
Time bar (total: 8.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 18.7% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 28.1% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 32.8% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 49.2% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 57.4% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 61.5% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 71.8% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 35 to 25 computations (28.6% saved)
| 1.6s | 8 256× | 0 | valid |
| 1.0ms | 6× | 0 | invalid |
const: 462.0ms (36.2% of total)ival-mult: 188.0ms (14.8% of total)ival-<=: 144.0ms (11.3% of total)ival-cos: 129.0ms (10.1% of total)ival-sqrt: 97.0ms (7.6% of total)ival-sub: 80.0ms (6.3% of total)ival-div: 78.0ms (6.1% of total)ival->: 53.0ms (4.2% of total)ival-and: 34.0ms (2.7% of total)exact: 6.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u1) |
| 0 | 0 | - | 0 | - | u2 |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 314159265359/50000000000 binary32) |
| 0 | 0 | - | 0 | - | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 0 | 0 | - | 0 | - | u1 |
| 0 | 0 | - | 0 | - | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 0 | 0 | - | 0 | - | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f32 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) | cancelation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 65.0ms | 512× | 0 | valid |
Compiled 159 to 75 computations (52.8% saved)
const: 8.0ms (25.6% of total)ival-mult: 6.0ms (19.2% of total)ival-cos: 6.0ms (19.2% of total)ival-div: 4.0ms (12.8% of total)ival-sub: 3.0ms (9.6% of total)ival-sqrt: 3.0ms (9.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 106 |
| 1 | 78 | 104 |
| 2 | 128 | 104 |
| 3 | 215 | 102 |
| 4 | 361 | 102 |
| 5 | 611 | 102 |
| 6 | 775 | 102 |
| 7 | 871 | 102 |
| 8 | 910 | 102 |
| 9 | 930 | 102 |
| 10 | 934 | 102 |
| 0 | 10 | 11 |
| 0 | 16 | 11 |
| 1 | 22 | 11 |
| 2 | 26 | 11 |
| 3 | 31 | 11 |
| 4 | 38 | 11 |
| 5 | 48 | 11 |
| 6 | 63 | 11 |
| 7 | 86 | 11 |
| 8 | 108 | 11 |
| 9 | 116 | 11 |
| 10 | 118 | 11 |
| 0 | 118 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(abs u2)
(abs cosTheta_i)
Compiled 11 to 11 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.9% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
Compiled 11 to 11 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u1) | |
| cost-diff | 0 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) | |
| cost-diff | 0 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 22 | 36 |
| 2 | 26 | 36 |
| 3 | 31 | 36 |
| 4 | 38 | 36 |
| 5 | 48 | 36 |
| 6 | 63 | 36 |
| 7 | 86 | 36 |
| 8 | 108 | 36 |
| 9 | 116 | 36 |
| 10 | 118 | 36 |
| 0 | 118 | 36 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| accuracy | 0.1597041841797596 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) | |
| accuracy | 0.19921875 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) | |
| accuracy | 0.31640625 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 47.0ms | 256× | 0 | valid |
Compiled 74 to 24 computations (67.6% saved)
ival-sub: 23.0ms (58.1% of total)ival-cos: 6.0ms (15.1% of total)const: 4.0ms (10.1% of total)ival-mult: 3.0ms (7.6% of total)ival-div: 2.0ms (5% of total)ival-sqrt: 2.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| Outputs |
|---|
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
1 |
(+ 1 (* -1 u1)) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(* -1 u1) |
(* u1 (- (/ 1 u1) 1)) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(* 314159265359/50000000000 u2) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(cos (* 314159265359/50000000000 u2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | u1 | @ | inf | ((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u2 | @ | 0 | ((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u1 | @ | -inf | ((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u1 | @ | 0 | ((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (cos (* 314159265359/50000000000 u2))) |
| 1.0ms | u2 | @ | inf | ((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (cos (* 314159265359/50000000000 u2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 793 |
| 1 | 554 | 704 |
| 2 | 1625 | 636 |
| 3 | 4918 | 584 |
| 0 | 8208 | 552 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
1 |
(+ 1 (* -1 u1)) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
-1 |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(* -1 u1) |
(* u1 (- (/ 1 u1) 1)) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(* 314159265359/50000000000 u2) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(cos (* 314159265359/50000000000 u2)) |
| Outputs |
|---|
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(*.f32 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 u1 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) u1 u1) (sqrt.f32 u1))))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(fma.f32 (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 u1 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) u1 u1) (sqrt.f32 u1)))) (*.f32 u1 u1) (sqrt.f32 u1)) |
u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 (fma.f32 u1 u1 u1) u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(fma.f32 (/.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal -5/16 binary32) u1) #s(literal -3/8 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 u1))) |
(-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1))) |
(* -1 u1) |
(neg.f32 u1) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) (neg.f32 u1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) u1)) u1)) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) u1)) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(+.f32 (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) u1)) u1) (sqrt.f32 #s(literal -1 binary32))) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)) u1) #s(literal 1 binary32)) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(-.f32 #s(literal 1 binary32) u1) |
(sqrt (/ u1 (- 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 0 | 16 | 32 |
| 1 | 46 | 32 |
| 2 | 237 | 32 |
| 3 | 1953 | 32 |
| 0 | 9692 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| Outputs |
|---|
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (hypot.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) u1)) |
(*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32))) |
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 (neg.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) |
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) |
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))) |
(/.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) |
(/.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))) |
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) |
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(fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) |
(fma.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32)) |
(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)) |
(fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal -1 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) |
(+.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(+.f32 (neg.f32 u1) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (neg.f32 u1)) |
(+.f32 #s(literal 1 binary32) u1) |
(+.f32 u1 #s(literal 1 binary32)) |
(exp.f32 (*.f32 (neg.f32 (log1p.f32 u1)) #s(literal -1 binary32))) |
(exp.f32 (log1p.f32 u1)) |
(neg.f32 (-.f32 u1 #s(literal 1 binary32))) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
Compiled 14 558 to 2 558 computations (82.4% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 543 | 21 | 564 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 543 | 22 | 565 |
| Status | Accuracy | Program |
|---|---|---|
| 98.5% | (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 98.4% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) | |
| 98.9% | (*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 73.4% | (*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 98.1% | (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 97.7% | (*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 97.9% | (*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.7% | (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 98.9% | (*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ▶ | 98.7% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| ✓ | 98.9% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 79.7% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) | |
| 79.7% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) | |
| 57.4% | (*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.7% | (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 57.6% | (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.7% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 55.6% | (*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 98.1% | (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 96.2% | (*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 76.0% | (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 79.7% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
Compiled 713 to 613 computations (14% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u1) | |
| cost-diff | 0 | (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) | |
| cost-diff | 0 | (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) | |
| cost-diff | 0 | (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| cost-diff | 64 | (-.f32 (neg.f32 u1) #s(literal 1 binary32)) | |
| cost-diff | 64 | (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) | |
| cost-diff | 544 | (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) | |
| cost-diff | 0 | (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) | |
| cost-diff | 0 | (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| cost-diff | 0 | (sqrt.f32 u1) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u1) | |
| cost-diff | 0 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) | |
| cost-diff | 0 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) | |
| cost-diff | 0 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) | |
| cost-diff | 64 | (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) | |
| cost-diff | 96 | (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) | |
| cost-diff | 256 | (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) | |
| cost-diff | 512 | (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 316 |
| 0 | 75 | 323 |
| 1 | 122 | 295 |
| 2 | 236 | 230 |
| 3 | 625 | 230 |
| 4 | 2654 | 230 |
| 5 | 6510 | 230 |
| 0 | 8202 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) |
(-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) |
(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) |
#s(literal 0 binary32) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
u1 |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) |
(-.f32 u1 #s(literal 1 binary32)) |
(neg.f32 u1) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 u1) |
u1 |
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
u2 |
#s(literal 314159265359/50000000000 binary32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) |
(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) |
u1 |
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) |
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) |
(*.f32 u1 u1) |
#s(literal 1 binary32) |
(-.f32 (neg.f32 u1) #s(literal 1 binary32)) |
(neg.f32 u1) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
u1 |
#s(literal -1/2 binary32) |
(pow.f32 u1 #s(literal -1/2 binary32)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) |
(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) |
#s(literal 0 binary32) |
#s(literal 0 binary32) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
u1 |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) |
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1) |
(-.f32 u1 #s(literal 1 binary32)) |
(neg.f32 u1) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(sqrt.f32 u1) |
u1 |
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
u2 |
#s(literal 314159265359/50000000000 binary32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
