
Time bar (total: 16.5s)
| 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)
| 2.0s | 3 131× | 2 | valid |
| 1.3s | 4 853× | 1 | valid |
| 22.0ms | 272× | 0 | valid |
| 0.0ms | 4× | 0 | invalid |
ival-asin: 1.6s (52% of total)ival-div: 377.0ms (12.6% of total)adjust: 289.0ms (9.6% of total)ival-sub: 274.0ms (9.1% of total)ival-sqrt: 184.0ms (6.1% of total)ival-mult: 158.0ms (5.3% of total)ival-pi: 133.0ms (4.4% of total)exact: 10.0ms (0.3% of total)ival-true: 7.0ms (0.2% of total)ival-assert: 4.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 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 | 256 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 120.0ms | 182× | 2 | valid |
| 84.0ms | 314× | 1 | valid |
| 2.0ms | 16× | 0 | valid |
Compiled 117 to 37 computations (68.4% saved)
ival-asin: 72.0ms (42.3% of total)ival-div: 22.0ms (12.9% of total)ival-pi: 20.0ms (11.8% of total)adjust: 18.0ms (10.6% of total)ival-sub: 18.0ms (10.6% of total)ival-sqrt: 10.0ms (5.9% of total)ival-mult: 9.0ms (5.3% of total)ival-true: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 212× | lower-fma.f64 |
| 212× | lower-fma.f32 |
| 136× | lower-*.f32 |
| 134× | lower-*.f64 |
| 96× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 33 | 27 |
| 2 | 72 | 26 |
| 3 | 160 | 26 |
| 4 | 261 | 26 |
| 5 | 367 | 26 |
| 6 | 433 | 26 |
| 7 | 485 | 26 |
| 8 | 495 | 26 |
| 0 | 11 | 13 |
| 0 | 19 | 13 |
| 1 | 34 | 13 |
| 2 | 48 | 13 |
| 3 | 67 | 13 |
| 4 | 96 | 13 |
| 5 | 132 | 13 |
| 6 | 191 | 13 |
| 7 | 253 | 13 |
| 8 | 308 | 13 |
| 9 | 348 | 13 |
| 10 | 366 | 13 |
| 0 | 366 | 11 |
| 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
Compiled 13 to 11 computations (15.4% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.2% | (-.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 | (PI.f64) | |
| cost-diff | 128 | (-.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)))))) | |
| cost-diff | 384 | (/.f64 (PI.f64) #s(literal 2 binary64)) | |
| cost-diff | 512 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 212× | lower-fma.f64 |
| 212× | lower-fma.f32 |
| 136× | lower-*.f32 |
| 134× | lower-*.f64 |
| 96× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 0 | 19 | 50 |
| 1 | 34 | 50 |
| 2 | 48 | 50 |
| 3 | 67 | 50 |
| 4 | 96 | 50 |
| 5 | 132 | 50 |
| 6 | 191 | 50 |
| 7 | 253 | 50 |
| 8 | 308 | 50 |
| 9 | 348 | 50 |
| 10 | 366 | 50 |
| 0 | 366 | 44 |
| 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.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 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.00390625 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) | |
| accuracy | 0.98046875 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) | |
| accuracy | 59.115801571073746 | (-.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)))))) |
| 49.0ms | 91× | 2 | valid |
| 40.0ms | 157× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 52 to 13 computations (75% saved)
ival-asin: 35.0ms (47.5% of total)ival-div: 9.0ms (12.2% of total)adjust: 8.0ms (10.9% of total)ival-pi: 6.0ms (8.1% of total)ival-sub: 6.0ms (8.1% of total)ival-sqrt: 5.0ms (6.8% of total)ival-mult: 4.0ms (5.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (PI.f64) #s(literal 2 binary64)) (patch (/.f64 (PI.f64) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor 0 x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor 0 x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor 0 x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor 0 x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor 0 x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor 0 x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor 0 x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor 0 x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt 1/2) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 x) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/2 (/ 1 x)) 1/2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/2 (/ 1 x)) 1/2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 1/2 (/ 1 x)) 1/2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (* (sqrt -1) (sqrt 1/2))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (taylor -inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (taylor -inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (taylor -inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (taylor -inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -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))))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)))))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((/ (- 1 x) 2) (/ (PI) 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (PI) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2))) |
| 2.0ms | x | @ | -inf | ((/ (- 1 x) 2) (/ (PI) 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (PI) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2))) |
| 1.0ms | x | @ | 0 | ((/ (- 1 x) 2) (/ (PI) 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (PI) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2))) |
| 1× | egg-herbie |
| 29 870× | lower-fma.f64 |
| 29 870× | lower-fma.f32 |
| 6 854× | lower-*.f64 |
| 6 854× | lower-*.f32 |
| 2 358× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 644 |
| 1 | 288 | 613 |
| 2 | 881 | 597 |
| 3 | 2690 | 580 |
| 4 | 6167 | 580 |
| 0 | 8473 | 543 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 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)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(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 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) |
(- (* 1/2 (PI)) (* 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)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin (* (sqrt 1/2) (sqrt (- 1 x)))) |
(asin (* (sqrt 1/2) (sqrt (- 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) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) |
(- (* 1/2 (PI)) (* 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))))) |
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) |
(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 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #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 (PI.f64) #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 (PI.f64) #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 (PI.f64) #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 (PI.f64) #s(literal 1/2 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)))) |
(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)))) |
(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)))) |
(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 x #s(literal -1/2 binary64) #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)))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) x #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)) (fma.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))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(fma.f64 x #s(literal -1/2 binary64) #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 (PI.f64) #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 (PI.f64) #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 (PI.f64) #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 (PI.f64) #s(literal 1/2 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)))) |
(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)))) |
(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)))) |
(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 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 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 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)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 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 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 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 x #s(literal -1/2 binary64)) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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))) |
(- (* 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))) |
(- (* 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))) |
(- (* 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))) |
(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)))) |
(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)))) |
(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)))) |
(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 #s(literal 1/2 binary64))) (sqrt.f64 x)) (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 (sqrt.f64 #s(literal -1 binary64)) x) (*.f64 (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 (*.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 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 (*.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 5 binary64)))) #s(literal -1/8 binary64) (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)))))) |
| 7 926× | lower-fma.f64 |
| 7 926× | lower-fma.f32 |
| 4 770× | lower-*.f32 |
| 4 768× | lower-*.f64 |
| 2 994× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 19 | 35 |
| 1 | 89 | 35 |
| 2 | 626 | 35 |
| 3 | 7268 | 35 |
| 0 | 8211 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(PI.f64) |
(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 |
|---|
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Compiled 11 654 to 1 867 computations (84% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 453 | 18 | 471 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 454 | 18 | 472 |
| Status | Accuracy | Program |
|---|---|---|
| 6.2% | (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| ▶ | 6.3% | (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
| 6.1% | (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| ▶ | 6.2% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
| 6.3% | (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.2% | (fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| ▶ | 6.2% | (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| 6.2% | (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 6.2% | (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) | |
| 6.2% | (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) | |
| 6.2% | (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))) | |
| ▶ | 6.2% | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
| 6.2% | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))) | |
| 6.2% | (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) | |
