Ian Simplification
Time bar (total: 12.6s)
| 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 | 3 159× | 2 | valid |
| 1.5s | 4 842× | 1 | valid |
| 58.0ms | 255× | 0 | valid |
| 0.0ms | 5× | 0 | invalid |
ival-asin: 1.5s (49.5% of total)adjust: 342.0ms (11.4% of total)ival-div: 329.0ms (11% of total)ival-sub: 249.0ms (8.3% of total)ival-sqrt: 219.0ms (7.3% of total)ival-mult: 212.0ms (7.1% of total)ival-pi: 144.0ms (4.8% of total)exact: 10.0ms (0.3% of total)ival-true: 6.0ms (0.2% of total)ival-assert: 4.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 253 | 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 | 253 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 253 | 0 |
| - | 0 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 253 | 0 | 0 |
| - | 0 | 1 | 2 |
| number | freq |
|---|---|
| 0 | 3 |
| 1 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 147.0ms | 182× | 2 | valid |
| 84.0ms | 310× | 1 | valid |
| 2.0ms | 20× | 0 | valid |
Compiled 117 to 37 computations (68.4% saved)
ival-asin: 75.0ms (36.9% of total)ival-div: 71.0ms (35% of total)ival-sqrt: 16.0ms (7.9% of total)adjust: 15.0ms (7.4% of total)ival-sub: 12.0ms (5.9% of total)ival-mult: 9.0ms (4.4% of total)ival-pi: 5.0ms (2.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 26 | 29 |
| 2 | 39 | 26 |
| 3 | 56 | 26 |
| 4 | 71 | 26 |
| 5 | 80 | 26 |
| 6 | 84 | 26 |
| 0 | 11 | 13 |
| 0 | 19 | 13 |
| 1 | 32 | 13 |
| 2 | 40 | 13 |
| 3 | 48 | 13 |
| 4 | 57 | 13 |
| 5 | 61 | 13 |
| 6 | 62 | 13 |
| 0 | 62 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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 |
|---|---|---|
| ▶ | 6.9% | (-.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)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) #s(literal 2 binary64)) | |
| cost-diff | 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)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 0 | 19 | 50 |
| 1 | 32 | 50 |
| 2 | 40 | 50 |
| 3 | 48 | 50 |
| 4 | 57 | 50 |
| 5 | 61 | 50 |
| 6 | 62 | 50 |
| 0 | 62 | 49 |
| 1× | iter limit |
| 1× | saturated |
| 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 |
| 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))) |
(/.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))))) |
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #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 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.0078125 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) | |
| accuracy | 0.96875 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) | |
| accuracy | 58.53160682964271 | (-.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)))))) |
| 46.0ms | 91× | 2 | valid |
| 43.0ms | 155× | 1 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 52 to 13 computations (75% saved)
ival-asin: 32.0ms (43.8% of total)ival-div: 16.0ms (21.9% of total)adjust: 8.0ms (10.9% of total)ival-sub: 6.0ms (8.2% of total)ival-sqrt: 5.0ms (6.8% of total)ival-mult: 4.0ms (5.5% of total)ival-pi: 3.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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) |
(*.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))) |
| Outputs |
|---|
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(* 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)))))) |
(* 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))))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -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))))))) |
(* -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)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2))) |
| 1.0ms | x | @ | -inf | ((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2))) |
| 1.0ms | x | @ | 0 | ((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 392 |
| 1 | 287 | 361 |
| 2 | 1116 | 345 |
| 3 | 5123 | 339 |
| 0 | 8450 | 322 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(* 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)))))) |
(* 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))))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -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))))))) |
(* -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)))))))) |
| Outputs |
|---|
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x) |
(* 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)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64)))) x) |
(* 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))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))) x) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -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))))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -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)))))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 0 | 19 | 35 |
| 1 | 81 | 35 |
| 2 | 513 | 23 |
| 3 | 6339 | 23 |
| 0 | 8483 | 23 |
| 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) |
(*.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))) |
| Outputs |
|---|
(*.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (asin.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 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 8 binary64)) |
(*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.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 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (neg.f64 (PI.f64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (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 3/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 64 binary64)) |
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 16 binary64)) |
(*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(*.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 512 binary64)) |
(*.f64 #s(literal 512 binary64) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(*.f64 (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) |
(*.f64 #s(literal 64 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) |
(*.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (asin.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 #s(literal 4 binary64) (asin.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 0 binary64) #s(literal 0 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(*.f64 #s(literal 8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 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)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 8 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 (PI.f64))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (PI.f64)) |
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(fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
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(fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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))) |
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(fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
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(+.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) |
(+.f64 (*.f64 (-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (PI.f64))) |
(+.f64 (*.f64 (neg.f64 (PI.f64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (PI.f64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 (-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (asin.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (/.f64 (PI.f64) #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)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (pow.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 6 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (sinh.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(+.f64 (-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (asin.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (asin.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(+.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 4 binary64))) |
(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 8 binary64))) |
(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (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)))) (/.f64 (PI.f64) #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))))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (neg.f64 (neg.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 (neg.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 0 binary64) #s(literal 0 binary64))) |
(log.f64 (pow.f64 (exp.f64 (neg.f64 (PI.f64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (neg.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)))) (neg.f64 (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #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 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(neg.f64 (asin.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 2 binary64))))) |
(neg.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #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 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (sin.f64 (acos.f64 x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (sin.f64 (acos.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (sqrt.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (neg.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))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
Compiled 38 880 to 3 030 computations (92.2% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 079 | 14 | 2 093 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 2 080 | 14 | 2 094 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 4.0% | (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
| 6.9% | (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| 6.9% | (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (acos.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)))))))) | |
| 7.0% | (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (acos.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)))))) | |
| 6.9% | (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 #s(literal 0 binary64) (pow.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) (*.f64 #s(literal 2 binary64) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))) | |
| ▶ | 0.0% | (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| 6.8% | (-.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))) | |