u1 |
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) u1) |
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) |
(fma.f32 u1 u1 #s(literal -1 binary32)) |
(*.f32 u1 u1) |
#s(literal 1 binary32) |
(-.f32 (neg.f32 u1) #s(literal 1 binary32)) |
(-.f32 #s(literal -1 binary32) u1) |
(neg.f32 u1) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 u1 #s(literal -1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
u1 |
#s(literal -1/2 binary32) |
(pow.f32 u1 #s(literal -1/2 binary32)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| accuracy | 0.1597041841797596 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) | |
| accuracy | 0.31640625 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) | |
| accuracy | 0.40529252930532605 | (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) | |
| accuracy | 0.1597041841797596 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) | |
| accuracy | 0.19921875 | (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) | |
| accuracy | 0.31640625 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) | |
| accuracy | 0.421875 | (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) | |
| accuracy | 0.1796875 | (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) | |
| accuracy | 0.2109375 | (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| accuracy | 0.31640625 | (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) | |
| accuracy | 0.3756637695368841 | (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| accuracy | 0 | (-.f32 #s(literal 1 binary32) u1) | |
| accuracy | 0.1171875 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) | |
| accuracy | 0.19921875 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) | |
| accuracy | 6.433410423090469 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) | |
| accuracy | 0.1953125 | (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) | |
| accuracy | 0.31640625 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) | |
| accuracy | 0.375 | (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) | |
| accuracy | 0.47265625 | (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) |
| 175.0ms | 256× | 0 | valid |
Compiled 627 to 88 computations (86% saved)
ival-pow: 47.0ms (33.3% of total)ival-sub: 46.0ms (32.6% of total)ival-mult: 15.0ms (10.6% of total)ival-div: 14.0ms (9.9% of total)ival-sqrt: 8.0ms (5.7% of total)ival-cos: 5.0ms (3.5% of total)const: 4.0ms (2.8% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 u1) |
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) |
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) |
(-.f32 (neg.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| Outputs |
|---|
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
0 |
(* -1 u1) |
(* u1 (- u1 1)) |
(* u1 (+ 1 (* -1 u1))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
1 |
(+ 1 (* -1 u1)) |
(cos (* 314159265359/50000000000 u2)) |
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* 314159265359/50000000000 u2))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 1/2 (cos (* 314159265359/50000000000 u2)))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 3/8 (cos (* 314159265359/50000000000 u2)))))))) |
-1 |
(- (pow u1 2) 1) |
(- (* -1 u1) 1) |
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(+ 1 (* 1/2 u1)) |
(+ 1 (* u1 (+ 1/2 (* 3/8 u1)))) |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1)))))) |
(- (* 2 u1) 1) |
(- (* u1 (+ 2 (* -1 u1))) 1) |
(+ 1 (* -1/2 u1)) |
(+ 1 (* u1 (- (* -1/8 u1) 1/2))) |
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2))) |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(pow u1 2) |
(* (pow u1 2) (- 1 (/ 1 u1))) |
(* -1 (pow u1 2)) |
(* (pow u1 2) (- (/ 1 u1) 1)) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(* u1 (- (/ 1 u1) 1)) |
(* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(* -1 (* u1 (+ 1 (/ 1 u1)))) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(* (sqrt (/ 1 u1)) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1)) |
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2))))) |
(* (sqrt u1) (sqrt -1)) |
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(/ 1 (sqrt -1)) |
(+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(+ (/ 3/8 (* (pow u1 2) (sqrt -1))) (+ (/ 1/2 (* u1 (sqrt -1))) (/ 1 (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* 3/8 (/ 1 (sqrt -1))) (* 5/16 (/ 1 (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)) (/ 1 (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1)) |
(* -1 (* (sqrt u1) (sqrt -1))) |
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(sqrt (/ 1 (- 1 u1))) |
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))) |
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))) |
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) |
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))) |
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))) |
(* 314159265359/50000000000 u2) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1)))) |
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | u2 | @ | 0 | ((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos (* u2 314159265359/50000000000)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (/ (pow (- 1 u1) -1/2) (pow u1 -1/2)) (cos (* 314159265359/50000000000 u2))) (/ (pow (- 1 u1) -1/2) (pow u1 -1/2)) (pow (- 1 u1) -1/2) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1))) (cos (* 314159265359/50000000000 u2))) |
| 5.0ms | u2 | @ | inf | ((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos (* u2 314159265359/50000000000)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (/ (pow (- 1 u1) -1/2) (pow u1 -1/2)) (cos (* 314159265359/50000000000 u2))) (/ (pow (- 1 u1) -1/2) (pow u1 -1/2)) (pow (- 1 u1) -1/2) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1))) (cos (* 314159265359/50000000000 u2))) |
| 4.0ms | u1 | @ | inf | ((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos (* u2 314159265359/50000000000)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (/ (pow (- 1 u1) -1/2) (pow u1 -1/2)) (cos (* 314159265359/50000000000 u2))) (/ (pow (- 1 u1) -1/2) (pow u1 -1/2)) (pow (- 1 u1) -1/2) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1))) (cos (* 314159265359/50000000000 u2))) |
| 4.0ms | u1 | @ | -inf | ((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos (* u2 314159265359/50000000000)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (/ (pow (- 1 u1) -1/2) (pow u1 -1/2)) (cos (* 314159265359/50000000000 u2))) (/ (pow (- 1 u1) -1/2) (pow u1 -1/2)) (pow (- 1 u1) -1/2) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1))) (cos (* 314159265359/50000000000 u2))) |
| 4.0ms | u1 | @ | 0 | ((/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* 0 (- 1 u1)) (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (neg u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt u1) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos (* u2 314159265359/50000000000)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (/ (pow (- 1 u1) -1/2) (pow u1 -1/2)) (cos (* 314159265359/50000000000 u2))) (/ (pow (- 1 u1) -1/2) (pow u1 -1/2)) (pow (- 1 u1) -1/2) (* (- u1 1) (- 1 u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1))) (cos (* 314159265359/50000000000 u2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 473 | 2470 |
| 1 | 1405 | 2219 |
| 2 | 4307 | 1976 |
| 0 | 8090 | 1851 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
0 |
(* -1 u1) |
(* u1 (- u1 1)) |
(* u1 (+ 1 (* -1 u1))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
1 |
(+ 1 (* -1 u1)) |
(cos (* 314159265359/50000000000 u2)) |
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* 314159265359/50000000000 u2))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 1/2 (cos (* 314159265359/50000000000 u2)))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 3/8 (cos (* 314159265359/50000000000 u2)))))))) |
-1 |
(- (pow u1 2) 1) |
(- (* -1 u1) 1) |
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(+ 1 (* 1/2 u1)) |
(+ 1 (* u1 (+ 1/2 (* 3/8 u1)))) |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1)))))) |
(- (* 2 u1) 1) |
(- (* u1 (+ 2 (* -1 u1))) 1) |
(+ 1 (* -1/2 u1)) |
(+ 1 (* u1 (- (* -1/8 u1) 1/2))) |
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2))) |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(pow u1 2) |
(* (pow u1 2) (- 1 (/ 1 u1))) |
(* -1 (pow u1 2)) |
(* (pow u1 2) (- (/ 1 u1) 1)) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(* u1 (- (/ 1 u1) 1)) |
(* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(* -1 (* u1 (+ 1 (/ 1 u1)))) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(* (sqrt (/ 1 u1)) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1)) |
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2))))) |
(* (sqrt u1) (sqrt -1)) |
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(* -1 (* u1 (- 1 (/ 1 u1)))) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(/ 1 (sqrt -1)) |
(+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(+ (/ 3/8 (* (pow u1 2) (sqrt -1))) (+ (/ 1/2 (* u1 (sqrt -1))) (/ 1 (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* 3/8 (/ 1 (sqrt -1))) (* 5/16 (/ 1 (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)) (/ 1 (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))) |
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1)) |
(* -1 (* (sqrt u1) (sqrt -1))) |
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(sqrt (/ 1 (- 1 u1))) |
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))) |
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))) |
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) |
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))) |
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))) |
(* 314159265359/50000000000 u2) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1)))) |
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
| Outputs |
|---|
u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 (fma.f32 u1 u1 u1) u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1) |
0 |
#s(literal 0 binary32) |
(* -1 u1) |
(neg.f32 u1) |
(* u1 (- u1 1)) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) |
(* u1 (+ 1 (* -1 u1))) |
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(fma.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* 314159265359/50000000000 u2))))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 1/2 (cos (* 314159265359/50000000000 u2)))))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 3/8 (cos (* 314159265359/50000000000 u2)))))))) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32))) (*.f32 u1 u1))) |
-1 |
#s(literal -1 binary32) |
(- (pow u1 2) 1) |
(fma.f32 u1 u1 #s(literal -1 binary32)) |
(- (* -1 u1) 1) |
(-.f32 #s(literal -1 binary32) u1) |
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (sqrt.f32 u1)))) |
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(fma.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 u1 u1)) (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(fma.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (*.f32 u1 u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))))) |
(+ 1 (* 1/2 u1)) |
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) |
(+ 1 (* u1 (+ 1/2 (* 3/8 u1)))) |
(fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) |
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1)))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) |
(- (* 2 u1) 1) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal -1 binary32)) |
(- (* u1 (+ 2 (* -1 u1))) 1) |
(fma.f32 (-.f32 #s(literal 2 binary32) u1) u1 #s(literal -1 binary32)) |
(+ 1 (* -1/2 u1)) |
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) |
(+ 1 (* u1 (- (* -1/8 u1) 1/2))) |
(fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) |
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/16 binary32) u1 #s(literal -1/8 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) |
(* -1 (+ 1 (/ 1 u1))) |
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1))) |
(pow u1 2) |
(*.f32 u1 u1) |
(* (pow u1 2) (- 1 (/ 1 u1))) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) |
(* -1 (pow u1 2)) |
(*.f32 (neg.f32 u1) u1) |
(* (pow u1 2) (- (/ 1 u1) 1)) |
