow (* -1 (pow eps 3)) 1/4)) |
(- (* -1 (/ (- (* (pow (/ -1 eps) 1/4) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4))))))) (* 1/4 (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 2 (pow x 2)) (pow x 2))))) eps)) (pow (* -1 (pow eps 3)) 1/4)) |
(- (* -1 (/ (- (* -1 (/ (- (* (pow (/ -1 eps) 1/4) (+ (* 1/384 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (+ (* 1/32 (* (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4)))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/24 (+ (* -6 (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* 2 (pow x 4)) (pow x 4)))) (+ (* 2 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (* 6 (pow x 6)))))))) (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4)))))))) eps)) (* 1/4 (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 2 (pow x 2)) (pow x 2))))) eps)) (pow (* -1 (pow eps 3)) 1/4)) |
(+ (* -1/4 (* (pow (/ -1 eps) 1/4) (+ (* 2 (pow x 2)) (pow x 2)))) (pow (* -1 (pow eps 3)) 1/4)) |
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 eps) 1/4) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4)))))))) (* 1/4 (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 2 (pow x 2)) (pow x 2))))) eps)) (pow (* -1 (pow eps 3)) 1/4)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 eps) 1/4) (+ (* 1/384 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (+ (* 1/32 (* (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4)))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/24 (+ (* -6 (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* 2 (pow x 4)) (pow x 4)))) (+ (* 2 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (* 6 (pow x 6))))))))) (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4)))))))) eps)) (* 1/4 (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 2 (pow x 2)) (pow x 2))))) eps)) (pow (* -1 (pow eps 3)) 1/4)) |
| Outputs |
|---|
(* (sqrt eps) (/ 1 (sqrt -1))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)) |
(+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt eps) (/ 1 (sqrt -1)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps) (/.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1)))) |
(fma.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))) #s(literal -1 binary64)) x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))) |
(+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt eps) (/ 1 (sqrt -1)))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))) x) #s(literal -1 binary64)) x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))) |
(* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))) |
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) |
(* (pow x 2) (+ (* -1 (/ x (* eps (pow (sqrt -1) 2)))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x)) |
(* (pow x 2) (+ (* x (- (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x)) |
(* (pow x 2) (+ (* x (- (* x (- (* x (- (* 1/2 (/ 1 (* (pow eps 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 eps)) (/ (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* eps (pow (sqrt -1) 2))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) x) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
x |
(* (sqrt eps) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)) |
(+ x (* (sqrt eps) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) x) |
(+ (* x (+ 1 (* 1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) #s(literal 1 binary64)) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(+ (* x (+ 1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))))))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64))))) x #s(literal 1 binary64)) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* (sqrt eps) (sqrt -1))) |
(fma.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64))))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(+ (* (sqrt eps) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow eps 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 2) (pow (sqrt -1) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))) (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(* -1 eps) |
(neg.f64 eps) |
(- (pow x 2) eps) |
(-.f64 (*.f64 x x) eps) |
(* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps))) |
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (/ x (pow (sqrt -1) 2))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal -1 binary64))) |
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (+ (* x (- (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))) x #s(literal -1 binary64)) x (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))) |
(+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* x (+ (* x (- (+ (* -1 (* x (+ (* 1/2 (/ 1 (* eps (pow (sqrt -1) 4)))) (* (sqrt (/ 1 eps)) (/ (- (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (* (sqrt (/ 1 eps)) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 eps)) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) eps))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64))))) x #s(literal -1 binary64)) x (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))) |
(* -1 (* (sqrt eps) (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(- x (* (sqrt eps) (sqrt -1))) |
(-.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps))) |
(- (* x (+ 1 (* -1/2 (* (sqrt (/ 1 eps)) (/ x (sqrt -1)))))) (* (sqrt eps) (sqrt -1))) |
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(/ (+ (* -1 (/ (pow x 3) (pow (sqrt -1) 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) eps) |
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(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3))))) (pow eps 2))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (/ (pow x 3) (pow (sqrt -1) 2))) eps) |
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(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (pow eps 3)) (/ (pow x 4) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow eps 2) (pow x 5)) (pow (sqrt -1) 4)))) (pow eps 3))) (* (sqrt eps) (/ (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 eps)) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ (pow x 3) (pow (sqrt -1) 2))))) eps) |