| ▶ | 7.6% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
| 5.8% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 6.2% | (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))) | |
| 6.2% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) |
Compiled 1 398 to 668 computations (52.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) | |
| cost-diff | 320 | (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) | |
| cost-diff | 8256 | (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) | |
| cost-diff | 16896 | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) (PI.f64)) | |
| cost-diff | 128 | (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) | |
| cost-diff | 8832 | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (pow.f64 (PI.f64) #s(literal 1/4 binary64)) | |
| cost-diff | 19712 | (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| cost-diff | 0 | (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 192 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) | |
| cost-diff | 384 | (/.f64 (PI.f64) #s(literal 2 binary64)) | |
| cost-diff | 448 | (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
| 14 402× | lower-fma.f32 |
| 14 390× | lower-fma.f64 |
| 5 962× | lower-*.f32 |
| 5 938× | lower-*.f64 |
| 1 984× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 554 |
| 0 | 79 | 521 |
| 1 | 165 | 506 |
| 2 | 449 | 483 |
| 3 | 1418 | 478 |
| 4 | 3635 | 476 |
| 0 | 8292 | 470 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
#s(literal 1/2 binary64) |
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(pow.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (PI.f64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
#s(literal -2 binary64) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(literal 1/4 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(literal 4 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
#s(literal 1/4 binary64) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
| Outputs |
|---|
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
(fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
#s(literal 1/2 binary64) |
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(pow.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (PI.f64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
#s(literal -2 binary64) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(literal 1/4 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64)) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(literal 4 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.9765625 | (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) | |
| accuracy | 0.98046875 | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| accuracy | 0.99609375 | (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) | |
| accuracy | 59.0452387225878 | (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) | |
| accuracy | 0.0234375 | (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) | |
| accuracy | 0.02734375 | (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| accuracy | 0.98046875 | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| accuracy | 60.16178248525062 | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| accuracy | 0.00390625 | (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0.98046875 | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 60.177818909122266 | (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| accuracy | 0 | (PI.f64) | |
| accuracy | 0.00390625 | (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0.98046875 | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| accuracy | 59.115801571073746 | (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| accuracy | 0.00390625 | (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0.01171875 | (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| accuracy | 0.03125 | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| accuracy | 59.115801571073746 | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
| 256.0ms | 91× | 2 | valid |
| 190.0ms | 157× | 1 | valid |
| 3.0ms | 8× | 0 | valid |
Compiled 629 to 48 computations (92.4% saved)
ival-pow: 78.0ms (22.6% of total)ival-mult: 70.0ms (20.2% of total)ival-add: 44.0ms (12.7% of total)ival-asin: 38.0ms (11% of total)ival-acos: 33.0ms (9.5% of total)adjust: 29.0ms (8.4% of total)ival-div: 16.0ms (4.6% of total)ival-sqrt: 12.0ms (3.5% of total)ival-sub: 10.0ms (2.9% of total)ival-pow2: 6.0ms (1.7% of total)ival-neg: 5.0ms (1.4% of total)ival-pi: 3.0ms (0.9% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (PI.f64) #s(literal 2 binary64)) (patch (/.f64 (PI.f64) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (patch (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (patch (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (patch (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (patch (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (patch (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (patch (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (PI.f64) (PI.f64)) (patch (*.f64 (PI.f64) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (patch (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (patch (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (patch (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (patch (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (patch (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (patch (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (patch (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #<representation binary64>) () ())) ()) |
#s(alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (taylor -inf x) (#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (taylor -inf x) (#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (taylor -inf x) (#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (taylor -inf x) (#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 104.0ms | x | @ | -inf | ((* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) (/ (PI) 2) (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (PI) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (* (sqrt (PI)) 1/2))) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (pow (PI) 1/4) (* (sqrt (PI)) 1/2) (+ (* (* (PI) (PI)) (/ 1/4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (neg (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))))) (* (PI) (PI)) (/ (- (* (* 1/4 (* (PI) (PI))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) 4))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (- (* (* 1/4 (* (PI) (PI))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) 4))) (* (* 1/4 (* (PI) (PI))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (* 1/4 (* (PI) (PI))) (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (PI)) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) 4))) |
| 8.0ms | x | @ | inf | ((* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) (/ (PI) 2) (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (PI) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (* (sqrt (PI)) 1/2))) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (pow (PI) 1/4) (* (sqrt (PI)) 1/2) (+ (* (* (PI) (PI)) (/ 1/4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (neg (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))))) (* (PI) (PI)) (/ (- (* (* 1/4 (* (PI) (PI))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) 4))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (- (* (* 1/4 (* (PI) (PI))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) 4))) (* (* 1/4 (* (PI) (PI))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (* 1/4 (* (PI) (PI))) (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (PI)) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) 4))) |
| 8.0ms | x | @ | 0 | ((* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) (/ (PI) 2) (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (PI) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (* (sqrt (PI)) 1/2))) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (pow (PI) 1/4) (* (sqrt (PI)) 1/2) (+ (* (* (PI) (PI)) (/ 1/4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (neg (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))))) (* (PI) (PI)) (/ (- (* (* 1/4 (* (PI) (PI))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) 4))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (- (* (* 1/4 (* (PI) (PI))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) 4))) (* (* 1/4 (* (PI) (PI))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (* 1/4 (* (PI) (PI))) (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (PI)) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) 4))) |
| 1× | egg-herbie |
| 20 960× | lower-fma.f64 |
| 20 960× | lower-fma.f32 |
| 5 918× | lower-*.f64 |
| 5 918× | lower-*.f32 |
| 2 286× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 4202 |
| 1 | 454 | 4018 |
| 2 | 1258 | 3722 |
| 3 | 3974 | 3589 |
| 0 | 8188 | 3144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(* (sqrt x) (sqrt -1/2)) |
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))) |
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))) |
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))) |
(* -1/2 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
(* -1/2 x) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
| Outputs |
|---|
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64)) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -1/128 binary64) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (/.f64 #s(literal -1/4 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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 x)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
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(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
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(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
| 7 782× | lower-fma.f32 |
| 7 770× | lower-fma.f64 |
| 5 148× | lower-*.f32 |
| 5 124× | lower-*.f64 |
| 4 710× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 347 |
| 0 | 79 | 243 |
| 1 | 342 | 230 |
| 2 | 2883 | 230 |
| 0 | 9442 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
(PI.f64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(pow.f64 (PI.f64) #s(literal 1/4 binary64)) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(*.f64 (PI.f64) (PI.f64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) |
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Compiled 277 377 to 10 964 computations (96% saved)