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 3/4 binary32) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 u1 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) u1)) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32))))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) |
(* u1 (- (/ 1 u1) 1)) |
(-.f32 #s(literal 1 binary32) u1) |
(* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) |
(fma.f32 #s(literal -1/2 binary32) (fma.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (*.f32 (*.f32 (fma.f32 (/.f32 u1 #s(literal -1 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(*.f32 u1 (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) u1) u1) u1 u1)) |
(* -1 (* u1 (+ 1 (/ 1 u1)))) |
(-.f32 #s(literal -1 binary32) u1) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(fma.f32 (*.f32 (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (+.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) |
(* (sqrt (/ 1 u1)) (sqrt -1)) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) |
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(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) |
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) |
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) |
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))) |
(fma.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))) |
(fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))))))) |
(* 314159265359/50000000000 u2) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 200 |
| 0 | 71 | 185 |
| 1 | 234 | 171 |
| 2 | 1577 | 142 |
| 0 | 10185 | 138 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 u1) |
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) |
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) |
(-.f32 (neg.f32 u1) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| Outputs |
|---|
(*.f32 (neg.f32 (/.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 u1 #s(literal -1 binary32))) |
(*.f32 (neg.f32 (/.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) |
(*.f32 (pow.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal -2 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1))) |
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) #s(literal -1 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal -2 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32)) (fma.f32 u1 u1 u1)) |
(*.f32 (/.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))) |
(*.f32 (/.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) u1)) |
(*.f32 (/.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal -1 binary32))) |
(*.f32 (/.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) |
(*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) |
(*.f32 (/.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1))) |
(*.f32 (/.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (pow.f32 (fma.f32 u1 u1 u1) #s(literal -2 binary32))) |
(*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
(*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal -1 binary32)))) |
(*.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) u1) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))) |
(*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1)) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1)) |
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))) |
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) u1)) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
(*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(*.f32 #s(literal -1 binary32) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) |
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (pow.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) u1) |
(*.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) |
(*.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 u1)))) |
(*.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) |
(*.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal -1 binary32)))) |
(*.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal -1 binary32)) |
(*.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32)) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) |
(*.f32 (fma.f32 u1 u1 u1) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -2 binary32))) |
(*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(*.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(*.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) |
(/.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1))) (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)) (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)))) (-.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)))) |
(/.f32 (+.f32 (pow.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)) (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1))) (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1))) (-.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (-.f32 (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32))) (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 u1)))) (neg.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 u1)))) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) |
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal -1 binary32) u1)) |
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal -1 binary32))) |
(/.f32 (/.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1)) |
(/.f32 (/.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32))) |
(/.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal -1 binary32))) |
(/.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) |
(/.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) u1) (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))) |
(/.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) u1) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) |
(/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32))))) |
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(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)) (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)))) |
(+.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(+.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)) |
(+.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))) |
(+.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32))) |
(+.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 0 binary32))) |
(+.f32 #s(literal 0 binary32) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1)) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) |
(neg.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) |
(*.f32 #s(literal -1 binary32) (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(-.f32 #s(literal 0 binary32) (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(neg.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
Compiled 49 906 to 7 055 computations (85.9% saved)
46 alts after pruning (43 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 686 | 32 | 1 718 |
| Fresh | 5 | 11 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 694 | 46 | 1 740 |
| Status | Accuracy | Program |
|---|---|---|
| 98.5% | (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 73.9% | (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))) | |
| 73.9% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))) | |
| 97.5% | (*.f32 (pow.f32 (pow.f32 u1 #s(literal -1/4 binary32)) #s(literal -2 binary32)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 73.4% | (*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.0% | (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 97.7% | (*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 97.9% | (*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.2% | (*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #s(approx (* (- u1 1) (- 1 u1)) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 98.9% | (*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 98.8% | (*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ✓ | 98.9% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 79.7% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) | |
| 79.7% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) | |
| 57.7% | (*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.7% | (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 56.7% | (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.7% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 47.2% | (*.f32 (sqrt.f32 #s(approx (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ✓ | 98.1% | (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 79.1% | (*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| ▶ | 73.9% | (*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) |
| 79.4% | (*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))) | |
| 98.1% | (*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) | |
| 79.4% | (*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) | |
| 76.0% | (*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) | |
| 96.2% | (*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 95.9% | (*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1))) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 63.5% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) | |
| 63.4% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) | |
| 68.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) | |
| 73.5% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) | |
| 65.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))))) | |
| ▶ | 65.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))))) |
| 65.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))))) | |
| -0.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) | |
| 65.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))))) | |
| 73.5% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))) | |
| 72.8% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))) | |
| 63.5% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1))) (fma.f32 u1 u1 #s(literal 1 binary32)))))) | |
| ▶ | 72.8% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
| 72.8% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) | |
| 79.6% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) | |
| 63.4% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))) | |
| ✓ | 79.7% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
| ▶ | 65.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
Compiled 1 929 to 1 543 computations (20% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) | |
| cost-diff | 0 | (sqrt.f32 u1) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) | |
| cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) | |
| cost-diff | 0 | (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))) | |
| cost-diff | 0 | (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))))) | |
| cost-diff | 0 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) | |
| cost-diff | 64 | (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))) | |
| cost-diff | 0 | (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))) | |
| cost-diff | 0 | (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)))) | |
| cost-diff | 0 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))))) | |
| cost-diff | 736 | (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)) | |
| cost-diff | 0 | (sqrt.f32 u1) | |
| cost-diff | 0 | #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) | |
| cost-diff | 0 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) | |
| cost-diff | 0 | (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) | |
| cost-diff | 0 | (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| cost-diff | 64 | (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 392 |
| 0 | 82 | 364 |
| 1 | 130 | 350 |
| 2 | 250 | 348 |
| 3 | 650 | 348 |
| 4 | 2136 | 348 |
| 5 | 5879 | 348 |
| 0 | 8145 | 340 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) |
(-.f32 u1 #s(literal 1 binary32)) |
u1 |
#s(literal 1 binary32) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) |
(sqrt.f32 u1) |
u1 |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)))) |
(/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))) |
u1 |
(fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)) |
(sqrt.f32 u1) |
#s(literal 1 binary32) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))))) |