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(* eps (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)) eps) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps))) eps) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (sqrt -1)) (/ x eps))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 x eps)))) eps) |
(* eps (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps) |
(* eps (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow eps 7))) (/ (pow x 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) eps) |
(* eps (- (/ (pow x 2) eps) 1)) |
(*.f64 (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) eps) |
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1)))) (* -1 (/ x (pow (sqrt -1) 2)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 eps)))) (/.f64 (neg.f64 x) #s(literal -1 binary64))) |
(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))) (pow eps 2))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (* -1 (/ x (pow (sqrt -1) 2)))) |
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(- (+ (* -1 (* (sqrt eps) (/ 1 (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt eps) (/ (* x (+ (* -1/2 (* (sqrt (pow eps 3)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt eps) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1))))) (sqrt -1)))) (* 1/2 (/ (* eps (* (pow x 2) (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2)))))) (pow (sqrt -1) 2)))) (pow eps 3))) (* (sqrt (/ 1 eps)) (/ (pow x 2) (sqrt -1))))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 eps)) (/ (pow x 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (pow eps 3))) (/ (* x (- (* (sqrt eps) (/ (pow x 2) (sqrt -1))) (* -1 (/ (* eps x) (pow (sqrt -1) 2))))) (sqrt -1)))))) |
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(* eps (- (/ x eps) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) eps) |
(* eps (- (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)) (* (sqrt (/ 1 eps)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps) |
(* eps (- (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps)) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (* (sqrt (/ 1 eps)) (sqrt -1))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 x eps)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) eps) |
(* eps (- (/ 1 eps) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (*.f64 x x))) eps) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (/ x eps))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 x eps)) eps) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (/ x eps)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 x eps))) eps) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (pow (sqrt -1) 3)))) (/ x eps))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 x eps)))) eps) |
(* -1 (* (sqrt (pow eps 3)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) |
(* (pow eps 2) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (/ (* x (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) eps)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) eps) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (sqrt -1)))) (+ (* -1/2 (/ (pow x 3) (pow eps 2))) (+ (* 2 (/ (pow x 3) (pow eps 2))) (/ (* x (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) eps))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3/2 binary64)) (*.f64 eps eps)) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) eps)))))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (* (pow x 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) (sqrt -1)))) (+ (* -1/2 (/ (pow x 3) (pow eps 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 4) (sqrt -1)))) (+ (* 2 (/ (pow x 3) (pow eps 2))) (/ (* x (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) eps))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) eps) (*.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps))))))))) (*.f64 eps eps)) |
(* eps (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) eps) |
(* eps (- (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 1)) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)) eps) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1))))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))) eps) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* 2 (/ (pow x 2) eps)) (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))) eps) |
(* eps (- (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)) 1)) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64))) eps) |
(* eps (- (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps))) 1)) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)))) eps) |
(* eps (- (+ (* -1/8 (* (sqrt (/ 1 (pow eps 5))) (/ (pow x 5) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (pow x 3) (sqrt -1)))) (+ (* (sqrt (/ 1 eps)) (* x (sqrt -1))) (/ (pow x 2) eps)))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (*.f64 x x) eps) #s(literal 1 binary64))))) eps) |
(* -1 (* (sqrt eps) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) |
(neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) |
(* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (* 2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))) eps) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64))))) eps) |