41 alts after pruning (40 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 038 | 33 | 5 071 |
| Fresh | 6 | 7 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 5 048 | 41 | 5 089 |
| Status | Accuracy | Program |
|---|---|---|
| 6.4% | (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -2 binary64))))) | |
| 6.2% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| 5.8% | (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) | |
| 6.3% | (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))))) | |
| 6.3% | (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| 6.2% | (fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)))) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| ▶ | 6.2% | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| 6.2% | (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)))) (/.f64 (PI.f64) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)))) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| 6.3% | (fma.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| 6.3% | (fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)))) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 6.2% | (fma.f64 (/.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 6.3% | (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -2 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -2 binary64))))) | |
| 6.2% | (fma.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 6.1% | (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| 6.3% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 6.3% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 6.2% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64))))) | |
| 6.3% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| 5.8% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 6.2% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 6.3% | (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.2% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| 6.3% | (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 6.2% | (fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| ✓ | 6.2% | (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| 6.2% | (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| ▶ | 4.2% | (fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| 6.2% | (/.f64 (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 6.3% | (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 6.2% | (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) | |
| 6.3% | (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))) | |
| ▶ | 6.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
| 6.3% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64))) | |
| 7.6% | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 6.2% | (-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) | |
| 6.3% | (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)))) | |
| 5.8% | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 6.2% | (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))) | |
| 6.3% | (*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) #s(literal -1 binary64))) | |
| ▶ | 6.2% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) |
| ▶ | 7.6% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
Compiled 4 027 to 1 850 computations (54.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) | |
| cost-diff | 128 | (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) | |
| cost-diff | 384 | (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| cost-diff | 0 | (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))) | |
| cost-diff | 128 | (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) | |
| cost-diff | 320 | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| cost-diff | 0 | (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| 5 166× | lower-fma.f32 |
| 5 146× | lower-fma.f64 |
| 4 512× | lower-*.f32 |
| 4 484× | lower-*.f64 |
| 1 766× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 808 |
| 0 | 132 | 807 |
| 1 | 255 | 804 |
| 2 | 538 | 800 |
| 3 | 1686 | 800 |
| 4 | 5129 | 797 |
| 0 | 8167 | 793 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(PI.f64) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(*.f64 (PI.f64) #s(literal -1/4 binary64)) |
(PI.f64) |
#s(literal -1/4 binary64) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
#s(literal -2 binary64) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (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 #s(literal -1/2 binary64) (PI.f64)) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(literal -4 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) |
(neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) |
#s(literal -8 binary64) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 3 binary64) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(PI.f64) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))) |
#s(literal 1 binary64) |
(neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
#s(literal 1/4 binary64) |
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) |
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) |
#s(literal 4 binary64) |
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (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) |
#s(literal 4 binary64) |
(pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(literal -4 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
(pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
#s(literal 1/4 binary64) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
#s(literal -1/4 binary64) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
#s(literal -2 binary64) |
(*.f64 #s(literal -1/2 binary64) (PI.f64)) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (acos.f64 (sqrt.f64 (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)))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(fma.f64 (acos.f64 (sqrt.f64 (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))) |
#s(literal -1/2 binary64) |
(PI.f64) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (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 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (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 -1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) (PI.f64)) |
(PI.f64) |
#s(literal -1/4 binary64) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(fma.f64 (asin.f64 (sqrt.f64 (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))) |
#s(literal -2 binary64) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (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 #s(literal -1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (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 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (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)))) |
#s(literal -4 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 (asin.f64 (sqrt.f64 (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))) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) |
(fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) |
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
#s(literal -8 binary64) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 3 binary64) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(PI.f64) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
#s(literal 1 binary64) |
(neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
#s(literal 1/4 binary64) |
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) |
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) |
#s(literal 4 binary64) |
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(*.f64 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (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))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (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)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (neg.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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)))) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (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)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (neg.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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)))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (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)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (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) |
#s(literal 4 binary64) |
(pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (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)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (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)))) |
#s(literal -4 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 (asin.f64 (sqrt.f64 (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))) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
(pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
#s(literal 1/4 binary64) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (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 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(fma.f64 (asin.f64 (sqrt.f64 (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))) |
#s(literal -2 binary64) |
(*.f64 #s(literal -1/2 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal -1/2 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.98046875 | (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) | |
| accuracy | 0.9921875 | (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) | |
| accuracy | 1.5510574225736145 | (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) | |
| accuracy | 58.99550037828017 | (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) | |
| accuracy | 0.98046875 | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| accuracy | 1.0 | (pow.f64 (PI.f64) #s(literal 3 binary64)) | |
| accuracy | 1.000663769536884 | (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) | |
| accuracy | 58.96423870040789 | (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) | |
| accuracy | 0.0234375 | (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) | |
| accuracy | 0.02734375 | (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) | |
| accuracy | 0.98046875 | (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) | |
| accuracy | 59.0297720109163 | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| accuracy | 0.00390625 | (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))) | |
