
Time bar (total: 5.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 0% | 50% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 0% | 50% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 0% | 50% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 0% | 50% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 0% | 50% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 0% | 50% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 0% | 50% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 0% | 50% | 0% | 12 |
Compiled 15 to 13 computations (13.3% saved)
| 1.8s | 3 298× | 2 | valid |
| 1.5s | 4 805× | 1 | valid |
| 15.0ms | 153× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
ival-asin: 1.3s (45.5% of total)adjust: 374.0ms (13.2% of total)ival-sub: 302.0ms (10.7% of total)ival-div: 290.0ms (10.2% of total)ival-mult: 212.0ms (7.5% of total)ival-sqrt: 180.0ms (6.4% of total)ival-pi: 174.0ms (6.1% of total)exact: 10.0ms (0.4% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 254 | 0 | - | 0 | - | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 0 | 0 | - | 0 | - | (/.f64 (PI.f64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (PI.f64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) | cancellation | 254 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 254 | 0 |
| - | 0 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 254 | 0 | 0 |
| - | 0 | 0 | 2 |
| number | freq |
|---|---|
| 0 | 2 |
| 1 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 145.0ms | 200× | 2 | valid |
| 75.0ms | 300× | 1 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 117 to 37 computations (68.4% saved)
ival-asin: 63.0ms (34.1% of total)ival-pi: 56.0ms (30.4% of total)adjust: 19.0ms (10.3% of total)ival-div: 16.0ms (8.7% of total)ival-sub: 11.0ms (6% of total)ival-sqrt: 10.0ms (5.4% of total)ival-mult: 9.0ms (4.9% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 42 |
| 1 | 38 | 42 |
| 2 | 74 | 39 |
| 3 | 191 | 39 |
| 4 | 654 | 39 |
| 5 | 3079 | 39 |
| 6 | 7823 | 39 |
| 0 | 11 | 13 |
| 0 | 19 | 13 |
| 1 | 32 | 13 |
| 2 | 52 | 13 |
| 3 | 119 | 13 |
| 4 | 393 | 13 |
| 5 | 1792 | 13 |
| 6 | 5432 | 13 |
| 0 | 8675 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| Outputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
Compiled 13 to 11 computations (15.4% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.8% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) 2 (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x) |
| 3.0ms | x | @ | -inf | ((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) 2 (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x) |
| 1.0ms | x | @ | 0 | ((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) 2 (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 707 |
| 0 | 161 | 608 |
| 0 | 767 | 587 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) |
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x)) |
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x)) |
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x)) |
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(approx (- 1 x) (neg.f64 x)) |
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))))) |
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64))) |
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))) |
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))) |
#s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
Compiled 1 184 to 291 computations (75.4% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 7 | 55 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 49 | 7 | 56 |
| Status | Accuracy | Program |
|---|---|---|
| 6.8% | (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))) | |
| 6.8% | (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) | |
| ▶ | 8.3% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))) |
| ▶ | 6.6% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) |
| ▶ | 6.8% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))))) |
| ▶ | 6.9% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))))) |
| ▶ | 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
Compiled 400 to 226 computations (43.5% saved)
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(literal -2 binary64) |
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))) |
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 #s(literal 2 binary64)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))) |
(fma.f64 x x (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))))) |
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI))))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 1/2)) |
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x))) |
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* -1/2 x)) x))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))) |
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) |
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2)))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))))))) |
#s(approx (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))))) |
#s(approx (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) #s(hole binary64 1/2)) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 1)) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 1)) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (+ 1 (* -1 (pow x 3))))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 1)) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (+ 1 x))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (+ 1 (* x (+ 1 x))))) |
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 x)) |
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 (* x (+ 1 x)))) |
#s(approx (* 1 x) #s(hole binary64 x)) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1/2 x))) |
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (- (* 1/2 (/ 1 x)) 1/2))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (* -1 x))) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (pow x 3)))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 3)) 1)))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (pow x 2))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x))))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))) |
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))) |
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x)))))))))) |
#s(approx (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x))))))))) |
#s(approx (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x)))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (sqrt 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))))) (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (- 1 (pow x 3)) (pow x 3) 3 (+ 1 (+ (* x x) (* 1 x))) (+ (* x x) (* 1 x)) (* 1 x)) |
| 6.0ms | x | @ | inf | ((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (sqrt 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))))) (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (- 1 (pow x 3)) (pow x 3) 3 (+ 1 (+ (* x x) (* 1 x))) (+ (* x x) (* 1 x)) (* 1 x)) |
| 6.0ms | x | @ | 0 | ((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (sqrt 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))))) (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (- 1 (pow x 3)) (pow x 3) 3 (+ 1 (+ (* x x) (* 1 x))) (+ (* x x) (* 1 x)) (* 1 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 483 | 4182 |