(* eps (- (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (* (pow eps 2) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))))) (+ (* -2 (* (sqrt (/ 1 (pow eps 3))) (/ (* (pow x 2) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* -1/2 (/ (pow x 3) (* (pow eps 2) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2)))) (+ (* 2 (/ (* (pow x 2) (- (+ (* -1/2 (* (sqrt eps) (/ (+ (* 2 (pow x 2)) (pow x 2)) (* (sqrt -1) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))))) (/ (pow x 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1))) (+ (* -1/2 (/ (pow x 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 2))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))) (* (pow eps 3) (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1)))) (+ (* 4 (* (sqrt (/ 1 (pow eps 5))) (/ (* (pow x 4) (sqrt -1)) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3)))) (/ (pow x 5) (* (pow eps 3) (pow (- (* (sqrt (/ 1 eps)) (* x (sqrt -1))) 1) 3))))))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))))) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 eps)) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) eps) #s(literal 3 binary64)))))))) eps) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (/ (pow x 3) (pow eps 2))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps eps)))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 5))) (/ (+ (* -2 (pow x 4)) (* -1 (pow x 4))) (sqrt -1)))) (/ (pow x 3) (pow eps 2)))))) |
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(* -1 (* eps (+ (* -1 (* (sqrt (/ 1 eps)) (/ (sqrt -1) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* 2 (/ (* (pow x 2) (- (+ (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3))))))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))))) (/ (pow x 5) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))) eps)) (+ (* -1/2 (* (sqrt eps) (/ (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (/ (pow x 3) (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1))))))) (+ (* -1/2 (/ (pow x 3) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))) (* 4 (* (sqrt (/ 1 eps)) (/ (* (pow x 4) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 3)))))) eps)) (* -2 (* (sqrt (/ 1 eps)) (/ (* (pow x 2) (sqrt -1)) (pow (+ 1 (* (sqrt (/ 1 eps)) (* x (sqrt -1)))) 2))))) eps))))) |
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(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (/ (pow x 3) (pow eps 2))))) |
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(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (/ (pow x 3) (pow eps 2)))))) |
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(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (pow eps 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (/ (pow x 3) (pow eps 2)))))) |
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(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))))) |
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(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/2 (* (sqrt (/ 1 (pow eps 5))) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4)))))))) |
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(* (pow eps 2) (+ (* -1 (* (sqrt (/ 1 eps)) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt eps) (* (sqrt -1) (+ (* 2 (pow x 4)) (pow x 4))))) (* 1/2 (* (sqrt (/ 1 eps)) (* (sqrt -1) (- (pow x 6) (* -1/4 (* eps (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))))))) (pow eps 3))) (* -1/2 (* (sqrt (/ 1 (pow eps 3))) (* (sqrt -1) (+ (* 2 (pow x 2)) (pow x 2)))))))) |
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(- (* 1/4 (* (pow (/ -1 eps) 1/4) (+ (* 2 (pow x 2)) (pow x 2)))) (pow (* -1 (pow eps 3)) 1/4)) |
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(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 eps) 1/4) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4)))))))) (* 1/4 (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 2 (pow x 2)) (pow x 2))))) eps)) (pow (* -1 (pow eps 3)) 1/4)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64)) (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (neg.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/32 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) eps) #s(literal -1 binary64) (pow.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 eps) 1/4) (+ (* 1/384 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (+ (* 1/32 (* (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4)))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/24 (+ (* -6 (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* 2 (pow x 4)) (pow x 4)))) (+ (* 2 (pow (+ (* 2 (pow x 2)) (pow x 2)) 3)) (* 6 (pow x 6))))))))) (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 1/32 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 1/8 (+ (* -1 (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (* 2 (+ (* 2 (pow x 4)) (pow x 4)))))))) eps)) (* 1/4 (* (pow (* -1 (pow eps 3)) 1/4) (+ (* 2 (pow x 2)) (pow x 2))))) eps)) (pow (* -1 (pow eps 3)) 1/4)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (neg.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/32 binary64))) (pow.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/384 binary64) (fma.f64 (*.f64 #s(literal 1/32 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) (neg.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -6 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 6 binary64)))) #s(literal 1/24 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) eps))) eps) #s(literal -1 binary64) (pow.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 398 |
| 0 | 67 | 357 |
| 1 | 256 | 281 |
| 0 | 2158 | 281 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(*.f64 x x) |
x |
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(-.f64 (*.f64 x x) eps) |
eps |
(/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))))) |
(sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x)))) |
#s(approx (- (* x x) eps) (*.f64 (-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))) |
(*.f64 (-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x)) |
(-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 eps (*.f64 x x))) |
(/.f64 eps (*.f64 x x)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))) |
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(fma.f64 (*.f64 x x) x (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) |
(neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) |
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)) |
#s(literal 3/4 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (*.f64 x x) eps))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps) (-.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps))) |