| accuracy | 0.98046875 | (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) | |
| accuracy | 0.9964383099624244 | #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 59.115801571073746 | (fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) | |
| accuracy | 0 | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| accuracy | 0.00390625 | (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0.01171875 | (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| accuracy | 59.120065336985085 | (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
| 591.0ms | 157× | 1 | valid |
| 316.0ms | 91× | 2 | valid |
| 4.0ms | 8× | 0 | valid |
Compiled 892 to 76 computations (91.5% saved)
ival-div: 363.0ms (43.6% of total)ival-mult: 106.0ms (12.7% of total)ival-asin: 105.0ms (12.6% of total)adjust: 42.0ms (5% of total)ival-pow: 40.0ms (4.8% of total)ival-add: 39.0ms (4.7% of total)ival-sqrt: 38.0ms (4.6% of total)ival-neg: 38.0ms (4.6% of total)ival-acos: 32.0ms (3.8% of total)ival-pow2: 17.0ms (2% of total)ival-sub: 8.0ms (1% of total)ival-pi: 3.0ms (0.4% of total)exact: 2.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (patch (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (patch (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))) (patch (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (patch (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (patch (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (PI.f64) #s(literal -1/4 binary64)) (patch (*.f64 (PI.f64) #s(literal -1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) (patch (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (patch (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (patch (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (patch (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (patch (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (patch (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (patch (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (PI.f64) #s(literal 3 binary64)) (patch (pow.f64 (PI.f64) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) (taylor 0 x) (#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) (taylor 0 x) (#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) (taylor 0 x) (#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | inf | ((- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (+ (* -1/2 (PI)) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2)) (PI) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (+ (* (/ (* (PI) -1/4) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI)))) (PI)) (* (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2))) (/ (* (PI) -1/4) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI)))) (* (PI) -1/4) (* (neg (+ (* -8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* 1/8 (pow (PI) 3)))) (/ 1 (neg (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))))) (neg (+ (* -8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* 1/8 (pow (PI) 3)))) (/ 1 (neg (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)))))) (+ (* -8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* 1/8 (pow (PI) 3))) (/ (- (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (/ (- (* 4 (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2)) (* -1/4 (* (PI) (PI)))) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI))))) (- (* 4 (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2)) (* -1/4 (* (PI) (PI)))) (- (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (asin (sqrt (+ (* -1/2 x) 1/2))) (* (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2)) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) (pow (PI) 3) (asin (sqrt (+ (* x -1/2) 1/2))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) |
| 13.0ms | x | @ | -inf | ((- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (+ (* -1/2 (PI)) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2)) (PI) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (+ (* (/ (* (PI) -1/4) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI)))) (PI)) (* (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2))) (/ (* (PI) -1/4) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI)))) (* (PI) -1/4) (* (neg (+ (* -8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* 1/8 (pow (PI) 3)))) (/ 1 (neg (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))))) (neg (+ (* -8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* 1/8 (pow (PI) 3)))) (/ 1 (neg (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)))))) (+ (* -8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* 1/8 (pow (PI) 3))) (/ (- (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (/ (- (* 4 (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2)) (* -1/4 (* (PI) (PI)))) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI))))) (- (* 4 (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2)) (* -1/4 (* (PI) (PI)))) (- (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (asin (sqrt (+ (* -1/2 x) 1/2))) (* (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2)) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) (pow (PI) 3) (asin (sqrt (+ (* x -1/2) 1/2))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) |
| 12.0ms | x | @ | 0 | ((- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (+ (* -1/2 (PI)) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2)) (PI) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (+ (* (/ (* (PI) -1/4) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI)))) (PI)) (* (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2))) (/ (* (PI) -1/4) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI)))) (* (PI) -1/4) (* (neg (+ (* -8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* 1/8 (pow (PI) 3)))) (/ 1 (neg (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))))) (neg (+ (* -8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* 1/8 (pow (PI) 3)))) (/ 1 (neg (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)))))) (+ (* -8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* 1/8 (pow (PI) 3))) (/ (- (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (/ (- (* 4 (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2)) (* -1/4 (* (PI) (PI)))) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI))))) (- (* 4 (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2)) (* -1/4 (* (PI) (PI)))) (- (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (asin (sqrt (+ (* -1/2 x) 1/2))) (* (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2)) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) (pow (PI) 3) (asin (sqrt (+ (* x -1/2) 1/2))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) |
| 1× | egg-herbie |
| 16 262× | lower-fma.f64 |
| 16 262× | lower-fma.f32 |
| 5 478× | lower-*.f64 |
| 5 478× | lower-*.f32 |
| 2 220× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 206 | 6624 |
| 1 | 535 | 6580 |
| 2 | 1274 | 6564 |
| 3 | 3553 | 6430 |
| 4 | 7957 | 6430 |
| 0 | 8020 | 5645 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* -1/2 x)) |
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(* -1 (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))) |
(* -1 (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))) |
(* -1 (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))) |
(* -1 (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))) |
(/ -1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ -1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ -1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ -1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2)))) |
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2)))) |
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2)))) |
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2)))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2))) |
(- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))) |
(- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))) |
(- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))) |
(- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))) |
(* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) |
(* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) |
(* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) |
(* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(* (sqrt x) (sqrt -1/2)) |
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))) |
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))) |
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))) |
(* -1/2 x) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(* x (- (* 1/2 (/ 1 x)) 1/2)) |
(+ (* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(* -1 (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))) |
(* -1 (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))) |
(* -1 (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))) |
(* -1 (+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))) |
(/ -1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ -1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ -1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(/ -1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(/ (* (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))))) (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* -1/4 (pow (PI) 2)))) |
(/ (* (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))))) (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* -1/4 (pow (PI) 2)))) |
(/ (* (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))))) (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* -1/4 (pow (PI) 2)))) |
(/ (* (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))))) (- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* -1/4 (pow (PI) 2)))) |
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* -1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* -1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* -1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* -1/4 (pow (PI) 2))) |
(- (* 16 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)))) |
(- (* 16 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)))) |
(- (* 16 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)))) |
(- (* 16 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)))) |
(* 16 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))) |
(* 16 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))) |
(* 16 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))) |