| ▶ | 8.5% | (-.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))))))) |
| 7.1% | (-.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)))))) | |
| ▶ | 3.9% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
| ▶ | 6.9% | (-.f64 (acos.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))))) |
| 3.9% | (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 3.7% | (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64)) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
Compiled 564 to 352 computations (37.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 (acos.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))))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))) | |
| cost-diff | 0 | (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) | |
| cost-diff | 0 | (*.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)))))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.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))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 215 |
| 0 | 47 | 215 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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 |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #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(literal 2 binary64) |
(/.f64 (PI.f64) #s(literal -2 binary64)) |
(PI.f64) |
#s(literal -2 binary64) |
(-.f64 (acos.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))))) |
(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(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) (-.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 |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #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(literal 2 binary64) |
(/.f64 (PI.f64) #s(literal -2 binary64)) |
(PI.f64) |
#s(literal -2 binary64) |
(-.f64 (acos.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))))) |
(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(literal 2 binary64) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) | |
| accuracy | 61.99849058512738 | (PI.f64) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| accuracy | 0.0 | #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))) | |
| accuracy | 61.99849058512738 | (PI.f64) | |
| accuracy | 0.0 | (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) | |
| accuracy | 0.0 | (*.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)))))) | |
| accuracy | 0.0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) | |
| accuracy | 61.99849058512738 | (PI.f64) |
| 56.0ms | 256× | 0 | invalid |
Compiled 206 to 26 computations (87.4% saved)
ival-div: 9.0ms (23.3% of total)ival-acos: 9.0ms (23.3% of total)ival-mult: 5.0ms (13% of total)ival-sub: 5.0ms (13% of total)ival-asin: 4.0ms (10.4% of total)ival-sqrt: 3.0ms (7.8% of total)ival-pi: 1.0ms (2.6% of total)ival-add: 1.0ms (2.6% of total)exact: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 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) |
(*.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 #s(literal 0 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #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 (acos.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))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))) |
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))) |
(* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(+ (* -1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(- (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(acos (* (sqrt 1/2) (sqrt (- 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(* 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)))))) |
(* 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))))))) |
(* -1/2 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
(* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -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))))))) |
(* -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)))))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(- (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (/ 0 0) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) -2)) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (asin (sqrt (/ (- 1 x) 2))) (sqrt 1/2) (- 1 x)) |
| 2.0ms | x | @ | -inf | ((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (/ 0 0) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) -2)) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (asin (sqrt (/ (- 1 x) 2))) (sqrt 1/2) (- 1 x)) |
| 2.0ms | x | @ | inf | ((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (/ 0 0) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) -2)) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (asin (sqrt (/ (- 1 x) 2))) (sqrt 1/2) (- 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 580 |
| 1 | 345 | 548 |
| 2 | 1255 | 532 |
| 3 | 5416 | 529 |
| 0 | 8076 | 505 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))) |
(* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(+ (* -1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(- (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(acos (* (sqrt 1/2) (sqrt (- 1 x)))) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(* 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)))))) |
(* 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))))))) |
(* -1/2 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
(* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(+ (* -1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -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))))))) |
(* -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)))))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(- (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))) |
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(+ (* -1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) x #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))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(- (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(-.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(acos (* (sqrt 1/2) (sqrt (- 1 x)))) |
(acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x) |
(* 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)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64)))) x) |
(* 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))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(+ (* -1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -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))))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -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)))))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x) |
(- (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(-.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 141 |
| 0 | 47 | 141 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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) |
(*.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 #s(literal 0 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #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 (acos.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))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))) |
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(-.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) |
(*.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 #s(literal 0 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #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 (PI.f64) #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 (acos.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))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))) |
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
Compiled 3 368 to 366 computations (89.1% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 122 | 9 | 131 |
| Fresh | 1 | 8 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 126 | 19 | 145 |
| Status | Accuracy | Program |
|---|---|---|
| 6.9% | (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| 2.5% | (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) | |
| ▶ | 4.2% | (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
| 6.9% | (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (acos.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)))))))) | |
| 7.0% | (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (acos.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)))))) | |
| 6.9% | (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 #s(literal 0 binary64) (pow.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) (*.f64 #s(literal 2 binary64) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))) | |
| ✓ | 0.0% | (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| ▶ | 8.5% | (-.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 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
| 5.4% | (-.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 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))) | |
| ▶ | 7.1% | (-.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)))))) |
| ✓ | 3.9% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
| 6.9% | (-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) | |
| ▶ | 7.0% | (-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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))))) |
| 4.5% | (-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) | |
| 6.9% | (-.f64 #s(approx (acos (sqrt (/ (- 1 x) 2))) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) | |
| 3.9% | (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 3.7% | (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64)) | |
| 8.5% | #s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| ▶ | 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
Compiled 803 to 562 computations (30% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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))))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) #s(literal 2 binary64)) | |
| cost-diff | 1 | (-.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)))))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 (PI.f64) #s(literal 2 binary64)) | |
| cost-diff | 2 | (-.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 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) | |
| cost-diff | 3 | (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 378 |
