
Time bar (total: 37.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 1 |
Compiled 107 to 33 computations (69.2% saved)
ival-pi: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-fabs: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)ival->=: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 4.4s | 8256× | 0 | valid |
ival-mult: 2.0s (50% of total)ival-div: 690.0ms (17.6% of total)ival-pi: 383.0ms (9.8% of total)ival-add: 309.0ms (7.9% of total)ival-sqrt: 152.0ms (3.9% of total)ival-fabs: 137.0ms (3.5% of total)ival-exp: 128.0ms (3.3% of total)ival->=: 91.0ms (2.3% of total)const: 62.0ms (1.6% of total)backward-pass: 5.0ms (0.1% of total)| 2× | egg-herbie |
| 3024× | /-lowering-/.f32 |
| 3024× | /-lowering-/.f64 |
| 3016× | *-lowering-*.f32 |
| 3016× | *-lowering-*.f64 |
| 1920× | sum3-define |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 229 |
| 1 | 220 | 142 |
| 2 | 547 | 106 |
| 3 | 2477 | 96 |
| 0 | 34 | 76 |
| 1 | 95 | 47 |
| 2 | 343 | 35 |
| 3 | 1451 | 31 |
| 4 | 3973 | 31 |
| 5 | 6187 | 30 |
| 6 | 7725 | 30 |
| 0 | 8057 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) |
| Outputs |
|---|
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))))) |
| Inputs |
|---|
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) |
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs (neg x)) (fabs (neg x))))) (+ (+ (+ (/ 1 (fabs (neg x))) (* (/ 1 2) (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x))))))) |
(neg (* (* (/ 1 (sqrt (PI))) (exp (* (fabs (neg x)) (fabs (neg x))))) (+ (+ (+ (/ 1 (fabs (neg x))) (* (/ 1 2) (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))))) |
| Outputs |
|---|
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) |
(* (rsqrt (PI)) (* (pow (exp x) x) (fma 15/8 (pow (recip (fabs x)) 7) (fma 1/2 (recip (pow (fabs x) 3)) (fma 3/4 (pow (recip (fabs x)) 5) (recip (fabs x))))))) |
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs (neg x)) (fabs (neg x))))) (+ (+ (+ (/ 1 (fabs (neg x))) (* (/ 1 2) (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x))))))) |
(* (rsqrt (PI)) (* (pow (exp x) x) (fma 15/8 (pow (recip (fabs x)) 7) (fma 1/2 (recip (pow (fabs x) 3)) (fma 3/4 (pow (recip (fabs x)) 5) (recip (fabs x))))))) |
(neg (* (* (/ 1 (sqrt (PI))) (exp (* (fabs (neg x)) (fabs (neg x))))) (+ (+ (+ (/ 1 (fabs (neg x))) (* (/ 1 2) (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs (neg x))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))) (/ 1 (fabs (neg x)))))))) |
(* (* (rsqrt (PI)) (pow (exp x) x)) (fnmsub 15/8 (pow (recip (fabs x)) 7) (fma 1/2 (recip (pow (fabs x) 3)) (fma 3/4 (pow (recip (fabs x)) 5) (recip (fabs x)))))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 2 | (9.87930149539957) | (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (PI.f64)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) |
| 0 | 0 | - | 0 | - | (fabs.f64 x) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (fabs.f64 x) (fabs.f64 x)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| 0 | 0 | - | 0 | - | #s(literal 15 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (fabs.f64 x)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| 465.0ms | 512× | 0 | valid |
Compiled 1174 to 95 computations (91.9% saved)
ival-mult: 102.0ms (51.7% of total)ival-div: 44.0ms (22.3% of total)ival-add: 17.0ms (8.6% of total)ival-sqrt: 9.0ms (4.6% of total)ival-pi: 8.0ms (4.1% of total)ival-exp: 7.0ms (3.5% of total)ival-fabs: 6.0ms (3% of total)const: 4.0ms (2% of total)backward-pass: 0.0ms (0% of total)Compiled 35 to 20 computations (42.9% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))))) |
| ▶ | 99.9% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
Compiled 139 to 51 computations (63.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) |
| ✓ | cost-diff | 256 | (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))))) |
| ✓ | cost-diff | 39424 | (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| ✓ | cost-diff | 52736 | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
| ✓ | cost-diff | 99328 | (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
| ✓ | cost-diff | 112384 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
| 3464× | *-lowering-*.f32 |
| 3464× | *-lowering-*.f64 |
| 2688× | +-lowering-+.f64 |
| 2688× | +-lowering-+.f32 |
| 1374× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 593 |
| 1 | 147 | 392 |
| 2 | 631 | 318 |
| 3 | 2588 | 302 |
| 4 | 6274 | 302 |
| 0 | 8034 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) |
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) |
(/ 1 (sqrt (PI))) |
1 |
(sqrt (PI)) |
(PI) |
(exp (* (fabs x) (fabs x))) |
(* (fabs x) (fabs x)) |
(fabs x) |
x |
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) |
(+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) |
(+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) |
(/ 1 (fabs x)) |
(* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) |
(/ 1 2) |
2 |
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) |
(* (/ 1 (fabs x)) (/ 1 (fabs x))) |
(* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) |
(/ 3 4) |
3 |
4 |
(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) |
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) |
(* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) |
(/ 15 8) |
15 |
8 |
(* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) |
(* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) |
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))))) |
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) |
(/ (exp (* x x)) (sqrt (PI))) |
(exp (* x x)) |
(* x x) |
x |
(sqrt (PI)) |
(PI) |
(fabs x) |
(+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))) |
1 |
(* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))) |
(/ 1 (* x x)) |
(+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))) |
1/2 |
(* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))) |
(+ 3/4 (/ 15/8 (* x x))) |
3/4 |
(/ 15/8 (* x x)) |
15/8 |
| Outputs |
|---|
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) |
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) |
(/ 1 (sqrt (PI))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) |
1 |
#s(literal 1 binary64) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(exp (* (fabs x) (fabs x))) |
(exp.f64 (*.f64 x x)) |
(* (fabs x) (fabs x)) |
(*.f64 x x) |
(fabs x) |
(fabs.f64 x) |
x |
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))))) |
(+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)) |
(/ 1 (fabs x)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (fabs.f64 x))) x) |
(/ 1 2) |
#s(literal 1/2 binary64) |
2 |
#s(literal 2 binary64) |
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fabs.f64 x)) x)) |
(* (/ 1 (fabs x)) (/ 1 (fabs x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) |
(/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (*.f64 (fabs.f64 x) (*.f64 x x))) |
(/ 3 4) |
#s(literal 3/4 binary64) |
3 |
#s(literal 3 binary64) |
4 |
#s(literal 4 binary64) |
(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fabs.f64 x)) x)) (*.f64 x x)) |
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) |
(* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) |
(/.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 (fabs.f64 x) (*.f64 x x))) |
(/ 15 8) |
#s(literal 15/8 binary64) |
15 |
#s(literal 15 binary64) |
8 |
#s(literal 8 binary64) |
(* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fabs.f64 x)) x)) (*.f64 x x)) (*.f64 x x)) |
(* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) |
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))))) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) |
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) |
(/ (exp (* x x)) (sqrt (PI))) |
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) |
(exp (* x x)) |
(exp.f64 (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
x |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(fabs x) |
(fabs.f64 x) |
(+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) |
1/2 |
#s(literal 1/2 binary64) |
(* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) |
3/4 |
#s(literal 3/4 binary64) |
(/ 15/8 (* x x)) |
(/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
15/8 |
#s(literal 15/8 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| 283.0ms | 256× | 0 | valid |
Compiled 692 to 47 computations (93.2% saved)
ival-mult: 66.0ms (46.2% of total)ival-div: 38.0ms (26.6% of total)ival-add: 17.0ms (11.9% of total)ival-exp: 10.0ms (7% of total)ival-sqrt: 5.0ms (3.5% of total)ival-fabs: 3.0ms (2.1% of total)const: 3.0ms (2.1% of total)ival-pi: 2.0ms (1.4% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))))> |
#<alt (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))> |
#<alt (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))> |
#<alt (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))> |
#<alt (* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))))> |
#<alt (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))))> |
#<alt (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))> |
#<alt (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))> |
#<alt (sqrt (PI))> |
#<alt (* (/ 1 (fabs x)) (/ 1 (fabs x)))> |
#<alt (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))> |
#<alt (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))> |
#<alt (/ 1 (* x x))> |
#<alt (/ 15/8 (* x x))> |
#<alt (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))> |
| Outputs |
|---|
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))> |
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))> |
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))> |
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))> |
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))> |
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))> |
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))> |
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))> |
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))> |
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))> |
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))> |
#<alt (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))> |
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))> |
#<alt (/ 15/8 (pow (fabs x) 7))> |
#<alt (/ 15/8 (pow (fabs x) 7))> |
#<alt (/ 15/8 (pow (fabs x) 7))> |
#<alt (/ 15/8 (pow (fabs x) 7))> |
#<alt (/ 15/8 (pow (fabs x) 7))> |
#<alt (/ 15/8 (pow (fabs x) 7))> |
#<alt (/ 15/8 (pow (fabs x) 7))> |
#<alt (/ 15/8 (pow (fabs x) 7))> |
#<alt (/ 15/8 (pow (fabs x) 7))> |
#<alt (/ 15/8 (pow (fabs x) 7))> |
#<alt (/ 15/8 (pow (fabs x) 7))> |
#<alt (/ 15/8 (pow (fabs x) 7))> |
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))> |
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))> |
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))))) (pow x 6))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))> |
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))> |
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))> |
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))> |
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))> |
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))> |
#<alt (+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))))> |
#<alt (/ 15/8 (pow x 6))> |
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 6))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ 1 (pow x 2))))> |
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ 1 (pow x 2))))> |
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))))> |
#<alt (/ 15/8 (pow x 6))> |
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (/ 15/8 (pow x 4))> |
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 4))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 4))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 3/4 (/ 1 (pow x 2))))> |
#<alt (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))> |
#<alt (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 3/4 (/ 1 (pow x 2))))> |
#<alt (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))> |
#<alt (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))> |
#<alt (/ 1 (pow (fabs x) 2))> |
#<alt (/ 1 (pow (fabs x) 2))> |
#<alt (/ 1 (pow (fabs x) 2))> |
#<alt (/ 1 (pow (fabs x) 2))> |
#<alt (/ 1 (pow (fabs x) 2))> |
#<alt (/ 1 (pow (fabs x) 2))> |
#<alt (/ 1 (pow (fabs x) 2))> |
#<alt (/ 1 (pow (fabs x) 2))> |
#<alt (/ 1 (pow (fabs x) 2))> |
#<alt (/ 1 (pow (fabs x) 2))> |
#<alt (/ 1 (pow (fabs x) 2))> |
#<alt (/ 1 (pow (fabs x) 2))> |
#<alt (/ 1 (pow (fabs x) 3))> |
#<alt (/ 1 (pow (fabs x) 3))> |
#<alt (/ 1 (pow (fabs x) 3))> |
#<alt (/ 1 (pow (fabs x) 3))> |
#<alt (/ 1 (pow (fabs x) 3))> |
#<alt (/ 1 (pow (fabs x) 3))> |
#<alt (/ 1 (pow (fabs x) 3))> |
#<alt (/ 1 (pow (fabs x) 3))> |
#<alt (/ 1 (pow (fabs x) 3))> |
#<alt (/ 1 (pow (fabs x) 3))> |
#<alt (/ 1 (pow (fabs x) 3))> |
#<alt (/ 1 (pow (fabs x) 3))> |
#<alt (/ 1 (pow (fabs x) 5))> |
#<alt (/ 1 (pow (fabs x) 5))> |
#<alt (/ 1 (pow (fabs x) 5))> |
#<alt (/ 1 (pow (fabs x) 5))> |
#<alt (/ 1 (pow (fabs x) 5))> |
#<alt (/ 1 (pow (fabs x) 5))> |
#<alt (/ 1 (pow (fabs x) 5))> |
#<alt (/ 1 (pow (fabs x) 5))> |
#<alt (/ 1 (pow (fabs x) 5))> |
#<alt (/ 1 (pow (fabs x) 5))> |
#<alt (/ 1 (pow (fabs x) 5))> |
#<alt (/ 1 (pow (fabs x) 5))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 15/8 (pow x 2))> |
#<alt (/ 15/8 (pow x 2))> |
#<alt (/ 15/8 (pow x 2))> |
#<alt (/ 15/8 (pow x 2))> |
#<alt (/ 15/8 (pow x 2))> |
#<alt (/ 15/8 (pow x 2))> |
#<alt (/ 15/8 (pow x 2))> |
#<alt (/ 15/8 (pow x 2))> |
#<alt (/ 15/8 (pow x 2))> |
#<alt (/ 15/8 (pow x 2))> |
#<alt (/ 15/8 (pow x 2))> |
#<alt (/ 15/8 (pow x 2))> |
#<alt (/ 15/8 (pow x 4))> |
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))> |
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))> |
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4))> |
#<alt (/ 3/4 (pow x 2))> |
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ 3/4 (pow x 2))> |
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | 0 | (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) |
| 21.0ms | x | @ | inf | (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) |
| 16.0ms | x | @ | -inf | (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) |
| 13.0ms | x | @ | -inf | (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) |
| 5.0ms | x | @ | inf | (* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))))) |
| 1× | batch-egg-rewrite |
| 3242× | *-lowering-*.f32 |
| 3242× | *-lowering-*.f64 |
| 2238× | /-lowering-/.f32 |
| 2238× | /-lowering-/.f64 |
| 2218× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 258 |
| 1 | 294 | 187 |
| 2 | 3333 | 164 |
| 0 | 8707 | 164 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) |
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) |
(+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) |
(* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))) |
(* (/ (/ (exp (* x x)) (sqrt (PI))) (fabs x)) (+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))))) |
(+ 1 (* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))))) |
(* (/ 1 (* x x)) (+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))))) |
(+ 1/2 (* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x))))) |
(sqrt (PI)) |
(* (/ 1 (fabs x)) (/ 1 (fabs x))) |
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) |
(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) |
(/ 1 (* x x)) |
(/ 15/8 (* x x)) |
(* (/ 1 (* x x)) (+ 3/4 (/ 15/8 (* x x)))) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x)))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 27/64 binary64) (/.f64 (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 9/16 binary64) (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64))))) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 27/64 binary64) (/.f64 (/.f64 #s(literal 3375/512 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 9/16 binary64) (*.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) #s(literal 3/4 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 225/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x) x) |
(/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))) |
(*.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (*.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
| 1× | egg-herbie |
| 4720× | *-lowering-*.f32 |
| 4720× | *-lowering-*.f64 |
| 2192× | +-lowering-+.f64 |
| 2192× | +-lowering-+.f32 |
| 1762× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 2206 |
| 1 | 320 | 2033 |
| 2 | 1075 | 1992 |
| 3 | 3736 | 1937 |
| 0 | 8521 | 1937 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) |
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) |
(/ 15/8 (pow (fabs x) 7)) |
(/ 15/8 (pow (fabs x) 7)) |
(/ 15/8 (pow (fabs x) 7)) |
(/ 15/8 (pow (fabs x) 7)) |
(/ 15/8 (pow (fabs x) 7)) |
(/ 15/8 (pow (fabs x) 7)) |
(/ 15/8 (pow (fabs x) 7)) |
(/ 15/8 (pow (fabs x) 7)) |
(/ 15/8 (pow (fabs x) 7)) |
(/ 15/8 (pow (fabs x) 7)) |
(/ 15/8 (pow (fabs x) 7)) |
(/ 15/8 (pow (fabs x) 7)) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6)) |
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6)) |