(* 16 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(acos (sqrt (- 1/2 (* 1/2 x)))) |
(* (sqrt x) (sqrt -1/2)) |
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))) |
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))) |
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(asin (sqrt (- 1/2 (* 1/2 x)))) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) |
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))) 2)) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
(* -1/2 x) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) |
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(* -1 (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))) |
(* -1 (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))) |
(* -1 (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))) |
(* -1 (+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3)))) |
(/ -1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ -1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ -1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(/ -1 (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(+ (* -8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)) (* 1/8 (pow (PI) 3))) |
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2)))) |
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2)))) |
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2)))) |
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2)))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2))) |
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* -1/4 (pow (PI) 2))) |
(- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))) |
(- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))) |
(- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))) |
(- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))) |
(* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) |
(* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) |
(* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) |
(* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
| Outputs |
|---|
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
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(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (fma.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 -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64)) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64)) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64)) |
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
| 7 514× | lower-fma.f32 |
| 7 494× | lower-fma.f64 |
| 4 310× | lower-*.f32 |
| 4 282× | lower-*.f64 |
| 2 640× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 480 |
| 0 | 132 | 474 |
| 1 | 539 | 473 |
| 2 | 4282 | 444 |
| 0 | 8629 | 438 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(PI.f64) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(*.f64 (PI.f64) #s(literal -1/4 binary64)) |
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) |
(neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))) |
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 144 458 to 8 022 computations (94.4% saved)
50 alts after pruning (46 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 524 | 26 | 2 550 |
| Fresh | 15 | 20 | 35 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 541 | 50 | 2 591 |
| Status | Accuracy | Program |
|---|---|---|
| 6.4% | (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -2 binary64))))) | |
| 6.2% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| 5.8% | (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) | |
| 6.3% | (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))))) | |
| 6.3% | (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| 6.2% | (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| 6.3% | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| ▶ | 7.6% | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
| 7.6% | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))) | |
| ✓ | 6.2% | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| 6.3% | (fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)))) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 6.2% | (fma.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 6.1% | (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| 6.3% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| ▶ | 6.3% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
| 5.8% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 6.2% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 6.3% | (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.2% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| 6.2% | (fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| ✓ | 6.2% | (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| ✓ | 4.2% | (fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| 6.3% | (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 6.3% | (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))) | |
| ▶ | 6.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
| 6.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))) (/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| 6.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| 6.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))))) | |
| 6.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) | |
| 6.2% | (-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) | |
| 6.3% | (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)))) | |
| 6.2% | (*.f64 (fma.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.2% | (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.2% | (*.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.3% | (*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) #s(literal -1 binary64))) | |
| 4.1% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.3% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (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 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 7.6% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.3% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.2% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.2% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.2% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 4.7% | (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 3.6% | (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (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)))) | |
| 5.8% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| ✓ | 7.6% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| ▶ | 5.4% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| ▶ | 7.6% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))))) |
| 7.6% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) | |
| 7.6% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) |
Compiled 4 797 to 2 433 computations (49.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) | |
| cost-diff | 384 | (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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)))))) | |
| cost-diff | 0 | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))))) | |
| cost-diff | 128 | (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))) | |
| cost-diff | 640 | (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) (PI.f64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| cost-diff | 0 | (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) | |
| cost-diff | 128 | (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) | |
| cost-diff | 7744 | (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
| 6 956× | lower-fma.f32 |
| 6 934× | lower-fma.f64 |
| 5 628× | lower-*.f32 |
| 5 598× | lower-*.f64 |
| 1 712× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 1022 |
| 0 | 141 | 999 |
| 1 | 258 | 999 |
| 2 | 505 | 979 |
| 3 | 1455 | 979 |
| 4 | 4064 | 975 |
| 0 | 8198 | 966 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(*.f64 (PI.f64) #s(literal -1/4 binary64)) |
(PI.f64) |
#s(literal -1/4 binary64) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
#s(literal -2 binary64) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (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 #s(literal -1/2 binary64) (PI.f64)) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(literal -4 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(PI.f64) |
(*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(literal 1/4 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
#s(literal 4 binary64) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (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)) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
#s(literal -2 binary64) |
(*.f64 #s(literal -1/2 binary64) (PI.f64)) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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)))))) |
(fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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)))) |
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (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) |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
(*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) |
#s(literal -1/8 binary64) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(PI.f64) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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) (PI.f64)) |
#s(literal 1/4 binary64) |
(*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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 (acos.f64 (sqrt.f64 (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 (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 -1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (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) |
#s(literal 4 binary64) |
(pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(literal -4 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
(pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
#s(literal 1/4 binary64) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
#s(literal -2 binary64) |
(*.f64 #s(literal -1/2 binary64) (PI.f64)) |
| Outputs |
|---|
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(fma.f64 (/.f64 (PI.f64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(*.f64 (PI.f64) #s(literal -1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) (PI.f64)) |
(PI.f64) |
#s(literal -1/4 binary64) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