| 0 | 88 | 378 |
| 1 | 119 | 378 |
| 2 | 170 | 378 |
| 3 | 236 | 378 |
| 4 | 313 | 378 |
| 5 | 418 | 374 |
| 6 | 764 | 374 |
| 7 | 1889 | 374 |
| 8 | 3074 | 372 |
| 9 | 6753 | 372 |
| 10 | 7751 | 372 |
| 0 | 8037 | 368 |
| 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 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 #s(approx (/ (- 1 x) 2) (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 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 x) 2) (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) |
x |
#s(literal 1/2 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(/.f64 (PI.f64) #s(literal -2 binary64)) |
(PI.f64) |
#s(literal -2 binary64) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
#s(literal -2 binary64) |
(asin.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(literal 1/2 binary64) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
(-.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 (PI.f64) #s(literal 2 binary64)) |
(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))))) |
(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)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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))))) |
(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(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)))) |
(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) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(-.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 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 x) 2) (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) |
x |
#s(literal 1/2 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(/.f64 (PI.f64) #s(literal -2 binary64)) |
(*.f64 (PI.f64) #s(literal -1/2 binary64)) |
(PI.f64) |
#s(literal -2 binary64) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
#s(literal -2 binary64) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.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))) |
(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(literal 1/2 binary64) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
(-.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)))))) |
(fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(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 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #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)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 #s(literal 2 binary64)) |
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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))))) |
(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(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)))) |
(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) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) | |
| accuracy | 0.13671875 | (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) | |
| accuracy | 0.96484375 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) | |
| accuracy | 58.49313048286969 | (-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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))))) | |
| accuracy | 0.2421816038481547 | (PI.f64) | |
| accuracy | 0.96484375 | (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.96484375 | (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 58.520640599478426 | (-.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)))))) | |
| accuracy | 0.03125 | (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) | |
| accuracy | 0.2421816038481547 | (PI.f64) | |
| accuracy | 0.96484375 | (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| accuracy | 58.520640599478426 | (fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) | |
| accuracy | 0.2421816038481547 | (PI.f64) | |
| accuracy | 0.96484375 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) | |
| accuracy | 1.3279132401197518 | #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)) | |
| accuracy | 58.520640599478426 | (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) | |
| accuracy | 0.0078125 | (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) | |
| accuracy | 0.015625 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) | |
| accuracy | 0.2421816038481547 | (PI.f64) | |
| accuracy | 58.520640599478426 | (-.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 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
| 219.0ms | 91× | 2 | valid |
| 169.0ms | 155× | 1 | valid |
| 3.0ms | 9× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 299 to 41 computations (86.3% saved)
ival-asin: 152.0ms (44.3% of total)adjust: 59.0ms (17.2% of total)ival-acos: 32.0ms (9.3% of total)ival-mult: 30.0ms (8.7% of total)ival-div: 23.0ms (6.7% of total)ival-sub: 17.0ms (5% of total)ival-sqrt: 17.0ms (5% of total)ival-add: 6.0ms (1.7% of total)ival-pi: 5.0ms (1.5% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(asin.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))) |
(-.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))))) |
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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))))) |
(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 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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))) |
(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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
(* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))) |
(+ (* -1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI))) |
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))) |
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))) |
(- (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(acos (* (sqrt 1/2) (sqrt (- 1 x)))) |
(- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))) |
(asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))) |
(/ 1 (sqrt 2)) |
(+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2))) |
(+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(* 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)))))) |
(* 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))))))) |
(* -1/2 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* (sqrt x) (/ (sqrt -1) (sqrt 2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))) |
(* 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)))))) |
(* 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))))))) |
(* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
(+ (* -1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -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))))))) |
(* -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)))))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))) |
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))) |
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))) |
(- (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))) |
(* -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))))))) |
(* -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)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | ((* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) -2)) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (* (PI) 1/2)) (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (* (sqrt (- 1 x)) (sqrt 1/2)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (asin (sqrt (/ (- 1 x) 2))) (* (- (/ 1/2 x) 1/2) x)) |
| 3.0ms | x | @ | -inf | ((* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) -2)) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (* (PI) 1/2)) (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (* (sqrt (- 1 x)) (sqrt 1/2)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (asin (sqrt (/ (- 1 x) 2))) (* (- (/ 1/2 x) 1/2) x)) |
| 3.0ms | x | @ | inf | ((* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) -2)) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* -2 (asin (* (sqrt (- 1 x)) (sqrt 1/2)))) (* (PI) 1/2)) (asin (* (sqrt (- 1 x)) (sqrt 1/2))) (* (sqrt (- 1 x)) (sqrt 1/2)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (asin (sqrt (/ (- 1 x) 2))) (* (- (/ 1/2 x) 1/2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 1014 |
| 1 | 551 | 932 |
| 2 | 2090 | 882 |
| 3 | 6580 | 880 |
| 0 | 8496 | 836 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))) |
(+ (* -1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI))) |
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))) |
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))) |
(- (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(acos (* (sqrt 1/2) (sqrt (- 1 x)))) |
(- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))) |
(asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))) |
(/ 1 (sqrt 2)) |
(+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2))) |
(+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(* 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)))))) |
(* 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))))))) |
(* -1/2 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* (sqrt x) (/ (sqrt -1) (sqrt 2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))) |
(* 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)))))) |
(* 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))))))) |
(* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
(+ (* -1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -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))))))) |
(* -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)))))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))) |
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))) |
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))) |
(- (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))) |
(* -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))))))) |
(* -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)))))))) |
| Outputs |
|---|
(* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(*.f64 (-.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)) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))) |
(fma.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 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) x #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))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 #s(literal -2 binary64) (asin.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))) |