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))))))) (pow x 6)) |
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) |
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) |
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))) |
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))) |
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) |
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) |
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))) |
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))))) |
(/ 15/8 (pow x 6)) |
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 6)) |
1 |
(+ 1 (* 1/2 (/ 1 (pow x 2)))) |
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) |
(+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* 1/2 (/ 1 (pow x 2)))) |
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) |
(+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) |
(/ 15/8 (pow x 6)) |
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6)) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/ 15/8 (pow x 4)) |
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 4)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 4)) |
1/2 |
(+ 1/2 (* 3/4 (/ 1 (pow x 2)))) |
(+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) |
(+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) |
1/2 |
(+ 1/2 (* 3/4 (/ 1 (pow x 2)))) |
(+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) |
(+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) |
(/ 1 (pow (fabs x) 2)) |
(/ 1 (pow (fabs x) 2)) |
(/ 1 (pow (fabs x) 2)) |
(/ 1 (pow (fabs x) 2)) |
(/ 1 (pow (fabs x) 2)) |
(/ 1 (pow (fabs x) 2)) |
(/ 1 (pow (fabs x) 2)) |
(/ 1 (pow (fabs x) 2)) |
(/ 1 (pow (fabs x) 2)) |
(/ 1 (pow (fabs x) 2)) |
(/ 1 (pow (fabs x) 2)) |
(/ 1 (pow (fabs x) 2)) |
(/ 1 (pow (fabs x) 3)) |
(/ 1 (pow (fabs x) 3)) |
(/ 1 (pow (fabs x) 3)) |
(/ 1 (pow (fabs x) 3)) |
(/ 1 (pow (fabs x) 3)) |
(/ 1 (pow (fabs x) 3)) |
(/ 1 (pow (fabs x) 3)) |
(/ 1 (pow (fabs x) 3)) |
(/ 1 (pow (fabs x) 3)) |
(/ 1 (pow (fabs x) 3)) |
(/ 1 (pow (fabs x) 3)) |
(/ 1 (pow (fabs x) 3)) |
(/ 1 (pow (fabs x) 5)) |
(/ 1 (pow (fabs x) 5)) |
(/ 1 (pow (fabs x) 5)) |
(/ 1 (pow (fabs x) 5)) |
(/ 1 (pow (fabs x) 5)) |
(/ 1 (pow (fabs x) 5)) |
(/ 1 (pow (fabs x) 5)) |
(/ 1 (pow (fabs x) 5)) |
(/ 1 (pow (fabs x) 5)) |
(/ 1 (pow (fabs x) 5)) |
(/ 1 (pow (fabs x) 5)) |
(/ 1 (pow (fabs x) 5)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 15/8 (pow x 2)) |
(/ 15/8 (pow x 2)) |
(/ 15/8 (pow x 2)) |
(/ 15/8 (pow x 2)) |
(/ 15/8 (pow x 2)) |
(/ 15/8 (pow x 2)) |
(/ 15/8 (pow x 2)) |
(/ 15/8 (pow x 2)) |
(/ 15/8 (pow x 2)) |
(/ 15/8 (pow x 2)) |
(/ 15/8 (pow x 2)) |
(/ 15/8 (pow x 2)) |
(/ 15/8 (pow x 4)) |
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4)) |
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4)) |
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 4)) |
(/ 3/4 (pow x 2)) |
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/ 3/4 (pow x 2)) |
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2)) |
| Outputs |
|---|
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fabs.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))))) |
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fabs.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))))) |
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fabs.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fabs.f64 x))))))))) |
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(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) |
Compiled 83376 to 4233 computations (94.9% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1117 | 9 | 1126 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 1119 | 9 | 1128 |
| Status | Accuracy | Program |
|---|---|---|
| 1.1% | (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) | |
| ▶ | 99.9% | (/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
| ▶ | 1.8% | (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
| ▶ | 99.9% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| 99.9% | (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 53.0% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal -3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))) |
| 53.0% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal -3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) | |
| ▶ | 99.9% | (*.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
| 51.5% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
Compiled 1036 to 436 computations (57.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 12800 | (*.f64 (fabs.f64 x) (fabs.f64 x)) |
| ✓ | cost-diff | 12800 | (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) |
| ✓ | cost-diff | 12928 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) |
| ✓ | cost-diff | 20224 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal -3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 384 | (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) |
| ✓ | cost-diff | 384 | (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 384 | (*.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
| 4742× | *-lowering-*.f32 |
| 4742× | *-lowering-*.f64 |
| 2784× | /-lowering-/.f32 |
| 2784× | /-lowering-/.f64 |
| 1422× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 1127 |
| 1 | 238 | 997 |
| 2 | 1101 | 915 |
| 3 | 6401 | 902 |
| 0 | 8221 | 902 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (/ (exp (* x x)) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) (* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) |
(* (/ (exp (* x x)) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) |
(/ (exp (* x x)) (sqrt (PI))) |
(exp (* x x)) |
(* x x) |
x |
(sqrt (PI)) |
(PI) |
(- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
1 |
(* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
1/2 |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
3/4 |
(/ 15/8 (* x x)) |
15/8 |
(* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ 1 (/ 1 x)) |
(/ 1 x) |
(- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(/ (* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) (* (* x (* x x)) (* x (* x x)))) |
(* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) |
(sqrt (/ 1 (PI))) |
(/ 1 (PI)) |
1 |
(PI) |
(/ 15/8 (fabs x)) |
15/8 |
(fabs x) |
x |
(* (* x (* x x)) (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) |
(/ 1 x) |
1 |
x |
(/ (sqrt (PI)) (exp (* x x))) |
(sqrt (PI)) |
(PI) |
(exp (* x x)) |
(* x x) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
1/2 |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
3/4 |
(/ 15/8 (* x x)) |
15/8 |
(* (* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x)))) (pow (PI) -1/2)) (exp (* x x))) |
(* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x)))) (pow (PI) -1/2)) |
(+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x)))) |
(* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) |
(/ 1 x) |
1 |
x |
(+ 1 (/ 1/2 (* x x))) |
(/ 1/2 (* x x)) |
1/2 |
(* x x) |
(* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x))) |
(/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x)) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
3/4 |
(/ 15/8 (* x x)) |
15/8 |
(pow (PI) -1/2) |
(PI) |
-1/2 |
(exp (* x x)) |
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (* (- (* (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))) (* (/ (/ (/ (/ 1 x) x) x) (* x (* x x))) (* (/ 3/4 (* x x)) (/ 3/4 (* x x))))) (/ 1 (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* -3/4 (/ (/ (/ (/ (/ 1 x) x) x) x) x))))) (* (/ (/ (/ (/ (/ 1 x) x) x) x) x) (/ 15/8 (* x x))))) |
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) |
(/ 1 (sqrt (PI))) |
1 |
(sqrt (PI)) |
(PI) |
(exp (* (fabs x) (fabs x))) |
(* (fabs x) (fabs x)) |
(fabs x) |
x |
(+ (* (- (* (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))) (* (/ (/ (/ (/ 1 x) x) x) (* x (* x x))) (* (/ 3/4 (* x x)) (/ 3/4 (* x x))))) (/ 1 (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* -3/4 (/ (/ (/ (/ (/ 1 x) x) x) x) x))))) (* (/ (/ (/ (/ (/ 1 x) x) x) x) x) (/ 15/8 (* x x)))) |
(- (* (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))) (* (/ (/ (/ (/ 1 x) x) x) (* x (* x x))) (* (/ 3/4 (* x x)) (/ 3/4 (* x x))))) |
(* (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))) |
(* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) |
(/ 1 x) |
(+ 1 (/ 1/2 (* x x))) |
(/ 1/2 (* x x)) |
1/2 |
(* x x) |
(* (/ (/ (/ (/ 1 x) x) x) (* x (* x x))) (* (/ 3/4 (* x x)) (/ 3/4 (* x x)))) |
(/ (/ (/ (/ 1 x) x) x) (* x (* x x))) |
(/ (/ (/ 1 x) x) x) |
(/ (/ 1 x) x) |
(* x (* x x)) |
(* (/ 3/4 (* x x)) (/ 3/4 (* x x))) |
(/ 3/4 (* x x)) |
3/4 |
(/ 1 (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* -3/4 (/ (/ (/ (/ (/ 1 x) x) x) x) x)))) |
(+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* -3/4 (/ (/ (/ (/ (/ 1 x) x) x) x) x))) |
(* -3/4 (/ (/ (/ (/ (/ 1 x) x) x) x) x)) |
-3/4 |
(/ (/ (/ (/ (/ 1 x) x) x) x) x) |
(/ (/ (/ (/ 1 x) x) x) x) |
(* (/ (/ (/ (/ (/ 1 x) x) x) x) x) (/ 15/8 (* x x))) |
(/ 15/8 (* x x)) |
15/8 |
| Outputs |
|---|
(/ (* (/ (exp (* x x)) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) (* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(* (/ (exp (* x x)) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) |
(/ (exp (* x x)) (sqrt (PI))) |
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) |
(exp (* x x)) |
(exp.f64 (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
x |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
1 |
#s(literal 1 binary64) |
(* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) |
3/4 |
#s(literal 3/4 binary64) |
(/ 15/8 (* x x)) |
(/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
15/8 |
#s(literal 15/8 binary64) |
(* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/ 1 (/ 1 x)) |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(/ (* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) (* (* x (* x x)) (* x (* x x)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (fabs.f64 x)))) x)) (*.f64 x (*.f64 x x))) |
(* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) |
(*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) |
(sqrt (/ 1 (PI))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/ 1 (PI)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
1 |
#s(literal 1 binary64) |
(PI) |
(PI.f64) |
(/ 15/8 (fabs x)) |
(/.f64 #s(literal 15/8 binary64) (fabs.f64 x)) |
15/8 |
#s(literal 15/8 binary64) |
(fabs x) |
(fabs.f64 x) |
x |
(* (* x (* x x)) (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) |
(/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) |
(/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ (sqrt (PI)) (exp (* x x))) |
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(exp (* x x)) |
(exp.f64 (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) |
3/4 |
#s(literal 3/4 binary64) |
(/ 15/8 (* x x)) |
(/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
15/8 |
#s(literal 15/8 binary64) |
(* (* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x)))) (pow (PI) -1/2)) (exp (* x x))) |
(*.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))))) |
(* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x)))) (pow (PI) -1/2)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) |
(+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))))) x) |
(* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ 1 (/ 1/2 (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(/ 1/2 (* x x)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(* x x) |
(*.f64 x x) |
(* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x))) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x)) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) |
3/4 |
#s(literal 3/4 binary64) |
(/ 15/8 (* x x)) |
(/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
15/8 |
#s(literal 15/8 binary64) |
(pow (PI) -1/2) |
(pow.f64 (PI.f64) #s(literal -1/2 binary64)) |
(PI) |
(PI.f64) |
-1/2 |
#s(literal -1/2 binary64) |
(exp (* x x)) |
(exp.f64 (*.f64 x x)) |
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (* (- (* (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))) (* (/ (/ (/ (/ 1 x) x) x) (* x (* x x))) (* (/ 3/4 (* x x)) (/ 3/4 (* x x))))) (/ 1 (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* -3/4 (/ (/ (/ (/ (/ 1 x) x) x) x) x))))) (* (/ (/ (/ (/ (/ 1 x) x) x) x) x) (/ 15/8 (* x x))))) |
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x x))) x)))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) |
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) |
(/ 1 (sqrt (PI))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) |
1 |
#s(literal 1 binary64) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(exp (* (fabs x) (fabs x))) |
(exp.f64 (*.f64 x x)) |
(* (fabs x) (fabs x)) |
(*.f64 x x) |
(fabs x) |
(fabs.f64 x) |
x |
(+ (* (- (* (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))) (* (/ (/ (/ (/ 1 x) x) x) (* x (* x x))) (* (/ 3/4 (* x x)) (/ 3/4 (* x x))))) (/ 1 (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* -3/4 (/ (/ (/ (/ (/ 1 x) x) x) x) x))))) (* (/ (/ (/ (/ (/ 1 x) x) x) x) x) (/ 15/8 (* x x)))) |
(+.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x x))) x)))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (* (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))) (* (/ (/ (/ (/ 1 x) x) x) (* x (* x x))) (* (/ 3/4 (* x x)) (/ 3/4 (* x x))))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) |
(* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ 1 (/ 1/2 (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(/ 1/2 (* x x)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(* x x) |
(*.f64 x x) |
(* (/ (/ (/ (/ 1 x) x) x) (* x (* x x))) (* (/ 3/4 (* x x)) (/ 3/4 (* x x)))) |
(/.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ (/ (/ (/ 1 x) x) x) (* x (* x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (/ (/ 1 x) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ (/ 1 x) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* (/ 3/4 (* x x)) (/ 3/4 (* x x))) |
(/.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (*.f64 x x)) |
(/ 3/4 (* x x)) |
(/.f64 #s(literal 3/4 binary64) (*.f64 x x)) |
3/4 |
#s(literal 3/4 binary64) |
(/ 1 (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* -3/4 (/ (/ (/ (/ (/ 1 x) x) x) x) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x x))) x)))) |
(+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* -3/4 (/ (/ (/ (/ (/ 1 x) x) x) x) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x x))) x))) |
(* -3/4 (/ (/ (/ (/ (/ 1 x) x) x) x) x)) |
(/.f64 (/.f64 #s(literal -3/4 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) |
-3/4 |
#s(literal -3/4 binary64) |
(/ (/ (/ (/ (/ 1 x) x) x) x) x) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (*.f64 x x))) |
(/ (/ (/ (/ 1 x) x) x) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(* (/ (/ (/ (/ (/ 1 x) x) x) x) x) (/ 15/8 (* x x))) |
(/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ 15/8 (* x x)) |
(/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
15/8 |
#s(literal 15/8 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 99.9% | (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (exp.f64 (*.f64 x x)) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 99.9% | (exp.f64 (*.f64 x x)) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 99.9% | (exp.f64 (*.f64 x x)) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| 2.6s | 249× | 5 | exit |
| 19.0ms | 7× | 0 | valid |
Compiled 1244 to 67 computations (94.6% saved)
backward-pass: 559.0ms (50.5% of total)ival-div: 201.0ms (18.1% of total)ival-mult: 185.0ms (16.7% of total)ival-add: 43.0ms (3.9% of total)ival-pow: 27.0ms (2.4% of total)compiled-spec: 27.0ms (2.4% of total)ival-sub: 18.0ms (1.6% of total)ival-sqrt: 17.0ms (1.5% of total)ival-exp: 15.0ms (1.4% of total)ival-pi: 7.0ms (0.6% of total)ival-fabs: 6.0ms (0.5% of total)const: 4.0ms (0.4% of total)| Inputs |
|---|
#<alt (/ (* (/ (exp (* x x)) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) (* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))))> |
#<alt (* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))> |
#<alt (/ 1 (/ 1 x))> |
#<alt (* (/ (exp (* x x)) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))))> |
#<alt (/ (* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) (* (* x (* x x)) (* x (* x x))))> |
#<alt (* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x)))> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (/ 1 (PI))> |
#<alt (* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))> |
#<alt (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x))))> |
#<alt (/ 1 x)> |
#<alt (/ (sqrt (PI)) (exp (* x x)))> |
#<alt (* (* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x)))) (pow (PI) -1/2)) (exp (* x x)))> |
#<alt (* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x)))) (pow (PI) -1/2))> |
#<alt (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x))))> |
#<alt (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))> |
#<alt (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (* (- (* (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))) (* (/ (/ (/ (/ 1 x) x) x) (* x (* x x))) (* (/ 3/4 (* x x)) (/ 3/4 (* x x))))) (/ 1 (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* -3/4 (/ (/ (/ (/ (/ 1 x) x) x) x) x))))) (* (/ (/ (/ (/ (/ 1 x) x) x) x) x) (/ 15/8 (* x x)))))> |