#s(literal -2 binary64) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -1/2 binary64) (PI.f64)) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(*.f64 (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 4 binary64))) |
(/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
#s(literal -4 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) |
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(fma.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
#s(literal -1/2 binary64) |
(PI.f64) |
(*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(fma.f64 (/.f64 (PI.f64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) |
(*.f64 (PI.f64) (PI.f64)) |
(PI.f64) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(literal 1/4 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
#s(literal -2 binary64) |
(*.f64 #s(literal -1/2 binary64) (PI.f64)) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))) |
(/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) |
(fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64))) |
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/2 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))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64)) |
#s(literal -1/8 binary64) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(PI.f64) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (PI.f64) (PI.f64)) |
#s(literal 1/4 binary64) |
(*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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 (fma.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(*.f64 (PI.f64) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (PI.f64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(*.f64 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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 (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (neg.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (neg.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 4 binary64) |
(pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
#s(literal -4 binary64) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(PI.f64) |
(pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (PI.f64) (PI.f64)) |
#s(literal 1/4 binary64) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
#s(literal -2 binary64) |
(*.f64 #s(literal -1/2 binary64) (PI.f64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.98046875 | (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) | |
| accuracy | 0.9921875 | (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) | |
| accuracy | 1.5510574225736145 | (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) | |
| accuracy | 58.99550037828017 | (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) | |
| accuracy | 0.9609375 | (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))) | |
| accuracy | 0.994472509768442 | (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) | |
| accuracy | 1.0 | (pow.f64 (PI.f64) #s(literal 3 binary64)) | |
| accuracy | 59.04467129391081 | (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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)))) | |
| accuracy | 0.0234375 | (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) | |
| accuracy | 0.98046875 | (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| accuracy | 0.98046875 | (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) | |
| accuracy | 60.16178248525062 | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| accuracy | 0 | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| accuracy | 0.01171875 | (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| accuracy | 0.9611628409319202 | #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) | |
| accuracy | 59.120065336985085 | (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) | |
| accuracy | 0.02734375 | (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) | |
| accuracy | 0.02734375 | (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) | |
| accuracy | 0.98046875 | (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) | |
| accuracy | 59.0297720109163 | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
| 338.0ms | 157× | 1 | valid |
| 293.0ms | 91× | 2 | valid |
| 5.0ms | 8× | 0 | valid |
Compiled 1 076 to 81 computations (92.5% saved)
ival-mult: 129.0ms (24.6% of total)ival-div: 75.0ms (14.3% of total)adjust: 67.0ms (12.8% of total)ival-asin: 66.0ms (12.6% of total)ival-acos: 58.0ms (11.1% of total)ival-pow: 41.0ms (7.8% of total)ival-add: 34.0ms (6.5% of total)ival-pow2: 18.0ms (3.4% of total)ival-sqrt: 16.0ms (3% of total)ival-sub: 9.0ms (1.7% of total)ival-neg: 8.0ms (1.5% of total)ival-pi: 3.0ms (0.6% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
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#s(alt (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (patch (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (patch (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) (patch #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (patch (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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)))) (patch (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (PI.f64) #s(literal 3 binary64)) (patch (pow.f64 (PI.f64) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))) (patch (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (patch (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (patch (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (patch (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (patch (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | 0 | ((+ (* (* (PI) 1/2) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (neg (acos (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))))) (* (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (+ (* (* (PI) 1/2) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (neg (acos (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2)))))) (+ (* (/ (* (PI) -1/4) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI)))) (PI)) (* (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (+ (* (* (PI) 1/2) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (neg (acos (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))))))) (/ (* (PI) -1/4) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI)))) (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (+ (* -1/2 (PI)) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2)) (PI) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (* (PI) (PI)) (/ 1/4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (/ (* 4 (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2)) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI))))) (* (PI) (PI)) (/ 1/4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (* (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* (PI) -1/2))) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* (PI) -1/2)) (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/ (+ (* (pow (acos (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (* -1/8 (pow (PI) 3))) (+ (* (* (PI) (PI)) 1/4) (* (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* (PI) -1/2))))) (/ (- (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (/ (+ (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) 4) (* (* (PI) (PI)) 1/4)) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI))))) (- (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (pow (acos (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (* -1/8 (pow (PI) 3))) (pow (PI) 3) (pow (acos (sqrt (+ (* -1/2 x) 1/2))) 3) (+ (* (* (PI) (PI)) 1/4) (* (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* (PI) -1/2)))) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) |
| 14.0ms | x | @ | inf | ((+ (* (* (PI) 1/2) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (neg (acos (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))))) (* (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (+ (* (* (PI) 1/2) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (neg (acos (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2)))))) (+ (* (/ (* (PI) -1/4) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI)))) (PI)) (* (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (+ (* (* (PI) 1/2) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (neg (acos (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))))))) (/ (* (PI) -1/4) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI)))) (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (+ (* -1/2 (PI)) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2)) (PI) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (* (PI) (PI)) (/ 1/4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (/ (* 4 (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2)) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI))))) (* (PI) (PI)) (/ 1/4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (* (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* (PI) -1/2))) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* (PI) -1/2)) (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/ (+ (* (pow (acos (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (* -1/8 (pow (PI) 3))) (+ (* (* (PI) (PI)) 1/4) (* (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* (PI) -1/2))))) (/ (- (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (/ (+ (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) 4) (* (* (PI) (PI)) 1/4)) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI))))) (- (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (pow (acos (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (* -1/8 (pow (PI) 3))) (pow (PI) 3) (pow (acos (sqrt (+ (* -1/2 x) 1/2))) 3) (+ (* (* (PI) (PI)) 1/4) (* (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* (PI) -1/2)))) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) |