(+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.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))) |
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))) |
(fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))) |
(*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(- (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(-.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(acos (* (sqrt 1/2) (sqrt (- 1 x)))) |
(acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))) |
(-.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))))) |
(asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))) |
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (sqrt 2)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x) |
(* 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)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) x) |
(* 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))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) |
(* (sqrt x) (/ (sqrt -1) (sqrt 2))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) x) |
(* 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)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) x) |
(* 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))))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) x) |
(* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(*.f64 (-.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)) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) |
(fma.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 #s(literal 1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(*.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -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))))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -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)))))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(fma.f64 #s(literal -2 binary64) (asin.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))) |
(+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.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))) |
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))) |
(fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))) |
(*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(- (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(-.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(-.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))))) |
(asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))) |
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))) |
(*.f64 (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -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))))))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -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)))))))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 267 |
| 0 | 88 | 247 |
| 1 | 285 | 247 |
| 2 | 1717 | 247 |
| 0 | 8080 | 244 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(asin.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))) |
(-.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))))) |
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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))))) |
(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 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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))) |
(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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) |
| Outputs |
|---|
(*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (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 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (neg.f64 (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (neg.f64 (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (neg.f64 (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (neg.f64 (pow.f64 (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))))) (neg.f64 (*.f64 (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (neg.f64 (*.f64 (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))))) (neg.f64 (pow.f64 (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) x))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) x))) |
Compiled 45 516 to 3 194 computations (93% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 822 | 21 | 843 |
| Fresh | 8 | 4 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 834 | 28 | 862 |
| Status | Accuracy | Program |
|---|---|---|
| 5.4% | (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) | |
| ✓ | 4.2% | (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
| 8.5% | (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (*.f64 (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) | |
| ▶ | 6.9% | (/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
| 4.2% | (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| 6.9% | (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (acos.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)))))))) | |
| ▶ | 7.0% | (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
| 7.0% | (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (acos.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)))))) | |
| 7.0% | (/.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))) | |
| 7.0% | (/.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (*.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))) | |
| 8.5% | (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| ▶ | 8.6% | (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
| 6.9% | (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 #s(literal 0 binary64) (pow.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) (*.f64 #s(literal 2 binary64) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))) | |
| ✓ | 0.0% | (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| 4.6% | (-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) x))))))) | |
| 5.4% | (-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))) | |
| ✓ | 7.0% | (-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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))))) |
| ▶ | 6.9% | (-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
| 4.2% | (+.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.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 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64))))) | |
| 8.5% | #s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| 7.1% | #s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) | |
| ▶ | 6.9% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
| 8.5% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.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 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| 6.9% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))) | |
| 6.9% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) | |
| 6.9% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))))) | |
| 6.9% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
Compiled 3 192 to 1 296 computations (59.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) | |
| cost-diff | 1 | (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| cost-diff | 1 | (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| cost-diff | 2 | (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| cost-diff | 9 | (/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | (-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| cost-diff | 0 | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) | |
| cost-diff | 2 | (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| cost-diff | 2 | (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| cost-diff | 24 | (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| cost-diff | 29 | (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 1274 |
| 0 | 114 | 1343 |
| 1 | 213 | 1343 |
| 2 | 672 | 1200 |
| 3 | 3147 | 1112 |
| 0 | 8474 | 1086 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(PI.f64) |
(+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 x) 2) (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) |
x |
#s(literal 1/2 binary64) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(/.f64 (PI.f64) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 x) 2) (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) |
x |
#s(literal 1/2 binary64) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) |
(PI.f64) |
(+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 x) 2) (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) |
x |
#s(literal 1/2 binary64) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
#s(literal -2 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(/.f64 (PI.f64) #s(literal -2 binary64)) |
(pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #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)) |
(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(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 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)))) |
(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) |
#s(literal 1/2 binary64) |
(fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (fma.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64)))) |
(*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64)) |
(PI.f64) |
(+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 x) 2) (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) |
x |
#s(literal 1/2 binary64) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (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 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)) |
(/.f64 (PI.f64) #s(literal -2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (PI.f64)) |
#s(literal -2 binary64) |
(pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (PI.f64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (PI.f64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (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 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 x) 2) (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) |
x |
#s(literal 1/2 binary64) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) |
(PI.f64) |
(+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 x) 2) (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) |
x |