| 0 | 551 | 3195 |
| 0 | 2343 | 3101 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(literal -2 binary64) |
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))) |
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 #s(literal 2 binary64)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))) |
(fma.f64 x x (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))))) |
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI))))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 1/2)) |
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x))) |
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* -1/2 x)) x))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))) |
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) |
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2)))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))))))) |
#s(approx (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))))) |
#s(approx (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) #s(hole binary64 1/2)) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 1)) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 1)) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (+ 1 (* -1 (pow x 3))))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 1)) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (+ 1 x))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (+ 1 (* x (+ 1 x))))) |
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 x)) |
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 (* x (+ 1 x)))) |
#s(approx (* 1 x) #s(hole binary64 x)) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1/2 x))) |
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (- (* 1/2 (/ 1 x)) 1/2))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (* -1 x))) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (pow x 3)))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 3)) 1)))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (pow x 2))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x))))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))) |
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (* 1 x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))) |
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x)))))))))) |
#s(approx (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x))))))))) |
#s(approx (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (- (+ 1 (pow x 2)) (* -1 x)))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3))))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
#s(literal 1 binary64) |
x |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))))) |
(fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
(-.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(literal -2 binary64) |
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))))) |
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(+.f64 x (*.f64 x x)) |
x |
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#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (* 1 x) x) |
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#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)) |
#s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
#s(approx (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(literal 1/2 binary64)) |
#s(approx (* (- (/ 1/2 x) 1/2) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
#s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (/ 1/2 x) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))) |
#s(approx (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (fma.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) |
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (- 1 (pow x 3)) #s(literal 1 binary64)) |
#s(approx (- 1 (pow x 3)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) |
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) #s(literal 1 binary64)) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* x x) (* 1 x)) x) |
#s(approx (+ (* x x) (* 1 x)) (fma.f64 x x x)) |
#s(approx (* 1 x) x) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x)) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x)) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x)) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (neg.f64 x)) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x)) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x)) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x)) |
#s(approx (* 1/2 (- 1 x)) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (* 1/2 (- 1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(approx (* (- (/ 1/2 x) 1/2) x) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (* (- (/ 1/2 x) 1/2) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(approx (- (/ 1/2 x) 1/2) #s(literal -1/2 binary64)) |
#s(approx (- (/ 1/2 x) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x)) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x)) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x)) |
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x))) |
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x)) |
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) x)) |
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) x)) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x)) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x)) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x)) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (neg.f64 x)) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (- 1 (pow x 3)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- 1 (pow x 3)) (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) (*.f64 x x)) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ 1 (+ (* x x) (* 1 x))) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (+ (* x x) (* 1 x)) (*.f64 x x)) |
#s(approx (+ (* x x) (* 1 x)) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) |
#s(approx (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) |
#s(approx (acos (sqrt (/ (- 1 x) 2))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))) |
#s(approx (* 1/2 (- 1 x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (* (- (/ 1/2 x) 1/2) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))) |
#s(approx (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))) |
#s(approx (sqrt (- 1 x)) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))))))) |
#s(approx (* 2 (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64))) |
#s(approx (asin (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))) |
#s(approx (sqrt (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))) |
#s(approx (/ (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (- 1 (pow x 3)) (+ 1 (+ (* x x) (* 1 x)))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- 1 (pow x 3)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))))) |
Compiled 9 276 to 1 600 computations (82.8% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 296 | 8 | 304 |
| Fresh | 2 | 0 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 302 | 9 | 311 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.3% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))))))) |
| ✓ | 6.6% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) |
| ▶ | 4.0% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
| ▶ | 8.3% | #s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) | |