(*.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)) |
(*.f64 (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps))) |
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps))) (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (-.f64 (*.f64 x x) eps))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps))) (fma.f64 (-.f64 (*.f64 x x) eps) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps))) (*.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)) (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)) (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)) (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)) (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)) (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (*.f64 x x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) (neg.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (-.f64 (*.f64 x x) eps)) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (neg.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 (*.f64 x x) eps))) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (neg.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps) (*.f64 (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))))) (*.f64 (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(/.f64 (*.f64 (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 2 binary64))))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps) (fma.f64 (-.f64 (*.f64 x x) eps) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (*.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) (*.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (-.f64 (*.f64 x x) eps)) (-.f64 (*.f64 x (+.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) eps))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (*.f64 (fma.f64 (-.f64 (*.f64 x x) eps) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64))) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (-.f64 (*.f64 x x) eps))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 (-.f64 (*.f64 x x) eps) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) (pow.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 9 binary64))) (+.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64)))) (pow.f64 x #s(literal 6 binary64)))) |
(fma.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) |
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64)) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 x) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) |
(fma.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (-.f64 (*.f64 x x) eps) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps))) |
(fma.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x))) |
(fma.f64 (-.f64 (*.f64 x x) eps) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(fma.f64 (*.f64 x x) x (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) |
(fma.f64 x (*.f64 x x) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) |
(-.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(-.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (*.f64 (neg.f64 x) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (-.f64 (*.f64 x x) eps) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (*.f64 (-.f64 (*.f64 x x) eps) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) |
(+.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps))) |
(+.f64 (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x x) eps)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (neg.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) #s(literal 3 binary64)))) (pow.f64 x #s(literal 6 binary64))))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) |
(+.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64)) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)))) |
(neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64)) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64)))) |
(neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64))) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64))) (fabs.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64))) |
(pow.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) eps))) #s(literal 3/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 2 binary64)) #s(literal 3/8 binary64)) |
(pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)) |
(neg.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) #s(literal 3/4 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) #s(literal 3/4 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) #s(literal 3/4 binary64)))) |
#s(literal 3/4 binary64) |
Compiled 73 540 to 5 447 computations (92.6% saved)
21 alts after pruning (14 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 377 | 6 | 1 383 |
| Fresh | 14 | 8 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 393 | 21 | 1 414 |
| Status | Accuracy | Program |
|---|---|---|
| 62.6% | (/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) | |
| 56.9% | (/.f64 (-.f64 (*.f64 x x) #s(approx (- (* x x) eps) (neg.f64 eps))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x)) | |
| 48.5% | (/.f64 (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps))) | |
| 62.9% | (/.f64 (*.f64 (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) | |
| 34.3% | (/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) x)) #s(approx (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (fma.f64 #s(literal -3/2 binary64) eps (*.f64 (*.f64 x x) #s(literal 3 binary64))))) | |
| 34.2% | (/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 #s(approx (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) (*.f64 #s(literal 3/2 binary64) eps)) x)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) | |
| 35.4% | (/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) #s(approx (* (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) x) (*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 eps x) (*.f64 #s(literal 3/2 binary64) x)) eps))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) | |
| ✓ | 62.6% | (-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