#<alt (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))> |
#<alt (exp (* (fabs x) (fabs x)))> |
#<alt (* (fabs x) (fabs x))> |
#<alt (PI)> |
#<alt (exp (* x x))> |
#<alt (sqrt (PI))> |
#<alt (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))> |
#<alt (* x (* x x))> |
#<alt (* (* x (* x x)) (* x (* x x)))> |
#<alt (/ 1/2 (* x x))> |
| Outputs |
|---|
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))> |
#<alt (* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))> |
#<alt (/ -15/8 (pow x 5))> |
#<alt (/ (- (* -3/4 (pow x 2)) 15/8) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 3/4)) 15/8) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/2)) 3/4)) 15/8) (pow x 5))> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))> |
#<alt (* -1 (* x (- (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))) 1)))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* -225/64 (* (/ 1 (pow x 12)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* -405/64 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -225/64 (sqrt (/ 1 (PI))))) (pow x 12))> |
#<alt (/ (+ (* -225/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -897/128 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -405/64 (sqrt (/ 1 (PI))))))) (pow x 12))> |
#<alt (/ (+ (* -225/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -405/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -897/128 (sqrt (/ 1 (PI)))) (* -663/128 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 12))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))> |
#<alt (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))> |
#<alt (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))> |
#<alt (+ (* -39/16 (* (/ (exp (pow x 2)) (pow x 8)) (sqrt (/ 1 (PI))))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow x 2)))> |
#<alt (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))> |
#<alt (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))> |
#<alt (+ (* -39/16 (* (/ (exp (pow x 2)) (pow x 8)) (sqrt (/ 1 (PI))))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))))> |
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))> |
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))> |
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))> |
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))> |
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))> |
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))> |
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))> |
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))> |
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))> |
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))> |
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))> |
#<alt (* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))> |
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))> |
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))> |
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))> |
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))> |
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))> |
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))> |
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))> |
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))> |
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))> |
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))> |
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))> |
#<alt (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))> |
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))> |
#<alt (* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI))))))))) x)> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (sqrt (PI))> |
#<alt (+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI)))))> |
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* 1/2 (* (pow x 2) (sqrt (PI)))))))> |
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))> |
#<alt (* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))> |
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 3/4 (sqrt (/ 1 (PI))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))))))) (pow x 7))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) x)> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) x))> |
#<alt (* -1 (/ (+ (* -15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) x))> |
#<alt (/ 15/8 (pow x 7))> |
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)> |
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))> |
#<alt (/ 1/2 (pow x 3))> |
#<alt (/ (+ 1/2 (pow x 2)) (pow x 3))> |
#<alt (/ (+ 1/2 (pow x 2)) (pow x 3))> |
#<alt (/ (+ 1/2 (pow x 2)) (pow x 3))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (* 15/8 (* (/ (exp (pow (fabs x) 2)) (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 3/4 (* (* (pow x 2) (exp (pow (fabs x) 2))) (sqrt (/ 1 (PI))))) (* 15/8 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (* (pow x 2) (+ (* 1/2 (* (* (pow x 2) (exp (pow (fabs x) 2))) (sqrt (/ 1 (PI))))) (* 3/4 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (* (pow x 2) (+ (* 3/4 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (* (* (pow x 2) (exp (pow (fabs x) 2))) (sqrt (/ 1 (PI))))))))) (pow x 7))> |
#<alt (* (/ (exp (pow (fabs x) 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))))) x)> |
#<alt (* (/ (exp (pow (fabs x) 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (* -1/2 (* (/ (exp (pow (fabs x) 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (+ (* -3/4 (* (/ (exp (pow (fabs x) 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow (fabs x) 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))> |
#<alt (* -1 (/ (+ (* -15/8 (* (/ (exp (pow (fabs x) 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (+ (* -3/4 (* (/ (exp (pow (fabs x) 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow (fabs x) 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))> |
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))> |
#<alt (exp (pow (fabs x) 2))> |
#<alt (exp (pow (fabs x) 2))> |
#<alt (exp (pow (fabs x) 2))> |
#<alt (exp (pow (fabs x) 2))> |
#<alt (exp (pow (fabs x) 2))> |
#<alt (exp (pow (fabs x) 2))> |
#<alt (exp (pow (fabs x) 2))> |
#<alt (exp (pow (fabs x) 2))> |
#<alt (exp (pow (fabs x) 2))> |
#<alt (exp (pow (fabs x) 2))> |
#<alt (exp (pow (fabs x) 2))> |
#<alt (exp (pow (fabs x) 2))> |
#<alt (pow (fabs x) 2)> |
#<alt (pow (fabs x) 2)> |
#<alt (pow (fabs x) 2)> |
#<alt (pow (fabs x) 2)> |
#<alt (pow (fabs x) 2)> |
#<alt (pow (fabs x) 2)> |
#<alt (pow (fabs x) 2)> |
#<alt (pow (fabs x) 2)> |
#<alt (pow (fabs x) 2)> |
#<alt (pow (fabs x) 2)> |
#<alt (pow (fabs x) 2)> |
#<alt (pow (fabs x) 2)> |
#<alt 1> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (/ 15/8 (pow x 6))> |
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | 0 | (/ (sqrt (PI)) (exp (* x x))) |
| 6.0ms | x | @ | -inf | (/ (* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) (* (* x (* x x)) (* x (* x x)))) |
| 5.0ms | x | @ | inf | (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (* (- (* (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))) (* (/ (/ (/ (/ 1 x) x) x) (* x (* x x))) (* (/ 3/4 (* x x)) (/ 3/4 (* x x))))) (/ 1 (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* -3/4 (/ (/ (/ (/ (/ 1 x) x) x) x) x))))) (* (/ (/ (/ (/ (/ 1 x) x) x) x) x) (/ 15/8 (* x x))))) |
| 4.0ms | x | @ | inf | (/ (* (/ (exp (* x x)) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) (* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) |
| 3.0ms | x | @ | 0 | (/ (* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) (* (* x (* x x)) (* x (* x x)))) |
| 1× | batch-egg-rewrite |
| 4108× | *-lowering-*.f32 |
| 4108× | *-lowering-*.f64 |
| 3822× | /-lowering-/.f32 |
| 3822× | /-lowering-/.f64 |
| 1282× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 381 |
| 1 | 528 | 315 |
| 2 | 6502 | 314 |
| 0 | 8500 | 314 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (/ (exp (* x x)) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) (* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) |
(* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ 1 (/ 1 x)) |
(* (/ (exp (* x x)) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) |
(/ (* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) (* (* x (* x x)) (* x (* x x)))) |
(* (sqrt (/ 1 (PI))) (/ 15/8 (fabs x))) |
(sqrt (/ 1 (PI))) |
(/ 1 (PI)) |
(* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) |
(/ 1 x) |
(/ (sqrt (PI)) (exp (* x x))) |
(* (* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x)))) (pow (PI) -1/2)) (exp (* x x))) |
(* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x)))) (pow (PI) -1/2)) |
(+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (/ (/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) (* x x)))) |
(* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) |
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (* (- (* (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))) (* (/ (/ (/ (/ 1 x) x) x) (* x (* x x))) (* (/ 3/4 (* x x)) (/ 3/4 (* x x))))) (/ 1 (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* -3/4 (/ (/ (/ (/ (/ 1 x) x) x) x) x))))) (* (/ (/ (/ (/ (/ 1 x) x) x) x) x) (/ 15/8 (* x x))))) |
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) |
(exp (* (fabs x) (fabs x))) |
(* (fabs x) (fabs x)) |
(PI) |
(exp (* x x)) |
(sqrt (PI)) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(* x (* x x)) |
(* (* x (* x x)) (* x (* x x))) |
(/ 1/2 (* x x)) |
| Outputs |
|---|
(+.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(+.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))))) |
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x))))) #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))) |
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))) |
(/.f64 (*.f64 (exp.f64 (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) |
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x))))) |
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(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
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x |
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(*.f64 x (/.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) (*.f64 (fabs.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
| 1× | egg-herbie |
| 3796× | *-lowering-*.f32 |
| 3796× | *-lowering-*.f64 |
| 3292× | +-lowering-+.f64 |
| 3292× | +-lowering-+.f32 |
| 1602× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 364 | 3546 |
| 1 | 1055 | 3204 |
| 2 | 3757 | 3072 |
| 3 | 7395 | 3058 |
| 0 | 8267 | 3058 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7)) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x)) |
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
(/ -15/8 (pow x 5)) |
(/ (- (* -3/4 (pow x 2)) 15/8) (pow x 5)) |
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 3/4)) 15/8) (pow x 5)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/2)) 3/4)) 15/8) (pow x 5)) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1))) |
(* -1 (* x (- (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))) 1))) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(* -225/64 (* (/ 1 (pow x 12)) (sqrt (/ 1 (PI))))) |
(/ (+ (* -405/64 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -225/64 (sqrt (/ 1 (PI))))) (pow x 12)) |
(/ (+ (* -225/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -897/128 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -405/64 (sqrt (/ 1 (PI))))))) (pow x 12)) |
(/ (+ (* -225/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -405/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -897/128 (sqrt (/ 1 (PI)))) (* -663/128 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 12)) |
(* (sqrt (/ 1 (PI))) (exp (pow x 2))) |
(+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) |
(+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) |
(+ (* -39/16 (* (/ (exp (pow x 2)) (pow x 8)) (sqrt (/ 1 (PI))))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) |
(* (sqrt (/ 1 (PI))) (exp (pow x 2))) |
(+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) |
(+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) |
(+ (* -39/16 (* (/ (exp (pow x 2)) (pow x 8)) (sqrt (/ 1 (PI))))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) |
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) |
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) |
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) |
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) |
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) |
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) |
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) |
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) |
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) |
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) |
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) |
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7)) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x)) |
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI))))))))) x) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI))))) |
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* 1/2 (* (pow x 2) (sqrt (PI))))))) |
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI)))))))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7)) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x)) |
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 3/4 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))))))) (pow x 7)) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) x) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) x)) |
(* -1 (/ (+ (* -15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
(/ 15/8 (pow x 7)) |
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x) |
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x)) |
(/ 1/2 (pow x 3)) |
(/ (+ 1/2 (pow x 2)) (pow x 3)) |
(/ (+ 1/2 (pow x 2)) (pow x 3)) |
(/ (+ 1/2 (pow x 2)) (pow x 3)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(* 15/8 (* (/ (exp (pow (fabs x) 2)) (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 3/4 (* (* (pow x 2) (exp (pow (fabs x) 2))) (sqrt (/ 1 (PI))))) (* 15/8 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))))) (pow x 7)) |
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (* (pow x 2) (+ (* 1/2 (* (* (pow x 2) (exp (pow (fabs x) 2))) (sqrt (/ 1 (PI))))) (* 3/4 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))))))) (pow x 7)) |
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (* (pow x 2) (+ (* 3/4 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (* (* (pow x 2) (exp (pow (fabs x) 2))) (sqrt (/ 1 (PI))))))))) (pow x 7)) |
(* (/ (exp (pow (fabs x) 2)) x) (sqrt (/ 1 (PI)))) |
(/ (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))))) x) |
(* (/ (exp (pow (fabs x) 2)) x) (sqrt (/ 1 (PI)))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (* -1/2 (* (/ (exp (pow (fabs x) 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (+ (* -3/4 (* (/ (exp (pow (fabs x) 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow (fabs x) 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x)) |
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow (fabs x) 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))) (+ (* -3/4 (* (/ (exp (pow (fabs x) 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow (fabs x) 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) |
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) |
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) |
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) |
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) |
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) |
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) |
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) |
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) |
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) |
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) |
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) |
(exp (pow (fabs x) 2)) |
(exp (pow (fabs x) 2)) |
(exp (pow (fabs x) 2)) |
(exp (pow (fabs x) 2)) |
(exp (pow (fabs x) 2)) |
(exp (pow (fabs x) 2)) |
(exp (pow (fabs x) 2)) |
(exp (pow (fabs x) 2)) |
(exp (pow (fabs x) 2)) |
(exp (pow (fabs x) 2)) |
(exp (pow (fabs x) 2)) |
(exp (pow (fabs x) 2)) |
(pow (fabs x) 2) |
(pow (fabs x) 2) |
(pow (fabs x) 2) |
(pow (fabs x) 2) |
(pow (fabs x) 2) |
(pow (fabs x) 2) |
(pow (fabs x) 2) |
(pow (fabs x) 2) |
(pow (fabs x) 2) |
(pow (fabs x) 2) |
(pow (fabs x) 2) |
(pow (fabs x) 2) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(/ 15/8 (pow x 6)) |
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6)) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
| Outputs |
|---|