(/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))) |
u1 |
(-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
(/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) |
(*.f32 u1 (fma.f32 u1 u1 u1)) |
(fma.f32 u1 u1 u1) |
(fma.f32 u1 u1 #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) |
(-.f32 #s(literal -1 binary32) u1) |
#s(literal -1 binary32) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) |
(sqrt.f32 u1) |
u1 |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
#s(literal 1 binary32) |
(/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) |
(-.f32 u1 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
u2 |
#s(literal 314159265359/50000000000 binary32) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (fma.f32 u1 (-.f32 #s(literal 2 binary32) u1) #s(literal -1 binary32))))) |
(sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) |
(sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (fma.f32 u1 (-.f32 #s(literal 2 binary32) u1) #s(literal -1 binary32)))) |
(/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (fma.f32 u1 (-.f32 #s(literal 2 binary32) u1) #s(literal -1 binary32))) |
#s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) |
(-.f32 u1 #s(literal 1 binary32)) |
u1 |
#s(literal 1 binary32) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) |
(fma.f32 u1 (-.f32 #s(literal 2 binary32) u1) #s(literal -1 binary32)) |
(-.f32 #s(literal 1 binary32) u1) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
#s(literal 314159265359/50000000000 binary32) |
u2 |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) |
(sqrt.f32 u1) |
u1 |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))) |
(sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) |
(/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))) |
(/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) |
u1 |
(fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)) |
(-.f32 u1 #s(literal -1 binary32)) |
(sqrt.f32 u1) |
#s(literal 1 binary32) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))))) |
(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))))) |
(/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))) |
(/.f32 u1 (fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))) |
u1 |
(-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
(fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
(/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) |
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1)) |
(*.f32 u1 (fma.f32 u1 u1 u1)) |
(*.f32 (fma.f32 u1 u1 u1) u1) |
(fma.f32 u1 u1 u1) |
(fma.f32 u1 u1 #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) |
(-.f32 #s(literal -1 binary32) u1) |
#s(literal -1 binary32) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(sqrt.f32 u1) |
u1 |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) |
#s(literal 1 binary32) |
(/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) |
(-.f32 u1 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
u2 |
#s(literal 314159265359/50000000000 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1496066744113176 | (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) | |
| accuracy | 0.28125 | (*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) | |
| accuracy | 0.30859375 | (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) | |
| accuracy | 0.34765625 | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) | |
| accuracy | 0.37890625 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) | |
| accuracy | 3.013765779461757 | (fma.f32 u1 u1 #s(literal 1 binary32)) | |
| accuracy | 7.639715395744086 | (fma.f32 u1 u1 u1) | |
| accuracy | 8.042857082947176 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) | |
| accuracy | 0.109375 | (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)))) | |
| accuracy | 0.359375 | (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))) | |
| accuracy | 7.261581974133497 | (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)) | |
| accuracy | 11.064781480228042 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))))) | |
| accuracy | 0 | (sqrt.f32 u1) | |
| accuracy | 6.211366133597608 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) | |
| accuracy | 6.988066422046871 | #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) | |
| accuracy | 0.1953125 | (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) | |
| accuracy | 0.30859375 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) | |
| accuracy | 0.3671875 | (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) | |
| accuracy | 0.47265625 | (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) |
| 83.0ms | 249× | 0 | valid |
| 7.0ms | 7× | 5 | exit |
Compiled 732 to 101 computations (86.2% saved)
ival-mult: 22.0ms (31% of total)ival-div: 13.0ms (18.3% of total)ival-sqrt: 10.0ms (14.1% of total)ival-sub: 7.0ms (9.9% of total)ival-cos: 6.0ms (8.5% of total)const: 5.0ms (7% of total)ival-add: 4.0ms (5.6% of total)adjust: 2.0ms (2.8% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) |
(sqrt.f32 u1) |
(fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)))) |
(/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))) |
(-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))))) |
(/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) |
(/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) |
(fma.f32 u1 u1 u1) |
(fma.f32 u1 u1 #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
| Outputs |
|---|
-1 |
(- (* 2 u1) 1) |
(- (* u1 (+ 2 (* -1 u1))) 1) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
1 |
(+ 1 u1) |
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1)))))))) |
(* u1 (+ 1 (* -1 u1))) |
(* u1 (+ 1 (* u1 (- u1 1)))) |
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))) |
(+ 1 (* -1 u1)) |
(+ 1 (* u1 (- (* 2 u1) 1))) |
(+ 1 (* u1 (- (* u1 (+ 2 (* -2 (pow u1 3)))) 1))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 3 (* 1/4 (/ 1 u1)))))))))) |
(* u1 (+ 1 (* u1 (+ 1 (* -1 u1))))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (- (* -3 u1) 1)))))) |
(cos (* 314159265359/50000000000 u2)) |
(+ (cos (* 314159265359/50000000000 u2)) (* -1/2 (* u1 (cos (* 314159265359/50000000000 u2))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 3/8 (* u1 (cos (* 314159265359/50000000000 u2))))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* u1 (+ (* -5/16 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 3/8 (cos (* 314159265359/50000000000 u2)))))))) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(/ 1 (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (/ u1 (cos (* 314159265359/50000000000 u2)))) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(+ (* u1 (+ (* -1/8 (/ u1 (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ 1 (cos (* 314159265359/50000000000 u2)))))) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(+ (* u1 (+ (* u1 (- (* 1/16 (/ u1 (cos (* 314159265359/50000000000 u2)))) (* 1/8 (/ 1 (cos (* 314159265359/50000000000 u2)))))) (* 1/2 (/ 1 (cos (* 314159265359/50000000000 u2)))))) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* -1 u1) |
(* u1 (- u1 1)) |
(+ 1 (pow u1 2)) |
(- u1 1) |
(- (* u1 (+ 1 (* -1 u1))) 1) |
(- (* u1 (+ 1 (* u1 (- u1 1)))) 1) |
(* -1 (pow u1 2)) |
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1)) |
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(* u1 (+ 1 (/ 1 u1))) |
(- 1 (* 1/2 (/ 1 u1))) |
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1))) |
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))) |
(- 1 (/ 1 u1)) |
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) |
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) |
(* u1 (- (+ 1 (/ 1 u1)) (/ 2 (pow u1 3)))) |
(* u1 (- (+ 1 (+ (/ 1 u1) (* 2 (/ 1 (pow u1 4))))) (/ 2 (pow u1 3)))) |
(- (+ 1 (+ (/ 3/8 (pow u1 2)) (* 11/16 (/ 1 (pow u1 3))))) (* 1/2 (/ 1 u1))) |
(- (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3)))) (/ 1 u1)) |
(* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 u1))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))) |
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))))) |
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* -5/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2)))))) |
(* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))))) |
(pow u1 2) |
(* (pow u1 2) (- 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2)))) |
(/ -1 u1) |
(/ (- (/ 1 u1) 1) u1) |
(/ (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))) u1) |
(/ (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))) u1) |
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1)) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* u1 (pow (sqrt -1) 2))) |
(* -1 (* u1 (- (pow (sqrt -1) 2) (/ 1 u1)))) |
(+ 1 (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2))))) |
(+ 1 (+ (/ 3/8 (* (pow u1 2) (pow (sqrt -1) 4))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* 5/16 (/ 1 (* u1 (pow (sqrt -1) 6)))) (* 3/8 (/ 1 (pow (sqrt -1) 4)))) u1)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) u1))) |
(/ -1 (pow (sqrt -1) 2)) |
(* -1 (+ (/ 1 (* u1 (pow (sqrt -1) 4))) (/ 1 (pow (sqrt -1) 2)))) |
(- (* -1 (/ (+ (/ 1 (* u1 (pow (sqrt -1) 6))) (/ 1 (pow (sqrt -1) 4))) u1)) (/ 1 (pow (sqrt -1) 2))) |
(- (* -1 (/ (+ (/ 1 (* u1 (pow (sqrt -1) 6))) (+ (/ 1 (* (pow u1 2) (pow (sqrt -1) 8))) (/ 1 (pow (sqrt -1) 4)))) u1)) (/ 1 (pow (sqrt -1) 2))) |
(* -1 (* u1 (- (* -1 (/ (- 1 (* 2 (/ 1 (pow u1 2)))) u1)) 1))) |
(* -1 (* u1 (- (* -1 (/ (- (+ 1 (/ 2 (pow u1 3))) (* 2 (/ 1 (pow u1 2)))) u1)) 1))) |
(pow (sqrt -1) 2) |
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* -1/2 (/ (- 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1))) u1))) |
(* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* -1/4 (/ u1 (pow (sqrt -1) 2)))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) |
(* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) |
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt u1) (/ (pow (sqrt -1) 2) (cos (* 314159265359/50000000000 u2))))) |
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (pow (sqrt -1) 2) (cos (* 314159265359/50000000000 u2))))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (pow (sqrt -1) 2) (cos (* 314159265359/50000000000 u2)))))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (pow (sqrt -1) 2) (cos (* 314159265359/50000000000 u2))))))))) |
(* -1 (/ (- 1 (/ 1 u1)) u1)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))) u1)) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(sqrt (/ 1 (+ 1 u1))) |
(+ (sqrt (/ 1 (+ 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (+ 1 u1)))))) |
(+ (sqrt (/ 1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (+ 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (+ 1 u1)))))))) |
(+ (sqrt (/ 1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (+ 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (+ 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (+ 1 u1))))))))) |
(sqrt (/ u1 (+ 1 u1))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1))))))))) |
(sqrt (+ 1 u1)) |
(+ (sqrt (+ 1 u1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ 1 u1))))) |
(+ (sqrt (+ 1 u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (+ 1 u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ 1 u1))))))) |
(+ (sqrt (+ 1 u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (+ 1 u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (+ 1 u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ 1 u1))))))))) |
(* 314159265359/50000000000 u2) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (+ 1 u1)))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (/ 1 (cos (* 314159265359/50000000000 u2))) (sqrt (+ 1 u1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | u2 | @ | -inf | ((* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (+ (* (sqrt u1) (sqrt u1)) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1))) (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1)))) (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000)))) (* (sqrt u1) (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000))))) (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (- u1 1) u1) (+ (* u1 u1) u1) (+ (* u1 u1) 1) (/ 1 (- -1 u1)) (* u2 314159265359/50000000000) (cos (* u2 314159265359/50000000000))) |