| 59.7% | (-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (/.f64 (-.f64 (*.f64 x x) eps) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) | |
| ✓ | 25.0% | (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))))) |
| ✓ | 57.3% | (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
| ✓ | 62.9% | (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) |
| ✓ | 7.5% | (-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))) |
| ✓ | 3.6% | (-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
| 99.5% | (+.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) | |
| 43.3% | #s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (*.f64 (/.f64 (*.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64))) | |
| 42.5% | #s(approx (- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) eps)) x)) | |
| 43.5% | #s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) | |
| 38.2% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) | |
| ✓ | 43.4% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) |
| 41.7% | #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps)) |
Compiled 2 599 to 661 computations (74.6% saved)
| Inputs |
|---|
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))) |
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) |
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))) |
#s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (*.f64 (/.f64 (*.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)))) |
(/.f64 (-.f64 (*.f64 x x) #s(approx (- (* x x) eps) (neg.f64 eps))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x)) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps)) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) eps)) x)) |
#s(approx (- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) eps)) x)) |
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 #s(approx (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) (*.f64 #s(literal 3/2 binary64) eps)) x)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (*.f64 (*.f64 eps #s(literal -3 binary64)) x) #s(literal -1/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) #s(approx (* (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) x) (*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 eps x) (*.f64 #s(literal 3/2 binary64) x)) eps))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) x)) #s(approx (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (fma.f64 #s(literal -3/2 binary64) eps (*.f64 (*.f64 x x) #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (/.f64 (-.f64 (*.f64 x x) eps) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps))) |
(/.f64 (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(+.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) x)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(/.f64 (*.f64 (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))) eps)) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 x x) eps) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(-.f64 x (*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)))) (fma.f64 x x (-.f64 (*.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64))) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/4 binary64)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (/.f64 (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x)) x) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) eps))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (+.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) eps)) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (-.f64 (*.f64 x (+.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) eps))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (+.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) eps)) (*.f64 (-.f64 (*.f64 x (+.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) eps) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) (*.f64 (-.f64 (*.f64 x (+.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) eps) (-.f64 (*.f64 x (+.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) eps))) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))) eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps))) (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (pow.f64 (-.f64 (*.f64 x x) eps) #s(literal 3/2 binary64)))) (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)))) |
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (*.f64 eps eps) x) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))) x)) |
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (*.f64 (/.f64 eps x) #s(literal -1/8 binary64)) (/.f64 eps x) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))) x)) |
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 eps #s(literal -3 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 eps #s(literal -3 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 eps #s(literal -3 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 eps #s(literal -3 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)))))) x)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 9 binary64) (*.f64 eps eps)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) eps) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 9 binary64) (*.f64 eps eps)))))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) eps) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 9 binary64) (*.f64 eps eps)))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 3 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 9 binary64) (*.f64 eps eps)))) (*.f64 x x)))))) x)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
| Outputs |
|---|
(+.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
3 calls:
| 32.0ms | eps |
| 17.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 99.5% | 1 | x |
| 99.5% | 1 | eps |
Compiled 10 to 10 computations (0% saved)
| Inputs |
|---|
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))) |
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) |
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))) |