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 21/8 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (pow.f64 x #s(literal 7 binary64))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7)) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 x x) #s(literal 35/16 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (exp.f64 (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x x))))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (exp.f64 (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x x)))))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (exp.f64 (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x x)))))) x) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x x))) (exp.f64 (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (-.f64 (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -3/4 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x x)))) (exp.f64 (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -3/4 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal 6 binary64))) #s(literal -15/8 binary64)) (exp.f64 (*.f64 x x))))) (-.f64 #s(literal 0 binary64) x)) |
(/ -15/8 (pow x 5)) |
(/.f64 #s(literal -15/8 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* -3/4 (pow x 2)) 15/8) (pow x 5)) |
(/.f64 (+.f64 #s(literal -15/8 binary64) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 3/4)) 15/8) (pow x 5)) |
(/.f64 (+.f64 #s(literal -15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/2)) 3/4)) 15/8) (pow x 5)) |
(/.f64 (+.f64 #s(literal -15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) (pow.f64 x #s(literal 5 binary64))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* x (- (+ 1 (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* -1 (* x (- (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1))) |
(*.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))) 1))) |
(*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(* -225/64 (* (/ 1 (pow x 12)) (sqrt (/ 1 (PI))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal -225/64 binary64) (pow.f64 x #s(literal 12 binary64)))) |
(/ (+ (* -405/64 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -225/64 (sqrt (/ 1 (PI))))) (pow x 12)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal -225/64 binary64) (*.f64 (*.f64 x x) #s(literal -405/64 binary64))) (pow.f64 x #s(literal 12 binary64)))) |
(/ (+ (* -225/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -897/128 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -405/64 (sqrt (/ 1 (PI))))))) (pow x 12)) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -225/64 binary64)) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 x x) #s(literal -897/128 binary64)))))) (pow.f64 x #s(literal 12 binary64))) |
(/ (+ (* -225/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -405/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -897/128 (sqrt (/ 1 (PI)))) (* -663/128 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 12)) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x)) (+.f64 #s(literal -897/128 binary64) (*.f64 (*.f64 x x) #s(literal -663/128 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal -225/64 binary64) (*.f64 (*.f64 x x) #s(literal -405/64 binary64))))) (pow.f64 x #s(literal 12 binary64))) |
(* (sqrt (/ 1 (PI))) (exp (pow x 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) |
(+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/4 binary64)))) |
(+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/4 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal 6 binary64))) #s(literal -3/4 binary64)))) |
(+ (* -39/16 (* (/ (exp (pow x 2)) (pow x 8)) (sqrt (/ 1 (PI))))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 (*.f64 #s(literal -39/16 binary64) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal 6 binary64))) #s(literal -3/4 binary64))) (+.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/4 binary64))))) |
(* (sqrt (/ 1 (PI))) (exp (pow x 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) |
(+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/4 binary64)))) |
(+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/4 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal 6 binary64))) #s(literal -3/4 binary64)))) |
(+ (* -39/16 (* (/ (exp (pow x 2)) (pow x 8)) (sqrt (/ 1 (PI))))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 (*.f64 #s(literal -39/16 binary64) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal 6 binary64))) #s(literal -3/4 binary64))) (+.f64 (exp.f64 (*.f64 x x)) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/4 binary64))))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) |
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 6 binary64))) |
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) |
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(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
Compiled 127905 to 4734 computations (96.3% saved)
22 alts after pruning (22 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1818 | 22 | 1840 |
| Fresh | 4 | 0 | 4 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1827 | 22 | 1849 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x)))) | |
| 84.6% | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) | |
| 98.8% | (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x) | |
| 99.9% | (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))) | |
| ▶ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
| 99.9% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) x)) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| ▶ | 100.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| ▶ | 84.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| 77.4% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 50.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 99.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) | |
| ▶ | 98.9% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| ▶ | 2.4% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| 99.9% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) | |
| 77.4% | (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 98.9% | (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) | |
| 99.0% | (*.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) | |
| 53.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal -3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))) | |
| 51.5% | (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (/.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) | |
| 100.0% | (*.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 x) x)) | |
| 84.6% | (*.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) | |
| 50.6% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
Compiled 1864 to 930 computations (50.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| ✓ | cost-diff | 6336 | (pow.f64 (exp.f64 x) x) |
| ✓ | cost-diff | 6336 | (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x)) |
| ✓ | cost-diff | 6464 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x))) |
| ✓ | cost-diff | 6464 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| 3298× | *-lowering-*.f32 |
| 3298× | *-lowering-*.f64 |
| 1836× | +-lowering-+.f64 |
| 1836× | +-lowering-+.f32 |
| 1418× | /-lowering-/.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 748 |
| 1 | 139 | 729 |
| 2 | 432 | 715 |
| 3 | 1659 | 703 |
| 4 | 6481 | 703 |
| 5 | 7193 | 700 |
| 6 | 7471 | 700 |
| 7 | 7601 | 700 |
| 0 | 8021 | 700 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ 1 x) (/ (sqrt (PI)) (pow (exp x) x))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ (/ 1 x) (/ (sqrt (PI)) (pow (exp x) x))) |
(/ 1 x) |
1 |
x |
(/ (sqrt (PI)) (pow (exp x) x)) |
(sqrt (PI)) |
(PI) |
(pow (exp x) x) |
(exp x) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
1/2 |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
3/4 |
(/ 15/8 (* x x)) |
15/8 |
(* x x) |
(* (/ (/ 1 x) (sqrt (PI))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ (/ 1 x) (sqrt (PI))) |
(/ 1 x) |
1 |
x |
(sqrt (PI)) |
(PI) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
1/2 |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
3/4 |
(/ 15/8 (* x x)) |
15/8 |
(* x x) |
(* (/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))))) |
(/ 1 x) |
1 |
x |
(/ (sqrt (PI)) (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6)))))))) |
(sqrt (PI)) |
(PI) |
(+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) |
(* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6)))))) |
(* x x) |
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))) |
(* x (* x (+ 1/2 (* (* x x) 1/6)))) |
(* x (+ 1/2 (* (* x x) 1/6))) |
(+ 1/2 (* (* x x) 1/6)) |
1/2 |
(* (* x x) 1/6) |
1/6 |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
3/4 |
(/ 15/8 (* x x)) |
15/8 |
(* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ 1/2 (* x x)))) |
(/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) |
(/ 1 x) |
1 |
x |
(/ (sqrt (PI)) (exp (* x x))) |
(sqrt (PI)) |
(PI) |
(exp (* x x)) |
(* x x) |
(+ 1 (/ 1/2 (* x x))) |
(/ 1/2 (* x x)) |
1/2 |
(/ 1 (/ (/ (sqrt (PI)) (exp (* x x))) (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) x))) |
1 |
(/ (/ (sqrt (PI)) (exp (* x x))) (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) x)) |
(/ (sqrt (PI)) (exp (* x x))) |
(sqrt (PI)) |
(PI) |
(exp (* x x)) |
(* x x) |
x |
(/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) x) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
1/2 |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
3/4 |
(/ 15/8 (* x x)) |
15/8 |
| Outputs |
|---|
(* (/ (/ 1 x) (/ (sqrt (PI)) (pow (exp x) x))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(/ (/ 1 x) (/ (sqrt (PI)) (pow (exp x) x))) |
(/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ (sqrt (PI)) (pow (exp x) x)) |
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(pow (exp x) x) |
(exp.f64 (*.f64 x x)) |
(exp x) |
(exp.f64 x) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) |
3/4 |
#s(literal 3/4 binary64) |
(/ 15/8 (* x x)) |
(/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
15/8 |
#s(literal 15/8 binary64) |
(* x x) |
(*.f64 x x) |
(* (/ (/ 1 x) (sqrt (PI))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/ (/ 1 x) (sqrt (PI))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) |
3/4 |
#s(literal 3/4 binary64) |
(/ 15/8 (* x x)) |
(/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
15/8 |
#s(literal 15/8 binary64) |
(* x x) |
(*.f64 x x) |
(* (/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) |
(/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ (sqrt (PI)) (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6)))))))) |
(/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(* x x) |
(*.f64 x x) |
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(* x (* x (+ 1/2 (* (* x x) 1/6)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* x (+ 1/2 (* (* x x) 1/6))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(+ 1/2 (* (* x x) 1/6)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) 1/6) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) |
3/4 |
#s(literal 3/4 binary64) |
(/ 15/8 (* x x)) |
(/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
15/8 |
#s(literal 15/8 binary64) |
(* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ 1/2 (* x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.f64 x x)) x))) |
(/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) |
(/.f64 (exp.f64 (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ (sqrt (PI)) (exp (* x x))) |
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(exp (* x x)) |
(exp.f64 (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(+ 1 (/ 1/2 (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(/ 1/2 (* x x)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1 (/ (/ (sqrt (PI)) (exp (* x x))) (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (*.f64 x x)) x))) |
1 |
#s(literal 1 binary64) |
(/ (/ (sqrt (PI)) (exp (* x x))) (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) x)) |
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 x (exp.f64 (*.f64 x x))))) |
(/ (sqrt (PI)) (exp (* x x))) |
(/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(exp (* x x)) |
(exp.f64 (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
x |
(/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) |
3/4 |
#s(literal 3/4 binary64) |
(/ 15/8 (* x x)) |
(/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
15/8 |
#s(literal 15/8 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 99.9% | (exp.f64 (*.f64 x x)) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 99.9% | (exp.f64 (*.f64 x x)) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (pow.f64 (exp.f64 x) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| 400.0ms | 249× | 0 | unsamplable |
| 19.0ms | 7× | 0 | valid |
Compiled 763 to 43 computations (94.4% saved)
ival-div: 65.0ms (32.5% of total)ival-mult: 58.0ms (29% of total)ival-pow: 29.0ms (14.5% of total)ival-add: 25.0ms (12.5% of total)ival-exp: 7.0ms (3.5% of total)...c/correct-round.rkt:119:19: 7.0ms (3.5% of total)ival-sqrt: 4.0ms (2% of total)ival-pi: 2.0ms (1% of total)const: 1.0ms (0.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (/ 1 x) (/ (sqrt (PI)) (pow (exp x) x))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))> |
#<alt (/ (/ 1 x) (/ (sqrt (PI)) (pow (exp x) x)))> |
#<alt (/ (sqrt (PI)) (pow (exp x) x))> |
#<alt (pow (exp x) x)> |
#<alt (* (/ (/ 1 x) (sqrt (PI))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))> |
#<alt (/ (/ 1 x) (sqrt (PI)))> |
#<alt (/ 1 x)> |
#<alt (sqrt (PI))> |
#<alt (* (/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))> |
#<alt (/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6)))))))))> |
#<alt (/ (sqrt (PI)) (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))))> |
#<alt (* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ 1/2 (* x x))))> |
#<alt (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x))))> |
#<alt (/ (sqrt (PI)) (exp (* x x)))> |
#<alt (/ 1 (/ (/ (sqrt (PI)) (exp (* x x))) (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) x)))> |
#<alt (/ (/ (sqrt (PI)) (exp (* x x))) (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) x))> |
#<alt (PI)> |
#<alt (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))> |
#<alt (* x (* x (+ 1/2 (* (* x x) 1/6))))> |
#<alt (exp (* x x))> |
#<alt (/ 1/2 (* x x))> |
| Outputs |
|---|
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))> |
#<alt (* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI))))))))) x)> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (sqrt (PI))> |
#<alt (+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI)))))> |
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* 1/2 (* (pow x 2) (sqrt (PI)))))))> |
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 3/4 (sqrt (/ 1 (PI))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))))))) (pow x 7))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) x)> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) x))> |
#<alt (* -1 (/ (+ (* -15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) x))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))> |
#<alt (* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))> |
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))> |
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))> |
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))> |
#<alt (* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI))))))))) x)> |
#<alt (* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))> |
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))> |
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))> |
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))> |
#<alt (* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))))> |
#<alt (sqrt (PI))> |
#<alt (+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI)))))> |
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* 1/2 (* (pow x 2) (sqrt (PI)))))))> |
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))))))> |
#<alt (* 6 (* (/ 1 (pow x 6)) (sqrt (PI))))> |
#<alt (/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 6 (sqrt (PI)))) (pow x 6))> |
#<alt (/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 6 (sqrt (PI))) (* 18 (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 6))> |
#<alt (/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 6 (sqrt (PI))) (+ (* 18 (* (/ 1 (pow x 4)) (sqrt (PI)))) (* 18 (* (/ 1 (pow x 6)) (sqrt (PI))))))) (pow x 6))> |
#<alt (* 6 (* (/ 1 (pow x 6)) (sqrt (PI))))> |
#<alt (/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 6 (sqrt (PI)))) (pow x 6))> |
#<alt (/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 6 (sqrt (PI))) (* 18 (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 6))> |
#<alt (/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 6 (sqrt (PI))) (+ (* 18 (* (/ 1 (pow x 4)) (sqrt (PI)))) (* 18 (* (/ 1 (pow x 6)) (sqrt (PI))))))) (pow x 6))> |
#<alt (* 1/2 (* (/ 1 (pow x 3)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* 3/2 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 3))> |
#<alt (/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 5/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 3/2 (sqrt (/ 1 (PI))))))) (pow x 3))> |