| 5.0ms | u1 | @ | -inf | ((* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (+ (* (sqrt u1) (sqrt u1)) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1))) (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1)))) (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000)))) (* (sqrt u1) (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000))))) (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (- u1 1) u1) (+ (* u1 u1) u1) (+ (* u1 u1) 1) (/ 1 (- -1 u1)) (* u2 314159265359/50000000000) (cos (* u2 314159265359/50000000000))) |
| 3.0ms | u1 | @ | inf | ((* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (+ (* (sqrt u1) (sqrt u1)) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1))) (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1)))) (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000)))) (* (sqrt u1) (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000))))) (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (- u1 1) u1) (+ (* u1 u1) u1) (+ (* u1 u1) 1) (/ 1 (- -1 u1)) (* u2 314159265359/50000000000) (cos (* u2 314159265359/50000000000))) |
| 3.0ms | u1 | @ | 0 | ((* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (+ (* (sqrt u1) (sqrt u1)) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1))) (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1)))) (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000)))) (* (sqrt u1) (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000))))) (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (- u1 1) u1) (+ (* u1 u1) u1) (+ (* u1 u1) 1) (/ 1 (- -1 u1)) (* u2 314159265359/50000000000) (cos (* u2 314159265359/50000000000))) |
| 3.0ms | u2 | @ | inf | ((* (- u1 1) (- 1 u1)) (* (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1)))) (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (+ (* (sqrt u1) (sqrt u1)) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1))) (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1)))) (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000)))) (* (sqrt u1) (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000))))) (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000))) (* 314159265359/50000000000 u2) (* (- u1 1) u1) (+ (* u1 u1) u1) (+ (* u1 u1) 1) (/ 1 (- -1 u1)) (* u2 314159265359/50000000000) (cos (* u2 314159265359/50000000000))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 607 | 2927 |
| 1 | 1811 | 2525 |
| 2 | 5486 | 2494 |
| 0 | 8318 | 2348 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 2 u1) 1) |
(- (* u1 (+ 2 (* -1 u1))) 1) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
u1 |
(* u1 (+ 1 u1)) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
1 |
(+ 1 u1) |
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1)))))))) |
(* u1 (+ 1 (* -1 u1))) |
(* u1 (+ 1 (* u1 (- u1 1)))) |
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))) |
(+ 1 (* -1 u1)) |
(+ 1 (* u1 (- (* 2 u1) 1))) |
(+ 1 (* u1 (- (* u1 (+ 2 (* -2 (pow u1 3)))) 1))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 3 (* 1/4 (/ 1 u1)))))))))) |
(* u1 (+ 1 (* u1 (+ 1 (* -1 u1))))) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (- (* -3 u1) 1)))))) |
(cos (* 314159265359/50000000000 u2)) |
(+ (cos (* 314159265359/50000000000 u2)) (* -1/2 (* u1 (cos (* 314159265359/50000000000 u2))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 3/8 (* u1 (cos (* 314159265359/50000000000 u2))))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* u1 (+ (* -5/16 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 3/8 (cos (* 314159265359/50000000000 u2)))))))) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(/ 1 (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (/ u1 (cos (* 314159265359/50000000000 u2)))) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(+ (* u1 (+ (* -1/8 (/ u1 (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ 1 (cos (* 314159265359/50000000000 u2)))))) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(+ (* u1 (+ (* u1 (- (* 1/16 (/ u1 (cos (* 314159265359/50000000000 u2)))) (* 1/8 (/ 1 (cos (* 314159265359/50000000000 u2)))))) (* 1/2 (/ 1 (cos (* 314159265359/50000000000 u2)))))) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* -1 u1) |
(* u1 (- u1 1)) |
(+ 1 (pow u1 2)) |
(- u1 1) |
(- (* u1 (+ 1 (* -1 u1))) 1) |
(- (* u1 (+ 1 (* u1 (- u1 1)))) 1) |
(* -1 (pow u1 2)) |
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1)) |
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2))))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(sqrt -1) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(* -1 (+ 1 (/ 1 u1))) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(* u1 (+ 1 (/ 1 u1))) |
(- 1 (* 1/2 (/ 1 u1))) |
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1))) |
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))) |
(- 1 (/ 1 u1)) |
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) |
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) |
(* u1 (- (+ 1 (/ 1 u1)) (/ 2 (pow u1 3)))) |
(* u1 (- (+ 1 (+ (/ 1 u1) (* 2 (/ 1 (pow u1 4))))) (/ 2 (pow u1 3)))) |
(- (+ 1 (+ (/ 3/8 (pow u1 2)) (* 11/16 (/ 1 (pow u1 3))))) (* 1/2 (/ 1 u1))) |
(- (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3)))) (/ 1 u1)) |
(* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 u1))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))) |
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))))) |
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* -5/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2)))))) |
(* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))))) |
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))))) |
(pow u1 2) |
(* (pow u1 2) (- 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2)))) |
(/ -1 u1) |
(/ (- (/ 1 u1) 1) u1) |
(/ (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))) u1) |
(/ (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))) u1) |
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1)) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) |
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) |
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) |
(* -1 (* (sqrt u1) (pow (sqrt -1) 2))) |
(* -1 (* u1 (pow (sqrt -1) 2))) |
(* -1 (* u1 (- (pow (sqrt -1) 2) (/ 1 u1)))) |
(+ 1 (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2))))) |
(+ 1 (+ (/ 3/8 (* (pow u1 2) (pow (sqrt -1) 4))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* 5/16 (/ 1 (* u1 (pow (sqrt -1) 6)))) (* 3/8 (/ 1 (pow (sqrt -1) 4)))) u1)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) u1))) |
(/ -1 (pow (sqrt -1) 2)) |
(* -1 (+ (/ 1 (* u1 (pow (sqrt -1) 4))) (/ 1 (pow (sqrt -1) 2)))) |
(- (* -1 (/ (+ (/ 1 (* u1 (pow (sqrt -1) 6))) (/ 1 (pow (sqrt -1) 4))) u1)) (/ 1 (pow (sqrt -1) 2))) |
(- (* -1 (/ (+ (/ 1 (* u1 (pow (sqrt -1) 6))) (+ (/ 1 (* (pow u1 2) (pow (sqrt -1) 8))) (/ 1 (pow (sqrt -1) 4)))) u1)) (/ 1 (pow (sqrt -1) 2))) |
(* -1 (* u1 (- (* -1 (/ (- 1 (* 2 (/ 1 (pow u1 2)))) u1)) 1))) |
(* -1 (* u1 (- (* -1 (/ (- (+ 1 (/ 2 (pow u1 3))) (* 2 (/ 1 (pow u1 2)))) u1)) 1))) |
(pow (sqrt -1) 2) |
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* -1/2 (/ (- 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1))) u1))) |
(* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* -1/4 (/ u1 (pow (sqrt -1) 2)))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) |
(* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) |
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt u1) (/ (pow (sqrt -1) 2) (cos (* 314159265359/50000000000 u2))))) |
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (pow (sqrt -1) 2) (cos (* 314159265359/50000000000 u2))))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (pow (sqrt -1) 2) (cos (* 314159265359/50000000000 u2)))))))) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (pow (sqrt -1) 2) (cos (* 314159265359/50000000000 u2))))))))) |
(* -1 (/ (- 1 (/ 1 u1)) u1)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))) u1)) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(sqrt (/ 1 (+ 1 u1))) |
(+ (sqrt (/ 1 (+ 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (+ 1 u1)))))) |
(+ (sqrt (/ 1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (+ 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (+ 1 u1)))))))) |
(+ (sqrt (/ 1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (+ 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (+ 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (+ 1 u1))))))))) |
(sqrt (/ u1 (+ 1 u1))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1))))))))) |
(sqrt (+ 1 u1)) |
(+ (sqrt (+ 1 u1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ 1 u1))))) |
(+ (sqrt (+ 1 u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (+ 1 u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ 1 u1))))))) |
(+ (sqrt (+ 1 u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (+ 1 u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (+ 1 u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ 1 u1))))))))) |
(* 314159265359/50000000000 u2) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (+ 1 u1)))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (/ 1 (cos (* 314159265359/50000000000 u2))) (sqrt (+ 1 u1))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary32) |
(- (* 2 u1) 1) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal -1 binary32)) |
(- (* u1 (+ 2 (* -1 u1))) 1) |
(fma.f32 (-.f32 #s(literal 2 binary32) u1) u1 #s(literal -1 binary32)) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(sqrt u1) |
(sqrt.f32 u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1)))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1)) |
u1 |
(* u1 (+ 1 u1)) |
(fma.f32 u1 u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 u1)))) |
(fma.f32 (fma.f32 u1 u1 u1) u1 u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) |
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1) |
1 |
#s(literal 1 binary32) |
(+ 1 u1) |
(+.f32 #s(literal 1 binary32) u1) |
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) |
(fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1))))) |
(fma.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1)))))))) |
(fma.f32 (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1))) u1 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1)) |
(* u1 (+ 1 (* -1 u1))) |
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1) |
(* u1 (+ 1 (* u1 (- u1 1)))) |
(*.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1) |
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))) |
(*.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)) u1) |
(+ 1 (* -1 u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(+ 1 (* u1 (- (* 2 u1) 1))) |
(fma.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)) |
(+ 1 (* u1 (- (* u1 (+ 2 (* -2 (pow u1 3)))) 1))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 2 binary32)) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 3 (* 1/4 (/ 1 u1)))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) (fma.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) u1) #s(literal 3 binary32)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1)) |
(* u1 (+ 1 (* u1 (+ 1 (* -1 u1))))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1) |
(* u1 (+ 1 (* u1 (+ 1 (* u1 (- (* -3 u1) 1)))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -3 binary32) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1) |
(cos (* 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(+ (cos (* 314159265359/50000000000 u2)) (* -1/2 (* u1 (cos (* 314159265359/50000000000 u2))))) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 3/8 (* u1 (cos (* 314159265359/50000000000 u2))))))) |
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 3/8 binary32) u1 #s(literal -1/2 binary32))) u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* u1 (+ (* -5/16 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 3/8 (cos (* 314159265359/50000000000 u2)))))))) |
(fma.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal -5/16 binary32) u1 #s(literal 3/8 binary32))) (*.f32 u1 u1))) |
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))) |
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1 (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(/ 1 (cos (* 314159265359/50000000000 u2))) |