| 12.0ms | x | @ | -inf | ((+ (* (* (PI) 1/2) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (neg (acos (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))))) (* (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (+ (* (* (PI) 1/2) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (neg (acos (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2)))))) (+ (* (/ (* (PI) -1/4) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI)))) (PI)) (* (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (+ (* (* (PI) 1/2) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (neg (acos (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))))))) (/ (* (PI) -1/4) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI)))) (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (+ (* -1/2 (PI)) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2)) (PI) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (* (PI) (PI)) (/ 1/4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (/ (* 4 (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2)) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI))))) (* (PI) (PI)) (/ 1/4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (* (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* (PI) -1/2))) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* (PI) -1/2)) (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/ (+ (* (pow (acos (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (* -1/8 (pow (PI) 3))) (+ (* (* (PI) (PI)) 1/4) (* (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* (PI) -1/2))))) (/ (- (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (/ (+ (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) 4) (* (* (PI) (PI)) 1/4)) (+ (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (* -1/2 (PI))))) (- (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 4) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (+ (* (pow (acos (sqrt (+ (* -1/2 x) 1/2))) 3) 8) (* -1/8 (pow (PI) 3))) (pow (PI) 3) (pow (acos (sqrt (+ (* -1/2 x) 1/2))) 3) (+ (* (* (PI) (PI)) 1/4) (* (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* (PI) -1/2)))) (pow (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) 2)) |
| 1× | egg-herbie |
| 16 874× | lower-fma.f64 |
| 16 874× | lower-fma.f32 |
| 5 666× | lower-*.f64 |
| 5 666× | lower-*.f32 |
| 2 260× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 7810 |
| 1 | 543 | 7470 |
| 2 | 1256 | 7426 |
| 3 | 3584 | 7233 |
| 0 | 8059 | 6329 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(+ (* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) |
(- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) |
(- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) |
(- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))) |
(/ (+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))) |
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) |
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) |
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) |
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))) (- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) |
(- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))) |
(- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))) |
(- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))) |
(- (* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) (* 1/16 (/ (pow (PI) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))) |
(* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) |
(* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) |
(* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) |
(* 16 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) |
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2)))))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(+ (* -1 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))) |
(+ (* -1 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))) |
(+ (* -1 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))) |
(+ (* -1 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))) |
(* -4 (/ (+ (* -1 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* -4 (/ (+ (* -1 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* -4 (/ (+ (* -1 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(* -4 (/ (+ (* -1 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) |
(+ (* -4 (/ (+ (* -1 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (+ (* -1 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (+ (* -1 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(+ (* -4 (/ (+ (* -1 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (asin (sqrt (- 1/2 (* 1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (- 1/2 (* 1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI)))))) |
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))) |
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))) |
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))) |
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))) |
(* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))) |
(* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))) |
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(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
| Outputs |
|---|
(+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64)) |
(* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64)) |
(* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64)) |
(* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64)) |
(+ (* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))) |
(+ (* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))) |
(+ (* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))) |
(+ (* -4 (/ (+ (* -1 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (asin (sqrt (+ 1/2 (* -1/2 x)))))) (* 1/2 (* (PI) (asin (sqrt (+ 1/2 (* -1/2 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* -1/4 (/ (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(* -1/4 (/ (PI) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) |
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) |
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
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(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))) |
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(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal -1/128 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 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) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(acos (sqrt (+ 1/2 (* -1/2 x)))) |
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(asin (sqrt (+ 1/2 (* -1/2 x)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64))) |
(+ (* -1/8 (pow (PI) 3)) (* 8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) |
(fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64))) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3) |
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (fma.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (fma.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (fma.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(+ (* 1/4 (pow (PI) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI)))))) |
(fma.f64 (fma.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/ 16 (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)) |
(/.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
| 7 388× | lower-fma.f32 |
| 7 366× | lower-fma.f64 |
| 4 998× | lower-*.f32 |
| 4 968× | lower-*.f64 |
| 2 314× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 632 |
| 0 | 141 | 574 |
| 1 | 591 | 566 |
| 2 | 4746 | 566 |
| 0 | 8712 | 559 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(PI.f64) |
(*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(*.f64 (PI.f64) (PI.f64)) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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 (*.f64 (acos.f64 (sqrt.f64 (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))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) |
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))) |
(acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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)))) |
(pow.f64 (PI.f64) #s(literal 3 binary64)) |
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))) |
(pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 175 156 to 8 486 computations (95.2% saved)
57 alts after pruning (50 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 804 | 18 | 2 822 |
| Fresh | 9 | 32 | 41 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 815 | 57 | 2 872 |
| Status | Accuracy | Program |
|---|---|---|
| 6.4% | (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -2 binary64))))) | |
| 6.2% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| 6.2% | (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64))) | |
| 5.8% | (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) | |
| 6.3% | (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))))) | |
| 6.3% | (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| 6.2% | (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| 6.3% | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| 7.6% | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) | |
| ✓ | 6.2% | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| 6.3% | (fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(approx (+ (* (* (PI) 1/2) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (neg (acos (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))))) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))) | |
| 6.3% | (fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)))) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 6.2% | (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) | |
| 7.6% | (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64)) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) | |
| 6.2% | (fma.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 6.1% | (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| 6.3% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 5.9% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| ✓ | 6.3% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
| 6.2% | (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) | |
| 6.3% | (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.3% | (fma.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sqrt.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))) | |
| 6.2% | (fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| ✓ | 6.2% | (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| ✓ | 4.2% | (fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| 6.3% | (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 8 binary64)) (neg.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -2 binary64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))))) | |
| 6.3% | (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 6.3% | (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 6.3% | (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))) | |
| 6.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| 6.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))))) | |