#<alt (/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 7/12 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 5/4 (sqrt (/ 1 (PI))))))))) (pow x 3))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI))))))))) x)> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (sqrt (PI))> |
#<alt (+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI)))))> |
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* 1/2 (* (pow x 2) (sqrt (PI)))))))> |
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (pow x 2))))> |
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)> |
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))> |
#<alt (* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))> |
#<alt (* 8/15 (* (pow x 7) (sqrt (PI))))> |
#<alt (* (pow x 7) (+ (* -56/75 (* (pow x 2) (sqrt (PI)))) (* 8/15 (sqrt (PI)))))> |
#<alt (* (pow x 7) (+ (* 8/15 (sqrt (PI))) (* (pow x 2) (+ (* -56/75 (sqrt (PI))) (* 476/1125 (* (pow x 2) (sqrt (PI))))))))> |
#<alt (* (pow x 7) (+ (* 8/15 (sqrt (PI))) (* (pow x 2) (+ (* -56/75 (sqrt (PI))) (* (pow x 2) (+ (* -644/1875 (* (pow x 2) (sqrt (PI)))) (* 476/1125 (sqrt (PI)))))))))> |
#<alt (* (/ x (exp (pow x 2))) (sqrt (PI)))> |
#<alt (* x (+ (* -1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (* (sqrt (PI)) (/ 1 (exp (pow x 2))))))> |
#<alt (* x (+ (* -1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (+ (* -1/2 (* (/ 1 (* (pow x 4) (exp (pow x 2)))) (sqrt (PI)))) (* (sqrt (PI)) (/ 1 (exp (pow x 2)))))))> |
#<alt (* x (+ (* -5/4 (* (/ 1 (* (pow x 6) (exp (pow x 2)))) (sqrt (PI)))) (+ (* -1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (+ (* -1/2 (* (/ 1 (* (pow x 4) (exp (pow x 2)))) (sqrt (PI)))) (* (sqrt (PI)) (/ 1 (exp (pow x 2))))))))> |
#<alt (* (/ x (exp (pow x 2))) (sqrt (PI)))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (PI)) (/ 1 (exp (pow x 2))))) (* 1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))))))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (PI)) (/ 1 (exp (pow x 2))))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (* 1/2 (* (/ 1 (* (pow x 4) (exp (pow x 2)))) (sqrt (PI))))))))> |
#<alt (* -1 (* x (+ (* -1 (* (sqrt (PI)) (/ 1 (exp (pow x 2))))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (+ (* 1/2 (* (/ 1 (* (pow x 4) (exp (pow x 2)))) (sqrt (PI)))) (* 5/4 (* (/ 1 (* (pow x 6) (exp (pow x 2)))) (sqrt (PI)))))))))> |
#<alt (/ 15/8 (pow x 6))> |
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* 1/6 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (exp (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* (/ (/ 1 x) (/ (sqrt (PI)) (pow (exp x) x))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
| 2.0ms | x | @ | inf | (* (/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
| 2.0ms | x | @ | inf | (/ (/ (sqrt (PI)) (exp (* x x))) (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) x)) |
| 2.0ms | x | @ | inf | (* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ 1/2 (* x x)))) |
| 1.0ms | x | @ | -inf | (/ (/ (sqrt (PI)) (exp (* x x))) (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) x)) |
| 1× | batch-egg-rewrite |
| 3484× | *-lowering-*.f32 |
| 3484× | *-lowering-*.f64 |
| 2440× | fma-lowering-fma.f32 |
| 2440× | fma-lowering-fma.f64 |
| 1912× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 309 |
| 1 | 332 | 272 |
| 2 | 3491 | 272 |
| 0 | 8136 | 272 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ 1 x) (/ (sqrt (PI)) (pow (exp x) x))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ (/ 1 x) (/ (sqrt (PI)) (pow (exp x) x))) |
(/ (sqrt (PI)) (pow (exp x) x)) |
(pow (exp x) x) |
(* (/ (/ 1 x) (sqrt (PI))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ (/ 1 x) (sqrt (PI))) |
(/ 1 x) |
(sqrt (PI)) |
(* (/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))))) |
(/ (sqrt (PI)) (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6)))))))) |
(* (/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) (+ 1 (/ 1/2 (* x x)))) |
(/ (/ 1 x) (/ (sqrt (PI)) (exp (* x x)))) |
(/ (sqrt (PI)) (exp (* x x))) |
(/ 1 (/ (/ (sqrt (PI)) (exp (* x x))) (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) x))) |
(/ (/ (sqrt (PI)) (exp (* x x))) (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) x)) |
(PI) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(* x (* x (+ 1/2 (* (* x x) 1/6)))) |
(exp (* x x)) |
(/ 1/2 (* x x)) |
| Outputs |
|---|
(+.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) |
(fma.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) |
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) |
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (exp.f64 (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (*.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) |
(fma.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(fma.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 (*.f64 x x)) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64))))) (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (exp.f64 (*.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x)))) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64)))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x)))))) |
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(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) x) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) x)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)))) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) |
(pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))) |
(+.f64 (*.f64 x (/.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 x (/.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) x) |
(exp.f64 (*.f64 x x)) |
(exp.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) x) |
(pow.f64 (exp.f64 x) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 x) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| 1× | egg-herbie |
| 5116× | *-lowering-*.f32 |
| 5116× | *-lowering-*.f64 |
| 4130× | +-lowering-+.f64 |
| 4130× | +-lowering-+.f32 |
| 1420× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 354 | 3416 |
| 1 | 1148 | 3043 |
| 2 | 4417 | 2922 |
| 0 | 8153 | 2922 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7)) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x)) |
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI))))))))) x) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI))))) |
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* 1/2 (* (pow x 2) (sqrt (PI))))))) |
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI)))))))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 3/4 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))))))) (pow x 7)) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) x) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) x)) |
(* -1 (/ (+ (* -15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7)) |
(* 1/6 (* (pow x 5) (sqrt (/ 1 (PI))))) |
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) |
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))) |
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))) |
(* 1/6 (* (pow x 5) (sqrt (/ 1 (PI))))) |
(* -1 (* (pow x 5) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))) |
(* -1 (* (pow x 5) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))) |
(* -1 (* (pow x 5) (+ (* -35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI))))))))) x) |
(* 1/6 (* (pow x 5) (sqrt (/ 1 (PI))))) |
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) |
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) |
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) |
(* 1/6 (* (pow x 5) (sqrt (/ 1 (PI))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))) |
(* -1 (* (pow x 5) (+ (* -1 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))) |
(* -1 (* (pow x 5) (+ (* -1 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))))) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI))))) |
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* 1/2 (* (pow x 2) (sqrt (PI))))))) |
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI)))))))) |
(* 6 (* (/ 1 (pow x 6)) (sqrt (PI)))) |
(/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 6 (sqrt (PI)))) (pow x 6)) |
(/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 6 (sqrt (PI))) (* 18 (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 6)) |
(/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 6 (sqrt (PI))) (+ (* 18 (* (/ 1 (pow x 4)) (sqrt (PI)))) (* 18 (* (/ 1 (pow x 6)) (sqrt (PI))))))) (pow x 6)) |
(* 6 (* (/ 1 (pow x 6)) (sqrt (PI)))) |
(/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 6 (sqrt (PI)))) (pow x 6)) |
(/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 6 (sqrt (PI))) (* 18 (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 6)) |
(/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 6 (sqrt (PI))) (+ (* 18 (* (/ 1 (pow x 4)) (sqrt (PI)))) (* 18 (* (/ 1 (pow x 6)) (sqrt (PI))))))) (pow x 6)) |
(* 1/2 (* (/ 1 (pow x 3)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* 3/2 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 3)) |
(/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 5/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 3/2 (sqrt (/ 1 (PI))))))) (pow x 3)) |
(/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 7/12 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 5/4 (sqrt (/ 1 (PI))))))))) (pow x 3)) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI))))))))) x) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI))))) |
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* 1/2 (* (pow x 2) (sqrt (PI))))))) |
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI)))))))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* (sqrt (PI)) (/ 1 (exp (pow x 2)))) |
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7)) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x)) |
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
(* 8/15 (* (pow x 7) (sqrt (PI)))) |
(* (pow x 7) (+ (* -56/75 (* (pow x 2) (sqrt (PI)))) (* 8/15 (sqrt (PI))))) |
(* (pow x 7) (+ (* 8/15 (sqrt (PI))) (* (pow x 2) (+ (* -56/75 (sqrt (PI))) (* 476/1125 (* (pow x 2) (sqrt (PI)))))))) |
(* (pow x 7) (+ (* 8/15 (sqrt (PI))) (* (pow x 2) (+ (* -56/75 (sqrt (PI))) (* (pow x 2) (+ (* -644/1875 (* (pow x 2) (sqrt (PI)))) (* 476/1125 (sqrt (PI))))))))) |
(* (/ x (exp (pow x 2))) (sqrt (PI))) |
(* x (+ (* -1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (* (sqrt (PI)) (/ 1 (exp (pow x 2)))))) |
(* x (+ (* -1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (+ (* -1/2 (* (/ 1 (* (pow x 4) (exp (pow x 2)))) (sqrt (PI)))) (* (sqrt (PI)) (/ 1 (exp (pow x 2))))))) |
(* x (+ (* -5/4 (* (/ 1 (* (pow x 6) (exp (pow x 2)))) (sqrt (PI)))) (+ (* -1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (+ (* -1/2 (* (/ 1 (* (pow x 4) (exp (pow x 2)))) (sqrt (PI)))) (* (sqrt (PI)) (/ 1 (exp (pow x 2)))))))) |
(* (/ x (exp (pow x 2))) (sqrt (PI))) |
(* -1 (* x (+ (* -1 (* (sqrt (PI)) (/ 1 (exp (pow x 2))))) (* 1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (PI)) (/ 1 (exp (pow x 2))))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (* 1/2 (* (/ 1 (* (pow x 4) (exp (pow x 2)))) (sqrt (PI)))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (PI)) (/ 1 (exp (pow x 2))))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (+ (* 1/2 (* (/ 1 (* (pow x 4) (exp (pow x 2)))) (sqrt (PI)))) (* 5/4 (* (/ 1 (* (pow x 6) (exp (pow x 2)))) (sqrt (PI))))))))) |
(/ 15/8 (pow x 6)) |
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6)) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(* 1/6 (pow x 4)) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 4)) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(exp (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
| Outputs |
|---|
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 35/16 binary64)) #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 7 binary64))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7)) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 35/16 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (exp.f64 (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x x))))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x x))) (+.f64 (exp.f64 (*.f64 x x)) (/.f64 (*.f64 #s(literal 3/4 binary64) (exp.f64 (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))))) x) |
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 (exp.f64 (*.f64 x x)) (*.f64 #s(literal 15/8 binary64) (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x x))) (/.f64 (*.f64 #s(literal 3/4 binary64) (exp.f64 (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))))) x) |
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (*.f64 x x)) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x x)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -3/4 binary64) (exp.f64 (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
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(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -3/4 binary64) (exp.f64 (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal 6 binary64))) #s(literal -15/8 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -3/4 binary64) (exp.f64 (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 x x)) #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x)) |
(* 8/15 (* (pow x 7) (sqrt (PI)))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 8/15 binary64))) |
(* (pow x 7) (+ (* -56/75 (* (pow x 2) (sqrt (PI)))) (* 8/15 (sqrt (PI))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -56/75 binary64)) #s(literal 8/15 binary64)))) |
(* (pow x 7) (+ (* 8/15 (sqrt (PI))) (* (pow x 2) (+ (* -56/75 (sqrt (PI))) (* 476/1125 (* (pow x 2) (sqrt (PI)))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 8/15 binary64)) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal -56/75 binary64) (*.f64 (*.f64 x x) #s(literal 476/1125 binary64))))))) |
(* (pow x 7) (+ (* 8/15 (sqrt (PI))) (* (pow x 2) (+ (* -56/75 (sqrt (PI))) (* (pow x 2) (+ (* -644/1875 (* (pow x 2) (sqrt (PI)))) (* 476/1125 (sqrt (PI))))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -56/75 binary64)) #s(literal 8/15 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal -644/1875 binary64)) #s(literal 476/1125 binary64)))))) |
(* (/ x (exp (pow x 2))) (sqrt (PI))) |
(/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))) |
(* x (+ (* -1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (* (sqrt (PI)) (/ 1 (exp (pow x 2)))))) |
(*.f64 x (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (exp.f64 (*.f64 x x))))))) |
(* x (+ (* -1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (+ (* -1/2 (* (/ 1 (* (pow x 4) (exp (pow x 2)))) (sqrt (PI)))) (* (sqrt (PI)) (/ 1 (exp (pow x 2))))))) |
(*.f64 x (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (exp.f64 (*.f64 x x)))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))))) |
(* x (+ (* -5/4 (* (/ 1 (* (pow x 6) (exp (pow x 2)))) (sqrt (PI)))) (+ (* -1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (+ (* -1/2 (* (/ 1 (* (pow x 4) (exp (pow x 2)))) (sqrt (PI)))) (* (sqrt (PI)) (/ 1 (exp (pow x 2)))))))) |
(*.f64 x (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (/.f64 #s(literal -5/4 binary64) (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (exp.f64 (*.f64 x x)))))))) |
(* (/ x (exp (pow x 2))) (sqrt (PI))) |
(/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x))) |
(* -1 (* x (+ (* -1 (* (sqrt (PI)) (/ 1 (exp (pow x 2))))) (* 1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI))))))) |
(*.f64 x (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (exp.f64 (*.f64 x x))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (PI)) (/ 1 (exp (pow x 2))))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (* 1/2 (* (/ 1 (* (pow x 4) (exp (pow x 2)))) (sqrt (PI)))))))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1 (* (sqrt (PI)) (/ 1 (exp (pow x 2))))) (+ (* 1/2 (* (/ 1 (* (pow x 2) (exp (pow x 2)))) (sqrt (PI)))) (+ (* 1/2 (* (/ 1 (* (pow x 4) (exp (pow x 2)))) (sqrt (PI)))) (* 5/4 (* (/ 1 (* (pow x 6) (exp (pow x 2)))) (sqrt (PI))))))))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (+.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 #s(literal 5/4 binary64) (*.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x)) |
(/ 15/8 (pow x 6)) |
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (pow.f64 x #s(literal 6 binary64))) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(exp (pow x 2)) |
(exp.f64 (*.f64 x x)) |
(exp (pow x 2)) |
(exp.f64 (*.f64 x x)) |
(exp (pow x 2)) |
(exp.f64 (*.f64 x x)) |
(exp (pow x 2)) |
(exp.f64 (*.f64 x x)) |
(exp (pow x 2)) |
(exp.f64 (*.f64 x x)) |
(exp (pow x 2)) |
(exp.f64 (*.f64 x x)) |
(exp (pow x 2)) |
(exp.f64 (*.f64 x x)) |
(exp (pow x 2)) |
(exp.f64 (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
Compiled 58762 to 3344 computations (94.3% saved)
44 alts after pruning (42 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1507 | 34 | 1541 |
| Fresh | 9 | 8 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1519 | 44 | 1563 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
| 99.9% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) | |
| 84.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) | |
| 99.9% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x)))) | |