| ▶ | 4.2% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))) |
| ▶ | 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) |
Compiled 588 to 376 computations (36.1% saved)
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))) |
#s(literal -2 binary64) |
(asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))))) |
(-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (* x (+ 1 x)))))))))))) |
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (* x (+ 1 x))))))))))) |
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (* x (+ 1 x)))))))))) |
#s(approx (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (* x (+ 1 x))))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 1)) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (+ 1 (* -1 (pow x 3))))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) #s(hole binary64 2)) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) #s(hole binary64 (+ 2 (* 2 x)))) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x)))))) |
#s(approx (+ (* (+ x 1) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ x 1) x) 1) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (* (+ x 1) x) 1) #s(hole binary64 (+ 1 (* x (+ 1 x))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI))))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) (* 1/2 (PI))))) |
#s(approx (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (acos (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))) |
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) |
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2)))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))))) |
#s(approx (/ (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))) |
#s(approx (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3))))) |
#s(approx (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3) #s(hole binary64 (* 8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)))) |
#s(approx (* (asin (sqrt (* 1/2 (- 1 x)))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))) |
#s(approx (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))))))) |
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))))))) |
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))))) |
#s(approx (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (pow x 3)))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 3)) 1)))) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) #s(hole binary64 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) #s(hole binary64 (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))) |
#s(approx (+ (* (+ x 1) x) 1) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (+ x 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x))))) |
#s(approx (+ (* (+ x 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (+ 1 (* x (- 1 (* -1 x))))))))))))) |
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (+ 1 (* x (- 1 (* -1 x)))))))))))) |
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (+ 1 (* x (- 1 (* -1 x))))))))))) |
#s(approx (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (+ 1 (* x (- 1 (* -1 x)))))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (* 1/2 (PI))))) |
#s(approx (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (acos (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (/ (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))) |
#s(approx (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3))))) |
#s(approx (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3) #s(hole binary64 (* 8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)))) |
#s(approx (* (asin (sqrt (* 1/2 (- 1 x)))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))) |
#s(approx (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | -inf | ((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))))) (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))) (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) (- 1 (pow x 3)) 1 (pow x 3) x 3 (* (+ (* (+ x 1) x) 1) 2) (+ (* (+ x 1) x) 1) (+ x 1) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))))) (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x)))))) (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))) (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- 1 x) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (sqrt 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3) (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (asin (sqrt (* 1/2 (- 1 x)))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) |
| 12.0ms | x | @ | 0 | ((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))))) (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))) (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) (- 1 (pow x 3)) 1 (pow x 3) x 3 (* (+ (* (+ x 1) x) 1) 2) (+ (* (+ x 1) x) 1) (+ x 1) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))))) (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x)))))) (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))) (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- 1 x) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (sqrt 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3) (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (asin (sqrt (* 1/2 (- 1 x)))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) |
| 7.0ms | x | @ | inf | ((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))))) (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))) (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) (- 1 (pow x 3)) 1 (pow x 3) x 3 (* (+ (* (+ x 1) x) 1) 2) (+ (* (+ x 1) x) 1) (+ x 1) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))))) (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x)))))) (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))) (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- 1 x) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (sqrt 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3) (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (asin (sqrt (* 1/2 (- 1 x)))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 538 | 4730 |
| 0 | 618 | 3998 |
| 0 | 2830 | 3876 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))) |
#s(literal -2 binary64) |
(asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))))) |
(-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (* x (+ 1 x)))))))))))) |
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (* x (+ 1 x))))))))))) |
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (* x (+ 1 x)))))))))) |
#s(approx (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (* x (+ 1 x))))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) #s(hole binary64 1/2)) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 1)) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (+ 1 (* -1 (pow x 3))))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) #s(hole binary64 2)) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) #s(hole binary64 (+ 2 (* 2 x)))) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x)))))) |
#s(approx (+ (* (+ x 1) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ x 1) x) 1) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (* (+ x 1) x) 1) #s(hole binary64 (+ 1 (* x (+ 1 x))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI))))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) (* 1/2 (PI))))) |
#s(approx (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (acos (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))) |