(/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(+ (* 1/2 (/ u1 (cos (* 314159265359/50000000000 u2)))) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(+ (* u1 (+ (* -1/8 (/ u1 (cos (* 314159265359/50000000000 u2)))) (* 1/2 (/ 1 (cos (* 314159265359/50000000000 u2)))))) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(+ (* u1 (+ (* u1 (- (* 1/16 (/ u1 (cos (* 314159265359/50000000000 u2)))) (* 1/8 (/ 1 (cos (* 314159265359/50000000000 u2)))))) (* 1/2 (/ 1 (cos (* 314159265359/50000000000 u2)))))) (/ 1 (cos (* 314159265359/50000000000 u2)))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 u1 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1/8 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1 (/.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(* -1 u1) |
(neg.f32 u1) |
(* u1 (- u1 1)) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) |
(+ 1 (pow u1 2)) |
(fma.f32 u1 u1 #s(literal 1 binary32)) |
(- u1 1) |
(-.f32 u1 #s(literal 1 binary32)) |
(- (* u1 (+ 1 (* -1 u1))) 1) |
(fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal -1 binary32)) |
(- (* u1 (+ 1 (* u1 (- u1 1)))) 1) |
(fma.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal -1 binary32)) |
(* -1 (pow u1 2)) |
(*.f32 (neg.f32 u1) u1) |
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1)) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) u1) u1) |
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2))))) |
(fma.f32 (/.f32 #s(literal 2 binary32) u1) (*.f32 u1 u1) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) |
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) |
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) |
(-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) |
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1)))) |
(-.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) |
(* -1 (+ 1 (/ 1 u1))) |
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) |
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) |
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) |
(-.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) u1)) |
(* u1 (+ 1 (/ 1 u1))) |
(+.f32 #s(literal 1 binary32) u1) |
(- 1 (* 1/2 (/ 1 u1))) |
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) |
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1))) |
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) |
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))) |
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(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) #s(literal 1/2 binary32) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(+ (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(-.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/8 binary32) u1))) u1)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) |
(-.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (fma.f32 #s(literal -3/8 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 #s(literal 5/16 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1)) u1)) u1)) |
(* -1 (* (sqrt u1) (/ (pow (sqrt -1) 2) (cos (* 314159265359/50000000000 u2))))) |
(/.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (pow (sqrt -1) 2) (cos (* 314159265359/50000000000 u2))))))) |
(*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 u1)) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (pow (sqrt -1) 2) (cos (* 314159265359/50000000000 u2)))))))) |
(*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (neg.f32 u1)) |
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt (/ 1 u1)) (/ (pow (sqrt -1) 2) (cos (* 314159265359/50000000000 u2))))))))) |
(*.f32 (fma.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1/16 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) (neg.f32 u1)) |
(* -1 (/ (- 1 (/ 1 u1)) u1)) |
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)) |
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))) u1)) |
(/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1) #s(literal -1 binary32)) u1) |
(sqrt (/ u1 (- 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(sqrt (/ 1 (+ 1 u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (/ 1 (+ 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (+ 1 u1)))))) |
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ 1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (+ 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (+ 1 u1)))))))) |
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ 1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (+ 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (+ 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (+ 1 u1))))))))) |
(fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(sqrt (/ u1 (+ 1 u1))) |
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))) |
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ u1 (+ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (+ 1 u1))))))))) |
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) |
(sqrt (+ 1 u1)) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) |
(+ (sqrt (+ 1 u1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ 1 u1))))) |
(*.f32 (fma.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (+ 1 u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (+ 1 u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ 1 u1))))))) |
(fma.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (+ 1 u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (+ 1 u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (+ 1 u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ 1 u1))))))))) |
(fma.f32 (fma.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32))))) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (+ 1 u1)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(* (/ 1 (cos (* 314159265359/50000000000 u2))) (sqrt (+ 1 u1))) |
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 318 |
| 0 | 82 | 292 |
| 1 | 295 | 280 |
| 2 | 2232 | 275 |
| 0 | 8211 | 271 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) |
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) |
(sqrt.f32 u1) |
(fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)))) |
(/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))) |
(-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))))) |
(/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) |
(/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) |
(fma.f32 u1 u1 u1) |
(fma.f32 u1 u1 #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
| Outputs |
|---|
(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32))) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal -1 binary32) u1)) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 u1 #s(literal 1 binary32)))) (neg.f32 (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)))) |
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(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32))))) (neg.f32 (neg.f32 (fma.f32 u1 (-.f32 u1 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 4 binary32)))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (*.f32 u1 u1))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 2 binary32))) |
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (-.f32 u1 #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) |
(/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 u1 (*.f32 u1 u1))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) |
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32)))) (neg.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32)))) (neg.f32 (fma.f32 u1 (-.f32 u1 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 4 binary32))))) |
(/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) |
(/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32))) (fma.f32 u1 u1 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (pow.f32 u1 #s(literal 3 binary32))))) |
(/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32))) (fma.f32 u1 (-.f32 u1 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 4 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u1 (-.f32 u1 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (-.f32 u1 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32))))) |
(-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (/.f32 (*.f32 u1 u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) |
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u1 u1)) |
(fma.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 4 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 4 binary32)) u1) |
(fma.f32 (pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 u1 u1)) |
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) u1 (*.f32 u1 u1)) |
(fma.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (sqrt.f32 u1) u1) |
(fma.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (*.f32 u1 u1)) |
(fma.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 u1)) |
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) u1) |
(fma.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal 3/2 binary32)) u1) |
(fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 u1 u1)) |
(fma.f32 (neg.f32 u1) (neg.f32 u1) u1) |
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) u1) |
(fma.f32 #s(literal 1 binary32) u1 (*.f32 u1 u1)) |
(fma.f32 u1 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1)) |
(fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)) |
(fma.f32 u1 u1 u1) |
(pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 u1 (-.f32 u1 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32)))) #s(literal -1 binary32)) |
(+.f32 (*.f32 u1 u1) u1) |
(+.f32 u1 (*.f32 u1 u1)) |
(*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) |
(*.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))) |
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) |
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) |
(/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))) |
(/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) |
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)))) |
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) |
(-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) |
(fma.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 4 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32)) |
(fma.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (sqrt.f32 u1) #s(literal 1 binary32)) |
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) #s(literal 1 binary32)) |
(fma.f32 u1 u1 #s(literal 1 binary32)) |
(pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) |
(pow.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) |
(exp.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log1p.f32 u1))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
Compiled 36 221 to 4 684 computations (87.1% saved)
53 alts after pruning (48 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 963 | 21 | 984 |
| Fresh | 11 | 27 | 38 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 977 | 53 | 1 030 |
| Status | Accuracy | Program |
|---|---|---|
| 98.5% | (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 73.9% | (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))) | |
| 73.9% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))) | |
| 97.5% | (*.f32 (pow.f32 (pow.f32 u1 #s(literal -1/4 binary32)) #s(literal -2 binary32)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 73.4% | (*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ▶ | 98.0% | (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| ▶ | 98.8% | (*.f32 (/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
| 98.2% | (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 97.7% | (*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 97.9% | (*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.2% | (*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #s(approx (* (- u1 1) (- 1 u1)) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 66.4% | (*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ✓ | 98.9% | (*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 73.6% | (*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(approx (* (- u1 1) (- 1 u1)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.5% | (*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (+.f32 u1 (sqrt.f32 u1)) (-.f32 u1 (sqrt.f32 u1)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ✓ | 98.9% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 79.7% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) | |