| 84.6% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) | |
| 2.4% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) | |
| ▶ | 84.6% | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
| 84.6% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) | |
| 2.4% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) | |
| 1.3% | (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) | |
| 99.9% | (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))) | |
| ▶ | 2.4% | (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
| 84.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) | |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
| 98.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) | |
| 84.6% | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) | |
| 98.9% | (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 100.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| ▶ | 100.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| ✓ | 100.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| 36.1% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 13.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 84.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 84.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 77.4% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 84.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) | |
| 84.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))) | |
| 84.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 77.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| ▶ | 50.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| 50.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 99.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) | |
| 1.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 2.4% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) | |
| 2.4% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 84.6% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) | |
| 84.6% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64)))) | |
| 99.9% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) | |
| 10.2% | (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 84.6% | (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 50.5% | (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 84.6% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 99.0% | (*.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) | |
| 51.5% | (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (/.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
Compiled 3504 to 1839 computations (47.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 512 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| ✓ | cost-diff | 512 | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
| ✓ | cost-diff | 6336 | (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 6336 | (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 6464 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
| ✓ | cost-diff | 6464 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| 3734× | *-lowering-*.f32 |
| 3734× | *-lowering-*.f64 |
| 1740× | +-lowering-+.f64 |
| 1740× | +-lowering-+.f32 |
| 1534× | /-lowering-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 989 |
| 1 | 170 | 950 |
| 2 | 630 | 922 |
| 3 | 2581 | 903 |
| 4 | 6838 | 897 |
| 0 | 8206 | 897 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ 1 x) (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ (/ 1 x) (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2)))) |
(/ 1 x) |
1 |
x |
(/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2))) |
(sqrt (PI)) |
(PI) |
(pow (pow (exp x) 2) (/ x 2)) |
(pow (exp x) 2) |
(exp x) |
2 |
(/ x 2) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
1/2 |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
3/4 |
(/ 15/8 (* x x)) |
15/8 |
(* x x) |
(/ (sqrt (/ 1 (PI))) x) |
(sqrt (/ 1 (PI))) |
(/ 1 (PI)) |
1 |
(PI) |
x |
(* (/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* x x)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* x x)))) |
(/ 1 x) |
1 |
x |
(/ (sqrt (PI)) (+ 1 (* x x))) |
(sqrt (PI)) |
(PI) |
(+ 1 (* x x)) |
(* x x) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
1/2 |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
3/4 |
(/ 15/8 (* x x)) |
15/8 |
(/ (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) (* x (sqrt (PI)))) (/ 1 (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))))) |
(/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) (* x (sqrt (PI)))) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
1 |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
1/2 |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
3/4 |
(/ 15/8 (* x x)) |
15/8 |
(* x x) |
x |
(* x (sqrt (PI))) |
(sqrt (PI)) |
(PI) |
(/ 1 (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6))))))) |
(+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) |
(* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6))))) |
(+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))) |
(* (* x x) (+ 1/2 (* (* x x) 1/6))) |
(+ 1/2 (* (* x x) 1/6)) |
(* (* x x) 1/6) |
1/6 |
(/ (* (/ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) (* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) |
(* (/ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) |
(/ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) (sqrt (PI))) |
(+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) |
1 |
(* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6)))))) |
(* x x) |
x |
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))) |
(* x (* x (+ 1/2 (* (* x x) 1/6)))) |
(* x (+ 1/2 (* (* x x) 1/6))) |
(+ 1/2 (* (* x x) 1/6)) |
1/2 |
(* (* x x) 1/6) |
1/6 |
(sqrt (PI)) |
(PI) |
(- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
3/4 |
(/ 15/8 (* x x)) |
15/8 |
(* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ 1 (/ 1 x)) |
(/ 1 x) |
(- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
| Outputs |
|---|
(* (/ (/ 1 x) (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64))))) |
(/ (/ 1 x) (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2)))) |
(/.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2))) |
(/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(pow (pow (exp x) 2) (/ x 2)) |
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64))) |
(pow (exp x) 2) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp x) |
(exp.f64 x) |
2 |
#s(literal 2 binary64) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) |
3/4 |
#s(literal 3/4 binary64) |
(/ 15/8 (* x x)) |
(/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
15/8 |
#s(literal 15/8 binary64) |
(* x x) |
(*.f64 x x) |
(/ (sqrt (/ 1 (PI))) x) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(sqrt (/ 1 (PI))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/ 1 (PI)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
1 |
#s(literal 1 binary64) |
(PI) |
(PI.f64) |
x |
(* (/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* x x)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x))) |
(/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (sqrt.f64 (PI.f64)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ (sqrt (PI)) (+ 1 (* x x))) |
(/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(+ 1 (* x x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) |
3/4 |
#s(literal 3/4 binary64) |
(/ 15/8 (* x x)) |
(/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
15/8 |
#s(literal 15/8 binary64) |
(/ (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) (* x (sqrt (PI)))) (/ 1 (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) x))) |
(/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) (* x (sqrt (PI)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) |
3/4 |
#s(literal 3/4 binary64) |
(/ 15/8 (* x x)) |
(/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
15/8 |
#s(literal 15/8 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* x (sqrt (PI))) |
(*.f64 x (sqrt.f64 (PI.f64))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(/ 1 (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) |
(* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* (* x x) (+ 1/2 (* (* x x) 1/6))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(+ 1/2 (* (* x x) 1/6)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (* x x) 1/6) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(/ (* (/ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) (* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) x)))) |
(* (/ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (sqrt.f64 (PI.f64))) |
(/ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) (sqrt (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64))) |
(+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(* x (* x (+ 1/2 (* (* x x) 1/6)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* x (+ 1/2 (* (* x x) 1/6))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(+ 1/2 (* (* x x) 1/6)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) 1/6) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) |
(/ (+ 3/4 (/ 15/8 (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 3/4 (/ 15/8 (* x x))) |
(+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) |
3/4 |
#s(literal 3/4 binary64) |
(/ 15/8 (* x x)) |
(/.f64 #s(literal 15/8 binary64) (*.f64 x x)) |
15/8 |
#s(literal 15/8 binary64) |
(* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(-.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
(/ 1 (/ 1 x)) |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (PI.f64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) |
| ✓ | accuracy | 100.0% | (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 5.8% | (PI.f64) |
| 2.7s | 249× | 5 | exit |
| 13.0ms | 7× | 0 | valid |
Compiled 1015 to 55 computations (94.6% saved)
backward-pass: 634.0ms (56.5% of total)ival-div: 188.0ms (16.8% of total)ival-mult: 113.0ms (10.1% of total)ival-pow: 74.0ms (6.6% of total)ival-add: 56.0ms (5% of total)ival-sqrt: 18.0ms (1.6% of total)...c/correct-round.rkt:119:19: 14.0ms (1.2% of total)ival-sub: 12.0ms (1.1% of total)ival-exp: 7.0ms (0.6% of total)ival-pi: 4.0ms (0.4% of total)const: 3.0ms (0.3% of total)| Inputs |
|---|
#<alt (* (/ (/ 1 x) (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))> |
#<alt (/ (/ 1 x) (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2))))> |
#<alt (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2)))> |
#<alt (pow (pow (exp x) 2) (/ x 2))> |
#<alt (/ (sqrt (/ 1 (PI))) x)> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (/ 1 (PI))> |
#<alt (PI)> |
#<alt (* (/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* x x)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))> |
#<alt (/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* x x))))> |
#<alt (/ 1 x)> |
#<alt (/ (sqrt (PI)) (+ 1 (* x x)))> |
#<alt (/ (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) (* x (sqrt (PI)))) (/ 1 (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6))))))))> |
#<alt (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) (* x (sqrt (PI))))> |
#<alt (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))> |
#<alt (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))> |
#<alt (/ (* (/ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) (* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))))> |
#<alt (* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))> |
#<alt (/ 1 (/ 1 x))> |
#<alt (* (/ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))))> |
#<alt (sqrt (PI))> |
#<alt (* (* x x) (+ 1/2 (* (* x x) 1/6)))> |
#<alt (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))> |
#<alt (* x (* x (+ 1/2 (* (* x x) 1/6))))> |
#<alt (/ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) (sqrt (PI)))> |
| Outputs |
|---|
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))> |
#<alt (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (* 1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2)))))))) x)> |
#<alt (/ (+ (* 1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))))) x)> |
#<alt (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI))))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))) (* -1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))) (+ (* -3/4 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI))))))) x))> |
#<alt (* -1 (/ (+ (* -15/8 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))) (+ (* -3/4 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI))))))))) x)> |
#<alt (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI))))> |
#<alt (sqrt (PI))> |
#<alt (+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI)))))> |
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* 1/2 (* (pow x 2) (sqrt (PI)))))))> |
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2)))))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2)))))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2)))))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2)))))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2)))))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2)))))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2)))))))> |
#<alt (* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2)))))))> |
#<alt 1> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))> |
#<alt (exp (* 1/2 (* x (log (pow (exp x) 2)))))> |
#<alt (exp (* 1/2 (* x (log (pow (exp x) 2)))))> |
#<alt (exp (* 1/2 (* x (log (pow (exp x) 2)))))> |
#<alt (exp (* 1/2 (* x (log (pow (exp x) 2)))))> |
#<alt (exp (* 1/2 (* x (log (pow (exp x) 2)))))> |
#<alt (exp (* 1/2 (* x (log (pow (exp x) 2)))))> |
#<alt (exp (* 1/2 (* x (log (pow (exp x) 2)))))> |
#<alt (exp (* 1/2 (* x (log (pow (exp x) 2)))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 5/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 5/4 (sqrt (/ 1 (PI)))) (* 3/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))> |
#<alt (* x (sqrt (/ 1 (PI))))> |
#<alt (* x (+ (sqrt (/ 1 (PI))) (* 3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))> |
#<alt (* x (+ (sqrt (/ 1 (PI))) (+ (* 5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))))> |
#<alt (* x (+ (sqrt (/ 1 (PI))) (+ (* 5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 21/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))> |
#<alt (* x (sqrt (/ 1 (PI))))> |
#<alt (* -1 (* x (+ (* -3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))> |
#<alt (* -1 (* x (+ (* -3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))> |
#<alt (* -1 (* x (+ (* -21/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x)> |
#<alt (* x (sqrt (/ 1 (PI))))> |
#<alt (* x (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))> |
#<alt (* x (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))> |
#<alt (* x (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))> |
#<alt (* x (sqrt (/ 1 (PI))))> |
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))))> |
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))))> |
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (sqrt (PI))> |
#<alt (+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI)))))> |
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (sqrt (PI))))))> |
#<alt (+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI)))))))))> |
#<alt (* (/ 1 (pow x 2)) (sqrt (PI)))> |
#<alt (/ (+ (sqrt (PI)) (* -1 (* (/ 1 (pow x 2)) (sqrt (PI))))) (pow x 2))> |
#<alt (/ (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* (/ 1 (pow x 4)) (sqrt (PI))))) (pow x 2))> |
#<alt (/ (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* -1 (* (/ 1 (pow x 6)) (sqrt (PI)))) (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 2))> |
#<alt (* (/ 1 (pow x 2)) (sqrt (PI)))> |
#<alt (/ (+ (sqrt (PI)) (* -1 (* (/ 1 (pow x 2)) (sqrt (PI))))) (pow x 2))> |
#<alt (/ (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* (/ 1 (pow x 4)) (sqrt (PI))))) (pow x 2))> |
#<alt (/ (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* -1 (* (/ 1 (pow x 6)) (sqrt (PI)))) (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 2))> |
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))> |
#<alt (* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))> |
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))> |
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))> |
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))> |
#<alt (* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))))> |
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 3/4 (sqrt (/ 1 (PI))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))))))) (pow x 7))> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) x)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) x)> |
#<alt (* (/ 1 x) (sqrt (/ 1 (PI))))> |
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) x))> |
#<alt (* -1 (/ (+ (* -15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) x))> |
#<alt (/ 15/8 (pow x 6))> |
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 6))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ 1 (pow x 2))))> |
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ 1 (pow x 2))))> |
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))))> |
#<alt (/ 15/8 (pow x 6))> |