#s(literal 1/2 binary64) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
#s(literal -2 binary64) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 2 binary64)) |
(/.f64 (PI.f64) #s(literal -2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (PI.f64)) |
(pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (PI.f64)) |
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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)))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #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)) |
(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(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 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)))) |
(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) |
#s(literal 1/2 binary64) |
(fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(fma.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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)))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.96484375 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) | |
| accuracy | 0.982753759768442 | (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) | |
| accuracy | 0.9967575195368841 | (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64)) | |
| accuracy | 58.424218976956205 | (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) | |
| accuracy | 0.2421816038481547 | (PI.f64) | |
| accuracy | 0.28515625 | (/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| accuracy | 0.9765625 | (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) | |
| accuracy | 59.59434653887829 | (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) | |
| accuracy | 0.00390625 | (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) | |
| accuracy | 0.0078125 | (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) | |
| accuracy | 0.96484375 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) | |
| accuracy | 58.49313048286969 | (-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) | |
| accuracy | 0.00390625 | (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) | |
| accuracy | 0.2421816038481547 | (PI.f64) | |
| accuracy | 0.96484375 | (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) | |
| accuracy | 58.520640599478426 | (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| accuracy | 0.2421816038481547 | (PI.f64) | |
| accuracy | 0.96875 | (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| accuracy | 0.9765625 | (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) | |
| accuracy | 58.565440682938984 | (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
| 422.0ms | 155× | 1 | valid |
| 332.0ms | 91× | 2 | valid |
| 4.0ms | 9× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 933 to 55 computations (94.1% saved)
ival-mult: 157.0ms (28.4% of total)ival-asin: 91.0ms (16.4% of total)adjust: 82.0ms (14.8% of total)ival-add: 55.0ms (9.9% of total)ival-div: 48.0ms (8.7% of total)ival-sqrt: 42.0ms (7.6% of total)ival-acos: 33.0ms (6% of total)ival-sub: 20.0ms (3.6% of total)ival-pow2: 11.0ms (2% of total)ival-pow: 11.0ms (2% of total)ival-pi: 3.0ms (0.5% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #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)) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(PI.f64) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) |
(pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 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)))) |
| Outputs |
|---|
(* 1/2 (/ (- (* (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) (- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) (* 2 (* (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) (pow (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) 2))) |
(- (* (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) (- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) (* 2 (* (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) |
(- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))) |
(* 2 (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
(- (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(acos (* (sqrt 1/2) (sqrt (- 1 x)))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(* 1/2 (/ (+ (* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))))) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))))) |
(+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) |
(* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) |
(/ (- (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 3) (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) (+ (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) |
(- (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 3) (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) |
(pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 3) |
(- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) |
(* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) |
(+ (* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))))) |
(pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(* 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)))))) |
(* 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))))))) |
(* -1/2 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* 1/2 (/ (- (* (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) (- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) (* 2 (* (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) (pow (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) 2))) |
(- (* (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) (- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) (* 2 (* (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) |
(- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))) |
(* 2 (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -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))))))) |
(* -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)))))))) |
(- (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* 1/2 (/ (+ (* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))))) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))))) |
(+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) |
(* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) |
(/ (- (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3) (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) (+ (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) |
(- (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3) (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) |
(pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3) |
(- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) |
(* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) |
(+ (* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))))) |
(pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | 0 | ((/ (- (* (- (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (* (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (- (* (- (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (- (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* (asin (sqrt (* (- 1 x) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (* (- 1 x) 1/2))) (sqrt (* (- 1 x) 1/2)) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (/ (+ (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2))))) (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)) (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (/ (- (pow (acos (sqrt (/ (- 1 x) 2))) 3) (pow (asin (sqrt (/ (- 1 x) 2))) 3)) (+ (* (asin (sqrt (/ (- 1 x) 2))) (+ (asin (sqrt (/ (- 1 x) 2))) (acos (sqrt (/ (- 1 x) 2))))) (pow (acos (sqrt (/ (- 1 x) 2))) 2))) (- (pow (acos (sqrt (/ (- 1 x) 2))) 3) (pow (asin (sqrt (/ (- 1 x) 2))) 3)) (pow (acos (sqrt (/ (- 1 x) 2))) 3) (acos (sqrt (/ (- 1 x) 2))) (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)) (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (PI) (asin (sqrt (/ (- 1 x) 2))) (+ (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2))))) (pow (asin (sqrt (/ (- 1 x) 2))) 3) (asin (sqrt (/ (- 1 x) 2)))) |
| 10.0ms | x | @ | -inf | ((/ (- (* (- (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (* (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (- (* (- (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (- (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* (asin (sqrt (* (- 1 x) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (* (- 1 x) 1/2))) (sqrt (* (- 1 x) 1/2)) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (/ (+ (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2))))) (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)) (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (/ (- (pow (acos (sqrt (/ (- 1 x) 2))) 3) (pow (asin (sqrt (/ (- 1 x) 2))) 3)) (+ (* (asin (sqrt (/ (- 1 x) 2))) (+ (asin (sqrt (/ (- 1 x) 2))) (acos (sqrt (/ (- 1 x) 2))))) (pow (acos (sqrt (/ (- 1 x) 2))) 2))) (- (pow (acos (sqrt (/ (- 1 x) 2))) 3) (pow (asin (sqrt (/ (- 1 x) 2))) 3)) (pow (acos (sqrt (/ (- 1 x) 2))) 3) (acos (sqrt (/ (- 1 x) 2))) (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)) (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (PI) (asin (sqrt (/ (- 1 x) 2))) (+ (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2))))) (pow (asin (sqrt (/ (- 1 x) 2))) 3) (asin (sqrt (/ (- 1 x) 2)))) |
| 9.0ms | x | @ | inf | ((/ (- (* (- (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (* (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (- (* (- (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (- (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* (asin (sqrt (* (- 1 x) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (* (- 1 x) 1/2))) (sqrt (* (- 1 x) 1/2)) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (/ (+ (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2))))) (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)) (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (/ (- (pow (acos (sqrt (/ (- 1 x) 2))) 3) (pow (asin (sqrt (/ (- 1 x) 2))) 3)) (+ (* (asin (sqrt (/ (- 1 x) 2))) (+ (asin (sqrt (/ (- 1 x) 2))) (acos (sqrt (/ (- 1 x) 2))))) (pow (acos (sqrt (/ (- 1 x) 2))) 2))) (- (pow (acos (sqrt (/ (- 1 x) 2))) 3) (pow (asin (sqrt (/ (- 1 x) 2))) 3)) (pow (acos (sqrt (/ (- 1 x) 2))) 3) (acos (sqrt (/ (- 1 x) 2))) (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)) (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (PI) (asin (sqrt (/ (- 1 x) 2))) (+ (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2))))) (pow (asin (sqrt (/ (- 1 x) 2))) 3) (asin (sqrt (/ (- 1 x) 2)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 1396 |