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) |
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2)))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))))) |
#s(approx (/ (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))) |
#s(approx (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3))))) |
#s(approx (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3) #s(hole binary64 (* 8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)))) |
#s(approx (* (asin (sqrt (* 1/2 (- 1 x)))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))) |
#s(approx (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))))))) |
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))))))) |
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2)))))))))) |
#s(approx (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (/ (- 1 (pow x 3)) (+ 1 (+ x (pow x 2))))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (pow x 3)))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 3)) 1)))) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) #s(hole binary64 (* (pow x 2) (+ 2 (* 2 (/ 1 x)))))) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) #s(hole binary64 (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))))) |
#s(approx (+ (* (+ x 1) x) 1) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (+ x 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x))))) |
#s(approx (+ (* (+ x 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (+ 1 (* x (- 1 (* -1 x))))))))))))) |
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (+ 1 (* x (- 1 (* -1 x)))))))))))) |
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (+ 1 (* x (- 1 (* -1 x))))))))))) |
#s(approx (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (/ (+ 1 (* -1 (pow x 3))) (+ 1 (* x (- 1 (* -1 x)))))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (- 1 (pow x 3)) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (* 1/2 (PI))))) |
#s(approx (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (acos (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (/ (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) #s(hole binary64 (/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))) |
#s(approx (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) #s(hole binary64 (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3))))) |
#s(approx (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3) #s(hole binary64 (* 8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)))) |
#s(approx (* (asin (sqrt (* 1/2 (- 1 x)))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))) |
#s(approx (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
x |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) |
(+.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(literal 1/2 binary64) |
(*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))) |
#s(literal -2 binary64) |
(asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) |
(fma.f64 (fabs.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (fabs.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) |
(fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))))))) |
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))))) #s(literal 2 binary64))) |
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))))) |
#s(approx (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
#s(approx (- 1 (pow x 3)) #s(literal 1 binary64)) |
#s(approx (- 1 (pow x 3)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64))) |
#s(approx x x) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) #s(literal 2 binary64)) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ (* (+ x 1) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ x 1) x) 1) (+.f64 x #s(literal 1 binary64))) |
#s(approx (+ (* (+ x 1) x) 1) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (/ (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)) |
#s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x)))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64))) |
#s(approx (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) |
#s(approx (acos (sqrt (* 1/2 (- 1 x)))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))) |
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) |
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (PI.f64)))))) |
#s(approx (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))))) |
#s(approx (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) |
#s(approx (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (PI.f64))))) |
#s(approx (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (PI.f64)))) |
#s(approx (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (PI.f64))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))))))) |
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))))) #s(literal 2 binary64))) |
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))))) |
#s(approx (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(approx (- 1 (pow x 3)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- 1 (pow x 3)) (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 x x))) |
#s(approx (* (+ (* (+ x 1) x) 1) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 x x))) |
#s(approx (+ (* (+ x 1) x) 1) (*.f64 x x)) |
#s(approx (+ (* (+ x 1) x) 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (* (+ x 1) x) 1) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))) |
#s(approx (+ x 1) x) |
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)) |
#s(approx (* 1/2 (- 1 x)) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (* 1/2 (- 1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(approx (- 1 x) (neg.f64 x)) |
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)) |
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x))) |
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x)) |
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) x)) |
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) x)) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) x #s(literal 1 binary64)))))))))) |
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) x #s(literal 1 binary64))))))) #s(literal 2 binary64))) |
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) x #s(literal 1 binary64)))))))) |
#s(approx (acos (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) x #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (sqrt (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) |
#s(approx (/ (- 1 (pow x 3)) (* (+ (* (+ x 1) x) 1) 2)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- 1 (pow x 3)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (/ (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) |
#s(approx (* 1/2 (- 1 x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (* -2 (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x)))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) #s(literal -2 binary64))) |
#s(approx (- (* 1/2 (PI)) (acos (sqrt (* 1/2 (- 1 x))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))) |
#s(approx (acos (sqrt (* 1/2 (- 1 x)))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) |
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) |
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) |
#s(approx (sqrt (- 1 x)) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))))) |