#s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (*.f64 (/.f64 (*.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)))) |
(/.f64 (-.f64 (*.f64 x x) #s(approx (- (* x x) eps) (neg.f64 eps))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x)) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps)) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) eps (/.f64 #s(literal 1/2 binary64) x)) eps)) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (-.f64 (neg.f64 (/.f64 eps (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) eps)) x)) |
#s(approx (- (/ (* x x) (+ (sqrt (- (* x x) eps)) x)) (/ (- (* x x) eps) (+ (sqrt (- (* x x) eps)) x))) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) (/.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) eps)) x)) |
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 #s(approx (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) (*.f64 #s(literal 3/2 binary64) eps)) x)) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (*.f64 (*.f64 eps #s(literal -3 binary64)) x) #s(literal -1/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) #s(approx (* (+ (* (/ (+ (* 3 (* eps eps)) (* -1/4 (* (* eps eps) 9))) (* x x)) -1/2) (* -1/2 (* eps -3))) x) (*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 eps x) (*.f64 #s(literal 3/2 binary64) x)) eps))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 #s(approx (- (pow x 3) (pow (- (* x x) eps) 3/2)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal 9 binary64)))) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -3 binary64)))) x)) #s(approx (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps))) (fma.f64 #s(literal -3/2 binary64) eps (*.f64 (*.f64 x x) #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (*.f64 (/.f64 (-.f64 (*.f64 x x) eps) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x x))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (-.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) x) eps))) |
(/.f64 (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x) (-.f64 (*.f64 x x) eps)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (fma.f64 x x (fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x (-.f64 (*.f64 x x) eps)))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps)) |
3 calls:
| 9.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 7.0ms | x |
| 7.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 87.1% | 2 | x |
| 80.9% | 2 | eps |
Compiled 10 to 10 computations (0% saved)
| Inputs |
|---|
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))) |
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) |
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))) |
#s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (*.f64 (/.f64 (*.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (*.f64 (fma.f64 x (/.f64 x eps) #s(literal -1 binary64)) eps)))) |
(/.f64 (-.f64 (*.f64 x x) #s(approx (- (* x x) eps) (neg.f64 eps))) (+.f64 (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps))) x)) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))) |
1 calls:
| 3.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))) |
#s(approx (- x (sqrt (- (* x x) eps))) (/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) |
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x))) |
#s(approx (/ (- (pow x 3) (pow (- (* x x) eps) 3/2)) (+ (* x x) (+ (* (sqrt (- (* x x) eps)) x) (- (* x x) eps)))) (*.f64 (/.f64 (*.f64 eps #s(literal -3 binary64)) x) #s(literal -1/6 binary64))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))) |
1 calls:
| 2.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 2 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
#s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)) |
1 calls:
| 2.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 2 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
3 calls:
| 3.0ms | eps |
| 1.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.3% | 1 | eps |
| 57.3% | 1 | x |
| 57.3% | 1 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 10 to 10 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
| Outputs |
|---|
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
3 calls:
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.6% | 1 | eps |
| 3.6% | 1 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 3.6% | 1 | x |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.810861770982662e-153 | 0.0 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.810861770982662e-153 | 0.0 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.810861770982662e-153 | 0.0 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.810861770982662e-153 | 0.0 |
Compiled 11 to 11 computations (0% saved)
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 247 |
| 1 | 90 | 223 |
| 2 | 169 | 221 |
| 3 | 417 | 221 |
| 4 | 1094 | 217 |
| 5 | 2937 | 213 |
| 6 | 4908 | 213 |
| 7 | 5888 | 213 |
| 8 | 6915 | 213 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
| Outputs |
|---|
(+.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) (/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))) |
(/.f64 eps (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (- (* x x) eps) (fma.f64 x x (neg.f64 eps)))))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 #s(approx (+ (* (/ 1/8 (pow x 3)) eps) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)) eps))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (* (+ (* x (/ x eps)) -1) eps) (fma.f64 x x (neg.f64 eps)))))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) #s(approx (- (* x x) eps) (fma.f64 x x (neg.f64 eps)))))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) #s(approx (- x (sqrt (- (* x x) eps))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps))) |
(-.f64 x (sqrt.f64 #s(approx (- (* x x) eps) (neg.f64 eps)))) |
(-.f64 x #s(approx (sqrt (- (* x x) eps)) (neg.f64 x))) |
| 1× | fuel |
Compiled 213 to 52 computations (75.6% saved)
Compiled 462 to 130 computations (71.9% saved)
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