| 1 | 495 | 1365 |
| 2 | 2029 | 1241 |
| 3 | 7684 | 1239 |
| 0 | 8333 | 1181 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- (* (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) (- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) (* 2 (* (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) (pow (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) 2))) |
(- (* (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) (- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) (* 2 (* (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) |
(- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))) |
(* 2 (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
(- (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(acos (* (sqrt 1/2) (sqrt (- 1 x)))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(* 1/2 (/ (+ (* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))))) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))))) |
(+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) |
(* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) |
(/ (- (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 3) (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) (+ (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) |
(- (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 3) (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) |
(pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 3) |
(- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) |
(* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) |
(+ (* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))))) |
(pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(* 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)))))) |
(* 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))))))) |
(* -1/2 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* 1/2 (/ (- (* (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) (- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) (* 2 (* (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) (pow (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) 2))) |
(- (* (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) (- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) (* 2 (* (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) |
(- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))) |
(* 2 (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -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))))))) |
(* -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)))))))) |
(- (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* 1/2 (/ (+ (* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))))) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))))) |
(+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) |
(* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) |
(/ (- (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3) (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) (+ (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) |
(- (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3) (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) |
(pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3) |
(- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) |
(* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) |
(+ (* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))))) |
(pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3) |
| Outputs |
|---|
(* 1/2 (/ (- (* (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) (- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) (* 2 (* (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) (pow (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) 2))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.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))))) (PI.f64))) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (fma.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)) |
(- (* (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) (- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) (* 2 (* (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))) |
(*.f64 (fma.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 -2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.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))))) (PI.f64))))) |
(- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))) |
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.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))))) (PI.f64))) |
(* 2 (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) |
(fma.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64) (PI.f64)) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(fma.f64 #s(literal -2 binary64) (asin.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))) |
(+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.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))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) x #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))) |
(- (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (sqrt 1/2) (sqrt (- 1 x))))) |
(-.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(acos (* (sqrt 1/2) (sqrt (- 1 x)))) |
(acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(* 1/2 (/ (+ (* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))))) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))))) |
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(+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))) |
(fma.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))))) |
(* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) |
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(/ (- (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 3) (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) (+ (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) |
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(- (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 3) (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3)) |
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(pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 3) |
(pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) |
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(* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI)))) |
(*.f64 (fma.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))))) (PI.f64)) |
(+ (* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (- 1 x)))) (* 1/2 (PI))))) |
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(pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 3) |
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(* (sqrt x) (* (sqrt -1) (sqrt 1/2))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x)) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x) |
(* 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)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64)))) x) |
(* 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))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x) |
(* 1/2 (/ (- (* (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) (- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) (* 2 (* (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) (pow (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) 2))) |
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(- (* (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) (- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) (* 2 (* (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))) |
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(- (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) (* 2 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))) |
(fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.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))))) (PI.f64))) |
(* 2 (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) |
(fma.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64) (PI.f64)) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(fma.f64 #s(literal -2 binary64) (asin.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))) |
(+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI))) |
(fma.f64 #s(literal -2 binary64) (asin.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))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(*.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -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))))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(* -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)))))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
(- (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) |
(-.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) |
(* 1/2 (/ (+ (* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))))) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (fma.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (PI.f64)) #s(literal 1/2 binary64)) |
(+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))) |
(fma.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))))) |
(* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) |
(*.f64 #s(literal -4 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(/ (- (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3) (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) (+ (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) |
(/.f64 (-.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (+.f64 (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(- (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3) (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3)) |
(-.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))) |
(pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3) |
(pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) |
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI)))) |
(*.f64 (fma.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))))) (PI.f64)) |
(+ (* -4 (- (* 1/4 (pow (PI) 2)) (pow (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (* (PI) (+ (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (* 1/2 (PI))))) |