#s(approx (/ (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) (PI.f64)))))) |
#s(approx (- (pow (* 1/2 (PI)) 3) (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3)) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 3 binary64))))) |
#s(approx (pow (* (asin (sqrt (* 1/2 (- 1 x)))) 2) 3) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) |
#s(approx (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64))) |
#s(approx (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) (PI.f64))))) |
#s(approx (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) (PI.f64)))) |
#s(approx (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) (PI.f64))) |
Compiled 24 819 to 2 083 computations (91.6% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 463 | 12 | 475 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 465 | 19 | 484 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 6.6% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) |
| ✓ | 4.0% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
| ▶ | 8.3% | #s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
| ✓ | 8.3% | #s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) |
| 5.5% | #s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- 1 x) #s(literal 1 binary64))))))))) | |
| 8.3% | #s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64))))))) | |
| 8.3% | #s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))) | |
| ▶ | 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
| ✓ | 4.2% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))) |
| ▶ | 6.9% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) |
| ▶ | 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) | |
| 8.3% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) | |
| 3.0% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) | |
| ▶ | 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) |
Compiled 2 202 to 1 017 computations (53.8% saved)
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))) |
#s(literal 1/2 binary64) |
(PI.f64) |
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
#s(literal -2 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
(*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) |
#s(literal -8 binary64) |
(pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) (* 1/2 (PI))))) |
#s(approx (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (acos (* (sqrt (- 1 x)) (sqrt 1/2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (sqrt 1/2))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI))))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))) |
#s(approx (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) |
#s(approx (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))) |
#s(approx (* (asin (sqrt (* 1/2 (- 1 x)))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (/ (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) #s(hole binary64 (/ (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))) |
#s(approx (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) #s(hole binary64 (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) (* 1/8 (pow (PI) 3))))) |
#s(approx (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3)) #s(hole binary64 (* -8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)))) |
#s(approx (pow (asin (sqrt (* 1/2 (- 1 x)))) 3) #s(hole binary64 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3))) |
#s(approx (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))) |
#s(approx (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (/ (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) #s(hole binary64 (/ (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))) |
#s(approx (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) #s(hole binary64 (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x))) |
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (* 1/2 (PI))))) |
#s(approx (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (acos (* (sqrt (- 1 x)) (sqrt 1/2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))) |
#s(approx (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) |
#s(approx (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))) |
#s(approx (* (asin (sqrt (* 1/2 (- 1 x)))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (/ (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) #s(hole binary64 (/ (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))) |
#s(approx (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) #s(hole binary64 (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) (* 1/8 (pow (PI) 3))))) |
#s(approx (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3)) #s(hole binary64 (* -8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)))) |
#s(approx (pow (asin (sqrt (* 1/2 (- 1 x)))) 3) #s(hole binary64 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3))) |
#s(approx (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))) |
#s(approx (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (/ (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) #s(hole binary64 (/ (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))) |
#s(approx (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) #s(hole binary64 (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | -inf | ((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))))) 1/2 (PI) (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2))))) -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))) (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2))) (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 1/2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (+ (* -1/2 x) 1/2) -1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) 2 (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (pow (* 1/2 (PI)) 2) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3)) -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3) 3 (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (pow (* 1/2 (PI)) 3/2) 3/2) |
| 13.0ms | x | @ | 0 | ((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))))) 1/2 (PI) (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2))))) -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))) (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2))) (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 1/2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (+ (* -1/2 x) 1/2) -1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) 2 (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (pow (* 1/2 (PI)) 2) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3)) -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3) 3 (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (pow (* 1/2 (PI)) 3/2) 3/2) |
| 7.0ms | x | @ | inf | ((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))))) 1/2 (PI) (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2))))) -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))) (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2))) (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 1/2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (+ (* -1/2 x) 1/2) -1/2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) 2 (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (pow (* 1/2 (PI)) 2) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3)) -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3) 3 (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (pow (* 1/2 (PI)) 3/2) 3/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 389 | 4081 |