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))> |
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2))> |
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))> |
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))> |
#<alt (* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))> |
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))> |
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))> |
#<alt (* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))> |
#<alt (* 1/6 (* (pow x 5) (sqrt (/ 1 (PI)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))))> |
#<alt (/ -15/8 (pow x 5))> |
#<alt (/ (- (* -3/4 (pow x 2)) 15/8) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 3/4)) 15/8) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/2)) 3/4)) 15/8) (pow x 5))> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))> |
#<alt (* -1 (* x (- (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))) 1)))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* -225/64 (* (/ 1 (pow x 12)) (sqrt (/ 1 (PI)))))> |
#<alt (/ (+ (* -405/64 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -225/64 (sqrt (/ 1 (PI))))) (pow x 12))> |
#<alt (/ (+ (* -225/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -897/128 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -405/64 (sqrt (/ 1 (PI))))))) (pow x 12))> |
#<alt (/ (+ (* -225/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -405/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -897/128 (sqrt (/ 1 (PI)))) (* -663/128 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 12))> |
#<alt (* 1/6 (* (pow x 6) (sqrt (/ 1 (PI)))))> |
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))> |
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 23/24 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))> |
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (* 23/24 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))))> |
#<alt (* 1/6 (* (pow x 6) (sqrt (/ 1 (PI)))))> |
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))> |
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 23/24 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))> |
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (* 23/24 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* 1/6 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))> |
#<alt (* 1/6 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/6 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))> |
#<alt (* 1/6 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI)))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI)))))))))> |
#<alt (* 1/6 (* (pow x 6) (sqrt (/ 1 (PI)))))> |
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))> |
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))> |
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))> |
#<alt (* 1/6 (* (pow x 6) (sqrt (/ 1 (PI)))))> |
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))> |
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))> |
#<alt (* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (* (/ (/ 1 x) (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
| 4.0ms | x | @ | -inf | (* (/ (/ 1 x) (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
| 3.0ms | x | @ | inf | (* (/ (/ 1 x) (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
| 3.0ms | x | @ | -inf | (/ (/ 1 x) (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2)))) |
| 2.0ms | x | @ | inf | (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2))) |
| 1× | batch-egg-rewrite |
| 3102× | *-lowering-*.f32 |
| 3102× | *-lowering-*.f64 |
| 2802× | fma-lowering-fma.f32 |
| 2802× | fma-lowering-fma.f64 |
| 2396× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 408 |
| 1 | 438 | 353 |
| 2 | 4258 | 347 |
| 0 | 8342 | 347 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ 1 x) (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ (/ 1 x) (/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2)))) |
(/ (sqrt (PI)) (pow (pow (exp x) 2) (/ x 2))) |
(pow (pow (exp x) 2) (/ x 2)) |
(/ (sqrt (/ 1 (PI))) x) |
(sqrt (/ 1 (PI))) |
(/ 1 (PI)) |
(PI) |
(* (/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* x x)))) (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ (/ 1 x) (/ (sqrt (PI)) (+ 1 (* x x)))) |
(/ 1 x) |
(/ (sqrt (PI)) (+ 1 (* x x))) |
(/ (/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) (* x (sqrt (PI)))) (/ 1 (+ 1 (* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6)))))))) |
(/ (+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) (* x (sqrt (PI)))) |
(+ 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))) |
(/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) |
(/ (* (/ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) (* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) |
(* (/ 1 (/ 1 x)) (- 1 (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)))) |
(/ 1 (/ 1 x)) |
(* (/ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) (sqrt (PI))) (- 1 (* (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x)) (/ (+ 1/2 (/ (+ 3/4 (/ 15/8 (* x x))) (* x x))) (* x x))))) |
(sqrt (PI)) |
(* (* x x) (+ 1/2 (* (* x x) 1/6))) |
(* (* x x) (+ 1 (* (* x x) (+ 1/2 (* (* x x) 1/6))))) |
(* x (* x (+ 1/2 (* (* x x) 1/6)))) |
(/ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/6))))))) (sqrt (PI))) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(+.f64 (/.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))) (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x)) |
(fma.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (/.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(fma.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(fma.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x)) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x)) (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x)) |
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x)) |
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))) (/.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))) (/.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(fma.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) |
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x |
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(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) x) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)))) (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) |
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) |
| 1× | egg-herbie |
| 4898× | *-lowering-*.f32 |
| 4898× | *-lowering-*.f64 |
| 3982× | +-lowering-+.f64 |
| 3982× | +-lowering-+.f32 |
| 1596× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 407 | 3786 |
| 1 | 1302 | 3374 |
| 2 | 4829 | 3227 |
| 0 | 8302 | 3227 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7)) |
(* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI)))) |
(/ (+ (* 1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))) x) |
(/ (+ (* 1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2)))))))) x) |
(/ (+ (* 1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))))) x) |
(* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI)))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))) (* -1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))) (+ (* -3/4 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI))))))) x)) |
(* -1 (/ (+ (* -15/8 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))) (+ (* -3/4 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI))))))))) x) |
(* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI)))) |
(* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI)))) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI))))) |
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* 1/2 (* (pow x 2) (sqrt (PI))))))) |
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI)))))))) |
(* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2))))))) |
(* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2))))))) |
(* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2))))))) |
(* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2))))))) |
(* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2))))))) |
(* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2))))))) |
(* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2))))))) |
(* (sqrt (PI)) (/ 1 (exp (* 1/2 (* x (log (pow (exp x) 2))))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))) |
(exp (* 1/2 (* x (log (pow (exp x) 2))))) |
(exp (* 1/2 (* x (log (pow (exp x) 2))))) |
(exp (* 1/2 (* x (log (pow (exp x) 2))))) |
(exp (* 1/2 (* x (log (pow (exp x) 2))))) |
(exp (* 1/2 (* x (log (pow (exp x) 2))))) |
(exp (* 1/2 (* x (log (pow (exp x) 2))))) |
(exp (* 1/2 (* x (log (pow (exp x) 2))))) |
(exp (* 1/2 (* x (log (pow (exp x) 2))))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 5/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 5/4 (sqrt (/ 1 (PI)))) (* 3/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7)) |
(* x (sqrt (/ 1 (PI)))) |
(* x (+ (sqrt (/ 1 (PI))) (* 3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) |
(* x (+ (sqrt (/ 1 (PI))) (+ (* 5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) |
(* x (+ (sqrt (/ 1 (PI))) (+ (* 5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 21/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))) |
(* x (sqrt (/ 1 (PI)))) |
(* -1 (* x (+ (* -3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))) |
(* -1 (* x (+ (* -3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) |
(* -1 (* x (+ (* -21/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -3/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* -5/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x) |
(* x (sqrt (/ 1 (PI)))) |
(* x (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) |
(* x (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) |
(* x (+ (sqrt (/ 1 (PI))) (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) |
(* x (sqrt (/ 1 (PI)))) |
(* -1 (* x (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) |
(* -1 (* x (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) |
(* -1 (* x (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI))))) |
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (sqrt (PI)))))) |
(+ (sqrt (PI)) (* (pow x 2) (+ (* -1 (sqrt (PI))) (* (pow x 2) (+ (sqrt (PI)) (* -1 (* (pow x 2) (sqrt (PI))))))))) |
(* (/ 1 (pow x 2)) (sqrt (PI))) |
(/ (+ (sqrt (PI)) (* -1 (* (/ 1 (pow x 2)) (sqrt (PI))))) (pow x 2)) |
(/ (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* (/ 1 (pow x 4)) (sqrt (PI))))) (pow x 2)) |
(/ (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* -1 (* (/ 1 (pow x 6)) (sqrt (PI)))) (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 2)) |
(* (/ 1 (pow x 2)) (sqrt (PI))) |
(/ (+ (sqrt (PI)) (* -1 (* (/ 1 (pow x 2)) (sqrt (PI))))) (pow x 2)) |
(/ (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* (/ 1 (pow x 4)) (sqrt (PI))))) (pow x 2)) |
(/ (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* -1 (* (/ 1 (pow x 6)) (sqrt (PI)))) (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 2)) |
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7)) |
(* 1/6 (* (pow x 5) (sqrt (/ 1 (PI))))) |
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) |
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))) |
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))) |
(* 1/6 (* (pow x 5) (sqrt (/ 1 (PI))))) |
(* -1 (* (pow x 5) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))) |
(* -1 (* (pow x 5) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))) |
(* -1 (* (pow x 5) (+ (* -35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))))) |
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 3/4 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* (pow x 2) (sqrt (/ 1 (PI))))))))) (pow x 7)) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) x) |
(/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) x) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) x)) |
(* -1 (/ (+ (* -15/8 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -3/4 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
(/ 15/8 (pow x 6)) |
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 6)) |
1 |
(+ 1 (* 1/2 (/ 1 (pow x 2)))) |
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) |
(+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* 1/2 (/ 1 (pow x 2)))) |
(+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) |
(+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) |
(/ 15/8 (pow x 6)) |
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 6)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6)) |
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 6)) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(/ (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))) (pow x 2)) |
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7)) |
(* 1/6 (* (pow x 5) (sqrt (/ 1 (PI))))) |
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) |
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))) |
(* (pow x 5) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))) |
(* 1/6 (* (pow x 5) (sqrt (/ 1 (PI))))) |
(* -1 (* (pow x 5) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))) |
(* -1 (* (pow x 5) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI)))))))) |
(* -1 (* (pow x 5) (+ (* -35/16 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -11/8 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -7/12 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/6 (sqrt (/ 1 (PI))))))))) |
(/ -15/8 (pow x 5)) |
(/ (- (* -3/4 (pow x 2)) 15/8) (pow x 5)) |
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 3/4)) 15/8) (pow x 5)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/2)) 3/4)) 15/8) (pow x 5)) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1))) |
(* -1 (* x (- (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))) 1))) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(* -225/64 (* (/ 1 (pow x 12)) (sqrt (/ 1 (PI))))) |
(/ (+ (* -405/64 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -225/64 (sqrt (/ 1 (PI))))) (pow x 12)) |
(/ (+ (* -225/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -897/128 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -405/64 (sqrt (/ 1 (PI))))))) (pow x 12)) |
(/ (+ (* -225/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -405/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -897/128 (sqrt (/ 1 (PI)))) (* -663/128 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 12)) |
(* 1/6 (* (pow x 6) (sqrt (/ 1 (PI))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 23/24 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (* 23/24 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))) |
(* 1/6 (* (pow x 6) (sqrt (/ 1 (PI))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 23/24 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (* 23/24 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(* 1/6 (pow x 4)) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 4)) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/2 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))) |
(* 1/6 (pow x 6)) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/6 (pow x 6)) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(* 1/6 (pow x 4)) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 4)) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) |
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI))))))))) |
(* 1/6 (* (pow x 6) (sqrt (/ 1 (PI))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) |
(* 1/6 (* (pow x 6) (sqrt (/ 1 (PI))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) |
| Outputs |
|---|
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI))))) |
(*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64)))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7)) |
(/.f64 (+.f64 (*.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 35/16 binary64)) #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 7 binary64))) |
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7)) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 35/16 binary64) (*.f64 (*.f64 x x) #s(literal 35/16 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64))) |
(* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)) |
(/ (+ (* 1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))) x) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x))))) (*.f64 x x)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))))) x) |
(/ (+ (* 1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2)))))))) x) |
(/.f64 (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))) (*.f64 x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))) (/.f64 (*.f64 #s(literal 3/4 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))))) x) |
(/ (+ (* 1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))))) x) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))) (/.f64 (*.f64 #s(literal 15/8 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x))))) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x))))) (*.f64 x x)) (/.f64 (*.f64 #s(literal 3/4 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))))) x) |
(* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) x) (sqrt (/ 1 (PI)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))) (* -1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI)))))) x)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))) (*.f64 x x)) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))) (+ (* -3/4 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI))))))) x)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -3/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -15/8 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (* 1/2 (* x (log (pow (exp x) 2))))))) (+ (* -3/4 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (* 1/2 (* x (log (pow (exp x) 2))))) (pow x 2)) (sqrt (/ 1 (PI)))))))) x)) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -3/4 binary64)))) (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -15/8 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x x))))))) (-.f64 #s(literal 0 binary64) x)) |
(* (/ 1 x) (sqrt (/ 1 (PI)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) x) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(/ (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) x) |
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(/.f64 (+.f64 #s(literal -15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/2)) 3/4)) 15/8) (pow x 5)) |
(/.f64 (+.f64 #s(literal -15/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) (pow.f64 x #s(literal 5 binary64))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* x (- (+ 1 (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* -1 (* x (- (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1))) |
(*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (- (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6))))) 1))) |
(*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64)))))) #s(literal -1 binary64))) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(* -225/64 (* (/ 1 (pow x 12)) (sqrt (/ 1 (PI))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal -225/64 binary64) (pow.f64 x #s(literal 12 binary64)))) |
(/ (+ (* -405/64 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -225/64 (sqrt (/ 1 (PI))))) (pow x 12)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (*.f64 x x) #s(literal -405/64 binary64)) #s(literal -225/64 binary64))) (pow.f64 x #s(literal 12 binary64))) |
(/ (+ (* -225/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -897/128 (* (pow x 2) (sqrt (/ 1 (PI))))) (* -405/64 (sqrt (/ 1 (PI))))))) (pow x 12)) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -225/64 binary64)) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (*.f64 x x) #s(literal -897/128 binary64)) #s(literal -405/64 binary64))))) (pow.f64 x #s(literal 12 binary64))) |
(/ (+ (* -225/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -405/64 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* -897/128 (sqrt (/ 1 (PI)))) (* -663/128 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 12)) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (*.f64 x x) #s(literal -405/64 binary64)) #s(literal -225/64 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal -897/128 binary64) (*.f64 (*.f64 x x) #s(literal -663/128 binary64))))))) (pow.f64 x #s(literal 12 binary64))) |
(* 1/6 (* (pow x 6) (sqrt (/ 1 (PI))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 23/24 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 23/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (* 23/24 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 23/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/6 (* (pow x 6) (sqrt (/ 1 (PI))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 23/24 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 23/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (* 23/24 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 23/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* 1/6 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/2 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(* 1/6 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* 1/6 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* 1/6 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(sqrt (/ 1 (PI))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) |
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (sqrt (/ 1 (PI))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (PI)))))))) |
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))) |
(+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (sqrt (/ 1 (PI))) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/2 (sqrt (/ 1 (PI))))))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(* 1/6 (* (pow x 6) (sqrt (/ 1 (PI))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/6 (* (pow x 6) (sqrt (/ 1 (PI))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(* (pow x 6) (+ (* 1/6 (sqrt (/ 1 (PI)))) (+ (* 1/2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))) (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
Compiled 91800 to 4167 computations (95.5% saved)
56 alts after pruning (54 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1541 | 28 | 1569 |
| Fresh | 11 | 26 | 37 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1557 | 56 | 1613 |
| Status | Accuracy | Program |
|---|---|---|
| 2.4% | (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) | |
| 84.6% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) | |
| 84.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) | |
| 16.1% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) | |
| 5.5% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))))) | |
| 84.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))))) | |
| 84.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) x)))) | |
| 36.1% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))))) | |
| 13.5% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))))) | |
| 84.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) x))))))) | |
| 77.4% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 99.9% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) | |
| 84.5% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) | |
| 84.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) | |
| 84.5% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) | |
| 84.6% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) | |
| 84.5% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) | |
| 2.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) | |
| 99.9% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x)))) | |
| 84.6% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) | |
| 2.4% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) | |
| 10.2% | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) | |
| 84.6% | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) | |
| 84.5% | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) | |
| 2.1% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) | |
| 2.4% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) | |
| 1.3% | (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) | |
| 99.9% | (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))) | |
| 84.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) | |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
| 98.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) | |
| 50.6% | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 98.9% | (*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 100.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 100.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| ✓ | 100.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| 36.1% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 13.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 84.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 84.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) | |
| 84.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 50.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) | |
| 50.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 50.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) | |
| 99.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) | |
| 1.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 2.4% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) | |
| 84.6% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) | |
| 84.6% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))) | |
| 99.9% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) | |
| 50.5% | (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 84.6% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) | |
| 99.0% | (*.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) | |
| 51.5% | (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (/.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) | |
| 5.4% | (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) | |
| 5.4% | (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
Compiled 6336 to 1686 computations (73.4% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
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(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) x)) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))) |
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (/.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 x) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal -3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal -3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x)))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal -3/4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) x) x))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
3 calls:
| 36.0ms | (fabs.f64 x) |
| 35.0ms | x |
| 29.0ms | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
| 100.0% | 1 | (fabs.f64 x) |
Compiled 109 to 34 computations (68.8% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
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(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) x)) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))) |
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (/.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
1 calls:
| 33.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
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(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) x)) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))) |
(/.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (/.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (/.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
1 calls:
| 33.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
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(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) x) (exp.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) |
1 calls:
| 28.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
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(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 21/8 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
1 calls:
| 28.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
1 calls:
| 26.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (*.f64 x x))) x) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) |
1 calls:
| 26.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) |
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(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))))) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
1 calls:
| 27.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
1 calls:
| 23.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))))) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
1 calls:
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))))) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
1 calls:
| 24.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
1 calls:
| 25.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)))))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))) |
1 calls:
| 21.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (sqrt.f64 (PI.f64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))) |
1 calls:
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
1 calls:
| 37.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 3/2 binary64)))) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) |
| Outputs |
|---|
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
| Outputs |
|---|
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.4% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 63.0ms | 3.2453122463159586e+50 | 1.1302640136198476e+52 |
| 51.0ms | 112× | 0 | valid |
Compiled 913 to 370 computations (59.5% saved)
ival-mult: 22.0ms (50.3% of total)ival-div: 12.0ms (27.4% of total)ival-add: 4.0ms (9.1% of total)ival-exp: 2.0ms (4.6% of total)ival-sqrt: 2.0ms (4.6% of total)ival-pi: 1.0ms (2.3% of total)ival-fabs: 1.0ms (2.3% of total)const: 1.0ms (2.3% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 63.0ms | 3.2453122463159586e+50 | 1.1302640136198476e+52 |
| 50.0ms | 112× | 0 | valid |
Compiled 913 to 377 computations (58.7% saved)
ival-mult: 23.0ms (54.3% of total)ival-div: 9.0ms (21.3% of total)ival-add: 4.0ms (9.4% of total)ival-exp: 2.0ms (4.7% of total)ival-sqrt: 2.0ms (4.7% of total)ival-pi: 1.0ms (2.4% of total)ival-fabs: 1.0ms (2.4% of total)const: 1.0ms (2.4% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 2.2022918483544418e+76 | 4.576429352245047e+77 |
| 22.0ms | 48× | 0 | valid |
Compiled 420 to 187 computations (55.5% saved)
ival-mult: 9.0ms (47% of total)ival-div: 5.0ms (26.1% of total)ival-add: 2.0ms (10.4% of total)ival-exp: 1.0ms (5.2% of total)ival-fabs: 1.0ms (5.2% of total)ival-sqrt: 1.0ms (5.2% of total)ival-pi: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.2022918483544418e+76 | 4.576429352245047e+77 |
| 14.0ms | 32× | 0 | valid |
Compiled 312 to 146 computations (53.2% saved)
ival-mult: 6.0ms (51.4% of total)ival-div: 3.0ms (25.7% of total)ival-add: 1.0ms (8.6% of total)ival-sqrt: 1.0ms (8.6% of total)ival-pi: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-fabs: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 2.2022918483544418e+76 | 4.576429352245047e+77 |
| 18.0ms | 32× | 0 | valid |
Compiled 312 to 142 computations (54.5% saved)
ival-mult: 6.0ms (39.2% of total)ival-sqrt: 4.0ms (26.1% of total)ival-div: 2.0ms (13.1% of total)ival-add: 1.0ms (6.5% of total)ival-pi: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-fabs: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 164× | *-commutative_binary64 |
| 160× | unsub-neg_binary64 |
| 134× | neg-mul-1_binary64 |
| 124× | +-commutative_binary64 |
| 106× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 1022 |
| 1 | 288 | 1022 |
| 2 | 347 | 1022 |
| 3 | 400 | 1022 |
| 4 | 453 | 1022 |
| 5 | 488 | 1022 |
| 6 | 591 | 1022 |
| 7 | 757 | 1022 |
| 8 | 769 | 1022 |
| 9 | 772 | 1022 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) |
(if (<=.f64 x #s(literal 3200000000000000244152634914940384105438879070289920 binary64)) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) |
(if (<=.f64 x #s(literal 3200000000000000244152634914940384105438879070289920 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) |
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 x x)))) |
(if (<=.f64 x #s(literal 3200000000000000244152634914940384105438879070289920 binary64)) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) |
(if (<=.f64 x #s(literal 3200000000000000244152634914940384105438879070289920 binary64)) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) |
(if (<=.f64 x #s(literal 3200000000000000244152634914940384105438879070289920 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) |
(if (<=.f64 x #s(literal 3200000000000000244152634914940384105438879070289920 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) |
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))) |
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))) |
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))))) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) |
| 5116× | *-lowering-*.f32 |
| 5116× | *-lowering-*.f64 |
| 4898× | *-lowering-*.f32 |
| 4898× | *-lowering-*.f64 |
| 4130× | +-lowering-+.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 381 |
| 1 | 528 | 315 |
| 2 | 6502 | 314 |
| 0 | 8500 | 314 |
| 0 | 34 | 76 |
| 1 | 95 | 47 |
| 2 | 343 | 35 |
| 3 | 1451 | 31 |
| 4 | 3973 | 31 |
| 5 | 6187 | 30 |
| 6 | 7725 | 30 |
| 0 | 8057 | 30 |
| 0 | 364 | 3546 |
| 1 | 1055 | 3204 |
| 2 | 3757 | 3072 |
| 3 | 7395 | 3058 |
| 0 | 8267 | 3058 |
| 0 | 42 | 309 |
| 1 | 332 | 272 |
| 2 | 3491 | 272 |
| 0 | 8136 | 272 |
| 0 | 54 | 408 |
| 1 | 438 | 353 |
| 2 | 4258 | 347 |
| 0 | 8342 | 347 |
| 0 | 46 | 258 |
| 1 | 294 | 187 |
| 2 | 3333 | 164 |
| 0 | 8707 | 164 |
| 0 | 354 | 3416 |
| 1 | 1148 | 3043 |
| 2 | 4417 | 2922 |
| 0 | 8153 | 2922 |
| 0 | 407 | 3786 |
| 1 | 1302 | 3374 |
| 2 | 4829 | 3227 |
| 0 | 8302 | 3227 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2562 to 1081 computations (57.8% saved)
(abs x)
Compiled 2902 to 830 computations (71.4% saved)
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