(fma.f64 #s(literal -4 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.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))))) (PI.f64))) |
(pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 3) |
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 745 |
| 0 | 114 | 739 |
| 1 | 447 | 664 |
| 2 | 3669 | 664 |
| 0 | 8112 | 657 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #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)) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(*.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(PI.f64) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) |
(pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 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)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (-.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)))) (-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (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 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) |
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (*.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
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(fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) |
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(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) |
(pow.f64 (PI.f64) #s(literal 1 binary64)) |
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) |
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(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
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(+.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64)) (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64)))) |
(+.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64))) |
(+.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64)) (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))))) |
(pow.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64)) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 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)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 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)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3/2 binary64) (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3 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 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 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)) (acos.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 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 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)) (acos.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)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) |
(exp.f64 (log.f64 (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 (cosh.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))))) (sinh.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))) |
Compiled 165 681 to 5 155 computations (96.9% saved)
43 alts after pruning (39 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 447 | 32 | 1 479 |
| Fresh | 13 | 7 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 464 | 43 | 1 507 |
| Status | Accuracy | Program |
|---|---|---|
| 5.4% | (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) | |
| 6.9% | (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (/.f64 (PI.f64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (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 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) | |
| ✓ | 4.2% | (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
| 7.2% | (/.f64 (fma.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 6.8% | (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 7.0% | (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) | |
| 7.1% | (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) #s(literal 2 binary64))) | |
| 6.9% | (/.f64 (fma.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 7.0% | (/.f64 (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 7.0% | (/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 4.0% | (/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 4.0% | (/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #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 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))))) | |
| 6.9% | (/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64))))) | |
| 2.9% | (/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 6.9% | (/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (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 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 6.9% | (/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(approx (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 8.6% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64)))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 7.0% | (/.f64 (-.f64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) | |
| 7.0% | (/.f64 (-.f64 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) | |
| 8.6% | (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (*.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) #s(literal 2 binary64)))) | |
| 8.6% | (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))) | |
| 7.0% | (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3 binary64))))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) | |
| 7.0% | (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3 binary64)))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) | |
| 6.9% | (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) | |
| 7.0% | (/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (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 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) | |
| 7.0% | (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 3 binary64))) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) | |
| 7.0% | (/.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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)))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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)))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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)))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))) | |
| 7.0% | (/.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (*.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))) | |
| 8.6% | (/.f64 (+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| ✓ | 0.0% | (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| 5.4% | (-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))) | |
| 7.2% | (-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (pow.f64 (pow.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) | |
| ✓ | 6.9% | (-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
| 7.0% | (-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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))))) | |
| 4.5% | (-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) | |
| 6.8% | #s(approx (/ (+ (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2))))) (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (fma.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (PI.f64)) #s(literal 1/2 binary64))) | |
| 8.5% | #s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) | |
| 7.1% | #s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) | |
| 8.5% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) | |
| 6.8% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) | |
| ✓ | 6.9% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
| 3.9% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 #s(approx (sqrt (* (- 1 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) | |
| 6.9% | #s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
Compiled 7 468 to 1 540 computations (79.4% saved)
| Inputs |
|---|
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 #s(approx (sqrt (* (- 1 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.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 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
(fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.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 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.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)))))) |
(-.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 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 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 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(-.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)))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) |
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) |
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (acos.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 #s(approx (acos (sqrt (/ (- 1 x) 2))) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))) |
#s(approx (/ (+ (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2))))) (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (fma.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (PI.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (/.f64 (PI.f64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (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 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (pow.f64 (pow.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
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#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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)))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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)))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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)))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (*.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (*.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
7 calls:
| 63.0ms | x |
| 42.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 37.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 24.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 18.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.6% | 1 | x |