| 79.7% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) | |
| 56.8% | (*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.7% | (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.7% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 46.7% | (*.f32 (sqrt.f32 #s(approx (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ✓ | 98.1% | (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 79.1% | (*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 75.9% | (*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) | |
| 98.1% | (*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) | |
| 79.4% | (*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) | |
| 76.0% | (*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) | |
| 63.4% | (*.f32 (sqrt.f32 u1) #s(approx (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) | |
| 96.2% | (*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 95.9% | (*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1))) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 73.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) | |
| 63.5% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) | |
| 73.2% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))) u1)))) | |
| 63.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))) | |
| 63.4% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) | |
| ▶ | 63.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) |
| 73.5% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))) | |
| 72.8% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) | |
| ▶ | 72.7% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))))) |
| 65.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (/ 1 (- -1 u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal -1 binary32))))))) | |
| 73.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (/ 1 (- -1 u1)) (-.f32 u1 #s(literal 1 binary32))))))) | |
| 72.7% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (+.f32 (*.f32 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) | |
| 72.8% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) | |
| 79.6% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) | |
| 63.4% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))) | |
| ✓ | 79.7% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
| 63.4% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))) | |
| 63.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) | |
| 18.8% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) #s(literal 1 binary32)))) | |
| ▶ | 4.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
| ✓ | 65.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
| 4.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) |
Compiled 2 454 to 1 938 computations (21% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 u1 u1) | |
| cost-diff | 0 | (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) | |
| cost-diff | 0 | (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| cost-diff | 416 | (sqrt.f32 (*.f32 u1 u1)) | |
| cost-diff | 0 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))))) | |
| cost-diff | 64 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) | |
| cost-diff | 64 | (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))) | |
| cost-diff | 352 | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) | |
| cost-diff | 0 | (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) | |
| cost-diff | 0 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) | |
| cost-diff | 544 | (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))) | |
| cost-diff | 0 | #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32)) | |
| cost-diff | 0 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) | |
| cost-diff | 0 | (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) | |
| cost-diff | 0 | (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) | |
| cost-diff | 0 | (/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| cost-diff | 0 | (*.f32 (/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 485 |
| 0 | 96 | 459 |
| 1 | 158 | 434 |
| 2 | 290 | 422 |
| 3 | 647 | 393 |
| 4 | 2171 | 393 |
| 5 | 5860 | 393 |
| 0 | 8276 | 387 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) |
(neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) |
#s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) |
(-.f32 u1 #s(literal 1 binary32)) |
u1 |
#s(literal 1 binary32) |
(fabs.f32 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
u2 |
#s(literal 314159265359/50000000000 binary32) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
#s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) |
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) |
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) |
u1 |
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))) |
(fma.f32 u1 u1 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(-.f32 u1 #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))))) |
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))))) |
(/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) |
u1 |
(-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))) |
(/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) |
(*.f32 u1 (fma.f32 u1 u1 u1)) |
(fma.f32 u1 u1 u1) |
(fma.f32 u1 u1 #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) |
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) |
(*.f32 u1 u1) |
(-.f32 u1 #s(literal 1 binary32)) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 u1 u1)) |
(*.f32 u1 u1) |
u1 |
(sqrt.f32 u1) |
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
u2 |
#s(literal 314159265359/50000000000 binary32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
| Outputs |
|---|
(*.f32 (/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))) |
(/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) |
(neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) |
#s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) |
(-.f32 u1 #s(literal 1 binary32)) |
u1 |
#s(literal 1 binary32) |
(fabs.f32 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
u2 |
#s(literal 314159265359/50000000000 binary32) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
#s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))) |
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) |
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) |
(/.f32 u1 (-.f32 u1 #s(literal -1 binary32))) |
u1 |
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))) |
(-.f32 u1 #s(literal -1 binary32)) |
(fma.f32 u1 u1 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(-.f32 u1 #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))))) |
(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))))) |
(/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) |
(/.f32 u1 (fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))) |
u1 |
(-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))) |
(fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))) |
(/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) |
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1)) |
(*.f32 u1 (fma.f32 u1 u1 u1)) |
(*.f32 (fma.f32 u1 u1 u1) u1) |
(fma.f32 u1 u1 u1) |
(fma.f32 u1 u1 #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) |
(/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) |
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) |
(*.f32 u1 u1) |
(-.f32 u1 #s(literal 1 binary32)) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (/.f32 (fabs.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) |
(/.f32 (fabs.f32 u1) (sqrt.f32 u1)) |
(sqrt.f32 (*.f32 u1 u1)) |
(fabs.f32 u1) |
(*.f32 u1 u1) |
u1 |
(sqrt.f32 u1) |
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
u2 |
#s(literal 314159265359/50000000000 binary32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) |
(-.f32 #s(literal 1 binary32) u1) |
#s(literal 1 binary32) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2109375 | (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| accuracy | 0.31640625 | (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) | |
| accuracy | 0.3756637695368841 | (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| accuracy | 0.4921875 | (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) | |
| accuracy | 0.25 | (*.f32 u1 (fma.f32 u1 u1 u1)) | |
| accuracy | 3.5926145517364523 | (fma.f32 u1 u1 #s(literal 1 binary32)) | |
| accuracy | 8.246635747461356 | (fma.f32 u1 u1 u1) | |
| accuracy | 8.679959670102251 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))))) | |
| accuracy | 0.24609375 | (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))) | |
| accuracy | 0.375 | (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) | |
| accuracy | 3.943214576404992 | (fma.f32 u1 u1 #s(literal -1 binary32)) | |
| accuracy | 11.72286588160996 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) | |
| accuracy | 8.679959670102251 | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) | |
| accuracy | 30.940941903027536 | #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32)) | |
| accuracy | 0.1597041841797596 | (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) | |
| accuracy | 0.1953125 | (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) | |
| accuracy | 0.26171875 | (/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| accuracy | 0.31640625 | (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
| 197.0ms | 256× | 0 | valid |
Compiled 899 to 121 computations (86.5% saved)
ival-sqrt: 53.0ms (40.8% of total)ival-neg: 22.0ms (16.9% of total)ival-div: 17.0ms (13.1% of total)ival-mult: 15.0ms (11.5% of total)ival-sub: 8.0ms (6.2% of total)ival-cos: 6.0ms (4.6% of total)const: 4.0ms (3.1% of total)ival-add: 3.0ms (2.3% of total)ival-fabs: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 (/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) |
(neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
#s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32)) |
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) |
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) |
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))) |
(-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))))) |
(sqrt.f32 (*.f32 u1 u1)) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) |
(*.f32 u1 u1) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(fma.f32 u1 u1 #s(literal -1 binary32)) |
(fma.f32 u1 u1 u1) |
(fma.f32 u1 u1 #s(literal 1 binary32)) |
(*.f32 u1 (fma.f32 u1 u1 u1)) |
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| Outputs |
|---|
(* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (fabs (- 1 u1)))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (/ (cos (* 314159265359/50000000000 u2)) (fabs (- 1 u1))))) (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (fabs (- 1 u1))))) |
(+ (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (fabs (- 1 u1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (* (fabs (- 1 u1)) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (fabs (- 1 u1)))))))) |
(+ (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (fabs (- 1 u1)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (fabs (- 1 u1))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (* (fabs (- 1 u1)) (pow (sqrt -1) 2))))) (* 1/16 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (* (fabs (- 1 u1)) (pow (sqrt -1) 4)))))))))) |
(* (sqrt u1) (/ (pow (sqrt -1) 2) (fabs (- 1 u1)))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (/ 1 (fabs (- 1 u1))))) (* (sqrt u1) (/ (pow (sqrt -1) 2) (fabs (- 1 u1))))) |
(+ (* (sqrt u1) (/ (pow (sqrt -1) 2) (fabs (- 1 u1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (/ 1 (* (fabs (- 1 u1)) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (fabs (- 1 u1)))))))) |
(+ (* (sqrt u1) (/ (pow (sqrt -1) 2) (fabs (- 1 u1)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (fabs (- 1 u1))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (fabs (- 1 u1)) (pow (sqrt -1) 2))))) (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (* (fabs (- 1 u1)) (pow (sqrt -1) 4)))))))))) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(+ (* 1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (pow (sqrt -1) 4))))))))) |