| 6.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) | |
| ✓ | 6.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
| 6.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))) (/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) | |
| 4.5% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -2 binary64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -2 binary64)))) (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))) | |
| 6.2% | (-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) | |
| 6.2% | (*.f64 (fma.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.2% | (*.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.3% | (*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64))))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) #s(literal -1 binary64))) | |
| 4.1% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.3% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (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 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 7.6% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.3% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.2% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.2% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 6.2% | (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 4.7% | (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) | |
| 3.6% | (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (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)))) | |
| 3.8% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) | |
| ✓ | 7.6% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| ✓ | 5.4% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| 4.0% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))))) | |
| 5.9% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 8 binary64)) (neg.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))))) | |
| 7.6% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))))) | |
| 3.7% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))))) | |
| 7.6% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) | |
| 7.6% | #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) |
Compiled 7 813 to 1 949 computations (75.1% saved)
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (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 (/.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
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(/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 8 binary64)) (neg.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -2 binary64))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)))))) |
| Outputs |
|---|
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
7 calls:
| 96.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 80.0ms | (-.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)))))) |
| 62.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 48.0ms | x |
| 26.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.6% | 1 | x |
| 7.6% | 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)))))) |
| 7.6% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 7.6% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 7.6% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 7.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 7.6% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 44 to 41 computations (6.8% saved)
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (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 (/.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(fma.f64 (/.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(approx (+ (* (* (PI) 1/2) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (neg (acos (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))))) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) |
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64)) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
| Outputs |
|---|
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))) |
7 calls:
| 74.0ms | (-.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)))))) |
| 73.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 72.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 21.0ms | (-.f64 #s(literal 1 binary64) x) |
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.6% | 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)))))) |
| 7.6% | 1 | x |
| 7.6% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 7.6% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 7.6% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 7.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 7.6% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 44 to 41 computations (6.8% saved)
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (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 (/.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))))) |
7 calls:
| 139.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 69.0ms | (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
| 9.0ms | x |
| 8.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 7.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.6% | 1 | x |
| 7.6% | 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)))))) |
| 7.6% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 7.6% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 7.6% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 7.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 7.6% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 44 to 41 computations (6.8% saved)
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (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 (/.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64))) |
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) |
7 calls:
| 73.0ms | (-.f64 #s(literal 1 binary64) x) |
| 34.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 24.0ms | x |
| 7.0ms | (-.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)))))) |
| 7.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.6% | 1 | x |
| 7.6% | 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)))))) |
| 7.6% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 7.6% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 7.6% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 7.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 7.6% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 44 to 41 computations (6.8% saved)
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (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 (/.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
7 calls:
| 33.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 6.0ms | x |
| 5.0ms | (-.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)))))) |
| 5.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 5.0ms | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.6% | 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)))))) |
| 7.6% | 1 | x |
| 7.6% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 7.6% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 7.6% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 7.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 7.6% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 44 to 41 computations (6.8% saved)
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (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 (/.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))))))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
7 calls:
| 48.0ms | (-.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)))))) |
| 27.0ms | (-.f64 #s(literal 1 binary64) x) |
| 6.0ms | x |
| 5.0ms | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 5.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.6% | 1 | x |
| 7.6% | 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)))))) |
| 7.6% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 7.6% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 7.6% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 7.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 7.6% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 44 to 41 computations (6.8% saved)
Total -1.5b remaining (-2.4%)
Threshold costs -1.5b (-2.4%)
| Inputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
| Outputs |
|---|
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
7 calls:
| 2.0ms | 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 |
|---|---|---|
| 5.4% | 1 | x |
| 5.4% | 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)))))) |
| 5.4% | 1 | (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
| 5.4% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
| 5.4% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| 5.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
| 5.4% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 44 to 41 computations (6.8% saved)
| 1× | egg-herbie |
| 52× | *-commutative-binary64-*.f64 |
| 22× | +-commutative-binary64-+.f64 |
| 22× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 18× | neg-sub0-binary64--.f64-neg.f64 |
| 18× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 321 |
| 1 | 112 | 321 |
| 2 | 140 | 321 |
| 3 | 159 | 321 |
| 4 | 170 | 321 |
| 5 | 173 | 321 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| Outputs |
|---|
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (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))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64))))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
| 20 960× | lower-fma.f64 |
| 20 960× | lower-fma.f32 |
| 16 262× | lower-fma.f64 |
| 16 262× | lower-fma.f32 |
| 7 926× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 206 | 6624 |
| 1 | 535 | 6580 |
| 2 | 1274 | 6564 |
| 3 | 3553 | 6430 |
| 4 | 7957 | 6430 |
| 0 | 8020 | 5645 |
| 0 | 78 | 632 |
| 0 | 141 | 574 |
| 1 | 591 | 566 |
| 2 | 4746 | 566 |
| 0 | 8712 | 559 |
| 0 | 11 | 35 |
| 0 | 19 | 35 |
| 1 | 89 | 35 |
| 2 | 626 | 35 |
| 3 | 7268 | 35 |
| 0 | 8211 | 30 |
| 0 | 158 | 4202 |
| 1 | 454 | 4018 |
| 2 | 1258 | 3722 |
| 3 | 3974 | 3589 |
| 0 | 8188 | 3144 |
| 0 | 40 | 347 |
| 0 | 79 | 243 |
| 1 | 342 | 230 |
| 2 | 2883 | 230 |
| 0 | 9442 | 230 |
| 0 | 74 | 480 |
| 0 | 132 | 474 |
| 1 | 539 | 473 |
| 2 | 4282 | 444 |
| 0 | 8629 | 438 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 556 to 259 computations (53.4% saved)
Compiled 480 to 162 computations (66.3% saved)
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