| 8.6% | 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)))))) |
| 8.6% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 8.6% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 8.6% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 8.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 8.6% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 44 to 41 computations (6.8% saved)
| Inputs |
|---|
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 #s(approx (sqrt (* (- 1 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.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 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
(fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.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 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.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)))))) |
(-.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 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 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 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(-.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)))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))) |
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(/.f64 (-.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (cosh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 3 binary64))))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 3 binary64))) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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)))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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)))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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)))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
7 calls:
| 51.0ms | x |
| 23.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 21.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 19.0ms | (-.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)))))) |
| 19.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.6% | 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)))))) |
| 8.6% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 8.6% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 8.6% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 8.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 8.6% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 8.6% | 1 | x |
Compiled 44 to 41 computations (6.8% saved)
| Inputs |
|---|
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 #s(approx (sqrt (* (- 1 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.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 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
(fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.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 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.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)))))) |
(-.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 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 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 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(-.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)))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) |
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) |
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (acos.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 #s(approx (acos (sqrt (/ (- 1 x) 2))) (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #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))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))) |
#s(approx (/ (+ (* (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2))))) (* 2 (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (fma.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (PI.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (/.f64 (PI.f64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (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 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(-.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (pow.f64 (pow.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) x))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.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 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64))))) |
(/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(approx (* 2 (* -2 (- (pow (/ (PI) -2) 2) (pow (acos (sqrt (/ (- 1 x) 2))) 2)))) (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (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 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.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 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
7 calls:
| 14.0ms | x |
| 12.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 11.0ms | (-.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)))))) |
| 11.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 10.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.5% | 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)))))) |
| 8.5% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 8.5% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 8.5% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 8.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 8.5% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 8.5% | 1 | x |
Compiled 44 to 41 computations (6.8% saved)
| Inputs |
|---|
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 #s(approx (sqrt (* (- 1 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.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 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
(fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
7 calls:
| 4.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 4.0ms | x |
| 3.0ms | (-.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)))))) |
| 3.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 3.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.9% | 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)))))) |
| 6.9% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 6.9% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 6.9% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 6.9% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 6.9% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 6.9% | 1 | x |
Compiled 44 to 41 computations (6.8% saved)
| Inputs |
|---|
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 #s(approx (sqrt (* (- 1 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
| Outputs |
|---|
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
7 calls:
| 2.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 2.0ms | 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 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 1.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.2% | 1 | x |
| 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 | (*.f64 #s(literal 2 binary64) (asin.f64 (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 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 4.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 4.2% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 44 to 41 computations (6.8% saved)
| Inputs |
|---|
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 #s(approx (sqrt (* (- 1 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 #s(approx (sqrt (* (- 1 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
7 calls:
| 1.0ms | x |
| 1.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 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 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.9% | 1 | x |
| 3.9% | 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)))))) |
| 3.9% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 3.9% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 3.9% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 3.9% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 3.9% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 44 to 41 computations (6.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
7 calls:
| 12.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 1.0ms | x |
| 1.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 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 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 0.0% | 1 | x |
| 0.0% | 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)))))) |
| 0.0% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 0.0% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 0.0% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 0.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 0.0% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 44 to 41 computations (6.8% saved)
| 1× | egg-herbie |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (*.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.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 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 #s(approx (sqrt (* (- 1 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (*.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64) (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.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 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64))) |
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 #s(approx (sqrt (* (- 1 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 1396 |
| 1 | 495 | 1365 |
| 2 | 2029 | 1241 |
| 3 | 7684 | 1239 |
| 0 | 8333 | 1181 |
| 0 | 51 | 267 |
| 0 | 88 | 247 |
| 1 | 285 | 247 |
| 2 | 1717 | 247 |
| 0 | 8080 | 244 |
| 0 | 120 | 580 |
| 1 | 345 | 548 |
| 2 | 1255 | 532 |
| 3 | 5416 | 529 |
| 0 | 8076 | 505 |
| 0 | 11 | 39 |
| 0 | 19 | 35 |
| 1 | 81 | 35 |
| 2 | 513 | 23 |
| 3 | 6339 | 23 |
| 0 | 8483 | 23 |
| 0 | 94 | 392 |
| 1 | 287 | 361 |
| 2 | 1116 | 345 |
| 3 | 5123 | 339 |
| 0 | 8450 | 322 |
| 0 | 64 | 745 |
| 0 | 114 | 739 |
| 1 | 447 | 664 |
| 2 | 3669 | 664 |
| 0 | 8112 | 657 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 854 to 342 computations (60% saved)
Compiled 794 to 174 computations (78.1% saved)
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