| 0 | 472 | 3320 |
| 0 | 2009 | 3201 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
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#s(literal 1/2 binary64) |
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#s(literal -2 binary64) |
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#s(literal 1 binary64) |
x |
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#s(literal 2 binary64) |
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#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) (* 1/2 (PI))))) |
#s(approx (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (acos (* (sqrt (- 1 x)) (sqrt 1/2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (sqrt 1/2))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI))))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x)))) |
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))) |
#s(approx (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) |
#s(approx (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))) |
#s(approx (* (asin (sqrt (* 1/2 (- 1 x)))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (/ (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) #s(hole binary64 (/ (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))) |
#s(approx (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) #s(hole binary64 (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) (* 1/8 (pow (PI) 3))))) |
#s(approx (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3)) #s(hole binary64 (* -8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)))) |
#s(approx (pow (asin (sqrt (* 1/2 (- 1 x)))) 3) #s(hole binary64 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3))) |
#s(approx (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))) |
#s(approx (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) |
#s(approx (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) |
#s(approx (/ (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) #s(hole binary64 (/ (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))) |
#s(approx (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) #s(hole binary64 (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x))) |
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2)))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))))) #s(hole binary64 (+ (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (* 1/2 (PI))))) |
#s(approx (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2))))) #s(hole binary64 (* -2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (acos (* (sqrt (- 1 x)) (sqrt 1/2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))) |
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))) |
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))))) |
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))) |
#s(approx (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) |
#s(approx (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))) |
#s(approx (* (asin (sqrt (* 1/2 (- 1 x)))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (/ (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) #s(hole binary64 (/ (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))) |
#s(approx (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) #s(hole binary64 (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) (* 1/8 (pow (PI) 3))))) |
#s(approx (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3)) #s(hole binary64 (* -8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)))) |
#s(approx (pow (asin (sqrt (* 1/2 (- 1 x)))) 3) #s(hole binary64 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3))) |
#s(approx (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))) |
#s(approx (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) #s(hole binary64 (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) |
#s(approx (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) #s(hole binary64 (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
#s(approx (/ (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) #s(hole binary64 (/ (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2))) (+ (* 1/4 (pow (PI) 2)) (+ (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* (PI) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))) |
#s(approx (+ (* (pow (* 1/2 (PI)) 3/2) (pow (* 1/2 (PI)) 3/2)) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) #s(hole binary64 (+ (* -8 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) (* (pow (PI) 3) (pow (sqrt 1/8) 2))))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64))) |
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) |
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64))) |
#s(literal 1/2 binary64) |
(PI.f64) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) |
#s(literal -2 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) |
(+.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(*.f64 (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(pow.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1/2 binary64) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
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(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3/2 binary64))) |
#s(literal 3/2 binary64) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64))) |
#s(approx (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) |
#s(approx (acos (* (sqrt (- 1 x)) (sqrt 1/2))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) |
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)) |
#s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
#s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* -1/2 x) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) |
#s(approx (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
#s(approx (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (/ (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (PI.f64)))))) |
#s(approx (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
#s(approx (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal -8 binary64))) |
#s(approx (pow (asin (sqrt (* 1/2 (- 1 x)))) 3) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) |
#s(approx (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (PI.f64))))) |
#s(approx (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (PI.f64)))) |
#s(approx (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (PI.f64))) |
#s(approx (/ (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (PI.f64)))))) |
#s(approx (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x)) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x)) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x)) |
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x))) |
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x)) |
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) x)) |
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) x)) |
#s(approx (- 1 x) (neg.f64 x)) |
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x)) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x)) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x)) |
#s(approx (* 1/2 (- 1 x)) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (* 1/2 (- 1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* -1/2 x) 1/2) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (+ (* 1/2 (PI)) (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (* -2 (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) #s(literal -2 binary64))) |
#s(approx (- (* 1/2 (PI)) (acos (* (sqrt (- 1 x)) (sqrt 1/2)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))) |
#s(approx (acos (* (sqrt (- 1 x)) (sqrt 1/2))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))) |
#s(approx (sqrt (- 1 x)) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))))) |
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64))) |
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))) |
#s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))) |
#s(approx (* 1/2 (- 1 x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (- (* (* 1/2 (PI)) (* 1/2 (PI))) (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64))))) |
#s(approx (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
#s(approx (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64))) |
#s(approx (+ (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (/ (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) (PI.f64)))))) |
#s(approx (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
#s(approx (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64))) |
#s(approx (pow (asin (sqrt (* 1/2 (- 1 x)))) 3) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 3 binary64))) |
#s(approx (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) (PI.f64))))) |
#s(approx (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) (PI.f64)))) |
#s(approx (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) (PI.f64))) |
#s(approx (/ (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (+ (* (* 1/2 (PI)) (* 1/2 (PI))) (+ (* (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* (asin (sqrt (* 1/2 (- 1 x)))) 2)) (* (* 1/2 (PI)) (* (asin (sqrt (* 1/2 (- 1 x)))) 2))))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) (PI.f64)))))) |
#s(approx (+ (* (pow (* 1/2 (PI)) 2) (* 1/2 (PI))) (* -8 (pow (asin (sqrt (* 1/2 (- 1 x)))) 3))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
Compiled 40 893 to 2 042 computations (95% saved)
25 alts after pruning (19 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 607 | 18 | 625 |
| Fresh | 9 | 1 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 619 | 25 | 644 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 6.6% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) |
| ✓ | 4.0% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
| ✓ | 8.3% | #s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
| ✓ | 8.3% | #s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) |
| 5.5% | #s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))) | |
| 8.3% | #s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))) | |
| ✓ | 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
| ✓ | 4.2% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))) |
| 6.7% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -8 binary64) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) | |
| 6.9% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) | |
| 5.7% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- 1 x) #s(literal 1 binary64))))) #s(literal 2 binary64))))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -8 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3/2 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) | |
| 6.9% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -8 binary64) (exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) | |
| 3.0% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/4 binary64))) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) | |
| 6.9% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
Compiled 4 066 to 1 052 computations (74.1% saved)
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- 1 x) #s(literal 1 binary64))))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) |
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#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/4 binary64))) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -8 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3/2 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
7 calls:
| 56.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 15.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 12.0ms | x |
| 9.0ms | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 9.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.3% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 8.3% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 8.3% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 8.3% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 8.3% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 8.3% | 1 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 8.3% | 1 | x |
Compiled 44 to 41 computations (6.8% saved)
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- 1 x) #s(literal 1 binary64))))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) |
7 calls:
| 11.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 2.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.3% | 1 | x |
| 8.3% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 8.3% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 8.3% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 8.3% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 8.3% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 8.3% | 1 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
Compiled 44 to 41 computations (6.8% saved)
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 #s(approx (* (sqrt (- 1 x)) (sqrt 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- 1 x) #s(literal 1 binary64))))))))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
7 calls:
| 7.0ms | (-.f64 #s(literal 1 binary64) x) |
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 2.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.8% | 1 | x |
| 6.8% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 6.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 6.8% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 6.8% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 6.8% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 6.8% | 1 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
Compiled 44 to 41 computations (6.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))) |
7 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 1.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 1.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.2% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 4.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 4.2% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 4.2% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 4.2% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 4.2% | 1 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 4.2% | 1 | x |
Compiled 44 to 41 computations (6.8% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 128 |
| 1 | 72 | 128 |
| 2 | 121 | 128 |
| 3 | 246 | 128 |
| 4 | 1133 | 128 |
| 5 | 4790 | 128 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))) |
| 1× | fuel |
Compiled 128 to 52 computations (59.4% saved)
Compiled 286 to 130 computations (54.5% saved)
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