u1 |
(* u1 (+ 1 (* -1 u1))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 3 (* 1/4 (/ 1 u1)))))))))) |
1 |
(+ 1 u1) |
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1)))))))) |
(* u1 (+ 1 (* u1 (- u1 1)))) |
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))) |
-1 |
(- u1 1) |
(- (* u1 (+ 1 (* -1 u1))) 1) |
(- (* u1 (+ 1 (* u1 (- u1 1)))) 1) |
(+ 1 (* -1 u1)) |
(+ 1 (* u1 (- (* 2 u1) 1))) |
(+ 1 (* u1 (- (* u1 (+ 2 (* -2 (pow u1 3)))) 1))) |
(+ 1 (pow u1 2)) |
(+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))) |
(+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))) |
(pow u1 2) |
(* -1 u1) |
(* u1 (- u1 1)) |
(- (pow u1 2) 1) |
(* u1 (+ 1 u1)) |
(* (pow u1 2) (+ 1 u1)) |
(cos (* 314159265359/50000000000 u2)) |
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* 314159265359/50000000000 u2))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 1/2 (cos (* 314159265359/50000000000 u2)))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 3/8 (cos (* 314159265359/50000000000 u2)))))))) |
(/ (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (fabs (- 1 u1))) |
(* u1 (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (- 1 u1))))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (- 1 u1))))) |
(* u1 (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (- 1 u1))))) (+ (* -1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* (pow u1 2) (fabs (- 1 u1))))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (- 1 u1)))))) |
(* u1 (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (- 1 u1))))) (+ (* -1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* (pow u1 2) (fabs (- 1 u1))))) (+ (* -1/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* (pow u1 3) (fabs (- 1 u1))))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (- 1 u1))))))) |
(/ (* u1 (sqrt -1)) (fabs (- 1 u1))) |
(* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (fabs (- 1 u1))))) (/ (sqrt -1) (fabs (- 1 u1))))) |
(* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (fabs (- 1 u1))))) (+ (* -1/8 (/ (sqrt -1) (* (pow u1 2) (fabs (- 1 u1))))) (/ (sqrt -1) (fabs (- 1 u1)))))) |
(* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (fabs (- 1 u1))))) (+ (* -1/8 (/ (sqrt -1) (* (pow u1 2) (fabs (- 1 u1))))) (+ (* -1/16 (/ (sqrt -1) (* (pow u1 3) (fabs (- 1 u1))))) (/ (sqrt -1) (fabs (- 1 u1))))))) |
(* u1 (sqrt -1)) |
(* u1 (+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))) |
(* u1 (+ (sqrt -1) (+ (* -1/2 (/ (sqrt -1) u1)) (* -1/8 (/ (sqrt -1) (pow u1 2)))))) |
(* u1 (+ (sqrt -1) (+ (* -1/2 (/ (sqrt -1) u1)) (+ (* -1/8 (/ (sqrt -1) (pow u1 2))) (* -1/16 (/ (sqrt -1) (pow u1 3))))))) |
(* -1 (pow u1 2)) |
(* (pow u1 2) (- (/ 1 u1) 1)) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(- 1 (* 1/2 (/ 1 u1))) |
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1))) |
(- (+ 1 (+ (/ 3/8 (pow u1 2)) (* 11/16 (/ 1 (pow u1 3))))) (* 1/2 (/ 1 u1))) |
(* u1 (+ 1 (/ 1 u1))) |
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))) |
(- 1 (/ 1 u1)) |
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) |
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) |
(/ -1 u1) |
(/ (- (/ 1 u1) 1) u1) |
(/ (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))) u1) |
(/ (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))) u1) |
(* u1 (- (+ 1 (/ 1 u1)) (/ 2 (pow u1 3)))) |
(* u1 (- (+ 1 (+ (/ 1 u1) (* 2 (/ 1 (pow u1 4))))) (/ 2 (pow u1 3)))) |
(/ -1 (pow u1 2)) |
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) (pow u1 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) (pow u1 2)) |
(* (pow u1 2) (- 1 (/ 1 u1))) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2)))) |
(pow u1 3) |
(* (pow u1 3) (+ 1 (/ 1 u1))) |
(* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) |
(* -1 (/ (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (fabs (+ 1 (* -1 u1))))) |
(* -1 (* u1 (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (+ 1 (* -1 u1)))))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1))))))) |
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (+ 1 (* -1 u1)))))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1)))))) u1)) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1))))))) |
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1))))) (* -1/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (+ 1 (* -1 u1))))))) u1)) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1)))))) u1)) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1))))))) |
(* -1 (/ (* u1 (sqrt -1)) (fabs (+ 1 (* -1 u1))))) |
(* -1 (* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (fabs (+ 1 (* -1 u1)))))) (/ (sqrt -1) (fabs (+ 1 (* -1 u1))))))) |
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (sqrt -1) (* u1 (fabs (+ 1 (* -1 u1)))))) (* 1/2 (/ (sqrt -1) (fabs (+ 1 (* -1 u1)))))) u1)) (/ (sqrt -1) (fabs (+ 1 (* -1 u1))))))) |
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (sqrt -1) (fabs (+ 1 (* -1 u1))))) (* -1/16 (/ (sqrt -1) (* u1 (fabs (+ 1 (* -1 u1))))))) u1)) (* 1/2 (/ (sqrt -1) (fabs (+ 1 (* -1 u1)))))) u1)) (/ (sqrt -1) (fabs (+ 1 (* -1 u1))))))) |
(* -1 (* u1 (sqrt -1))) |
(* -1 (* u1 (+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1))))) |
(* -1 (* u1 (+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1))))) |
(* -1 (* u1 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1))))) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(pow (sqrt -1) 2) |
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* -1/2 (/ (- 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(+ 1 (* -1 (/ (- 1/2 (* 3/8 (/ 1 u1))) u1))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 u1))) u1))) u1))) |
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))) |
(* -1 (/ (- 1 (/ 1 u1)) u1)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))) u1)) |
(* -1 (* u1 (- (* -1 (/ (- 1 (* 2 (/ 1 (pow u1 2)))) u1)) 1))) |
(* -1 (* u1 (- (* -1 (/ (- (+ 1 (/ 2 (pow u1 3))) (* 2 (/ 1 (pow u1 2)))) u1)) 1))) |
(/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(* -1 (sqrt u1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1)))) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (* (pow u2 2) (sqrt -1)) (fabs (- 1 u1))))) (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1))))) |
(+ (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (* (pow u2 2) (sqrt -1)) (fabs (- 1 u1)))))))) |
(+ (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (* (pow u2 2) (sqrt -1)) (fabs (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1)))))))))) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(* 314159265359/50000000000 u2) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(sqrt (/ 1 (- 1 u1))) |
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))) |
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))) |
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))) |
(* (sqrt (* u1 (- u1 1))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (- 1 u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | u1 | @ | inf | ((* (/ (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (fabs (- 1 u1))) (cos (* u2 314159265359/50000000000))) (/ (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (fabs (- 1 u1))) (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (/ (+ (* u1 u1) -1) (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- u1 1)))) (/ u1 (/ (+ (* u1 u1) -1) (- u1 1))) (* (/ 1 (- 1 (* u1 u1))) (- u1 1)) (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (* (/ 1 (- 1 (* u1 u1))) (- u1 1))) (/ 1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* u1 u1)) (* (/ (sqrt (* u1 u1)) (sqrt u1)) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (/ (sqrt (* u1 u1)) (sqrt u1)) (* u1 u1) (* u2 314159265359/50000000000) (* (- u1 1) u1) (cos (* u2 314159265359/50000000000)) (+ (* u1 u1) -1) (+ (* u1 u1) u1) (+ (* u1 u1) 1) (* u1 (+ (* u1 u1) u1)) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) |
| 4.0ms | u1 | @ | -inf | ((* (/ (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (fabs (- 1 u1))) (cos (* u2 314159265359/50000000000))) (/ (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (fabs (- 1 u1))) (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (/ (+ (* u1 u1) -1) (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- u1 1)))) (/ u1 (/ (+ (* u1 u1) -1) (- u1 1))) (* (/ 1 (- 1 (* u1 u1))) (- u1 1)) (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (* (/ 1 (- 1 (* u1 u1))) (- u1 1))) (/ 1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* u1 u1)) (* (/ (sqrt (* u1 u1)) (sqrt u1)) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (/ (sqrt (* u1 u1)) (sqrt u1)) (* u1 u1) (* u2 314159265359/50000000000) (* (- u1 1) u1) (cos (* u2 314159265359/50000000000)) (+ (* u1 u1) -1) (+ (* u1 u1) u1) (+ (* u1 u1) 1) (* u1 (+ (* u1 u1) u1)) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) |
| 4.0ms | u1 | @ | 0 | ((* (/ (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (fabs (- 1 u1))) (cos (* u2 314159265359/50000000000))) (/ (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (fabs (- 1 u1))) (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (/ (+ (* u1 u1) -1) (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- u1 1)))) (/ u1 (/ (+ (* u1 u1) -1) (- u1 1))) (* (/ 1 (- 1 (* u1 u1))) (- u1 1)) (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (* (/ 1 (- 1 (* u1 u1))) (- u1 1))) (/ 1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* u1 u1)) (* (/ (sqrt (* u1 u1)) (sqrt u1)) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (/ (sqrt (* u1 u1)) (sqrt u1)) (* u1 u1) (* u2 314159265359/50000000000) (* (- u1 1) u1) (cos (* u2 314159265359/50000000000)) (+ (* u1 u1) -1) (+ (* u1 u1) u1) (+ (* u1 u1) 1) (* u1 (+ (* u1 u1) u1)) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) |
| 4.0ms | u2 | @ | 0 | ((* (/ (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (fabs (- 1 u1))) (cos (* u2 314159265359/50000000000))) (/ (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (fabs (- 1 u1))) (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (/ (+ (* u1 u1) -1) (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- u1 1)))) (/ u1 (/ (+ (* u1 u1) -1) (- u1 1))) (* (/ 1 (- 1 (* u1 u1))) (- u1 1)) (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (* (/ 1 (- 1 (* u1 u1))) (- u1 1))) (/ 1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* u1 u1)) (* (/ (sqrt (* u1 u1)) (sqrt u1)) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (/ (sqrt (* u1 u1)) (sqrt u1)) (* u1 u1) (* u2 314159265359/50000000000) (* (- u1 1) u1) (cos (* u2 314159265359/50000000000)) (+ (* u1 u1) -1) (+ (* u1 u1) u1) (+ (* u1 u1) 1) (* u1 (+ (* u1 u1) u1)) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) |
| 3.0ms | u2 | @ | inf | ((* (/ (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (fabs (- 1 u1))) (cos (* u2 314159265359/50000000000))) (/ (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (fabs (- 1 u1))) (sqrt (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))))) (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (/ (+ (* u1 u1) -1) (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- u1 1)))) (/ u1 (/ (+ (* u1 u1) -1) (- u1 1))) (* (/ 1 (- 1 (* u1 u1))) (- u1 1)) (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (* (/ 1 (- 1 (* u1 u1))) (- u1 1))) (/ 1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* u1 u1)) (* (/ (sqrt (* u1 u1)) (sqrt u1)) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) (/ (sqrt (* u1 u1)) (sqrt u1)) (* u1 u1) (* u2 314159265359/50000000000) (* (- u1 1) u1) (cos (* u2 314159265359/50000000000)) (+ (* u1 u1) -1) (+ (* u1 u1) u1) (+ (* u1 u1) 1) (* u1 (+ (* u1 u1) u1)) (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 616 | 3162 |
| 1 | 1925 | 2849 |
| 2 | 6135 | 2834 |
| 0 | 8589 | 2696 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (fabs (- 1 u1)))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (/ (cos (* 314159265359/50000000000 u2)) (fabs (- 1 u1))))) (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (fabs (- 1 u1))))) |
(+ (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (fabs (- 1 u1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (* (fabs (- 1 u1)) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (fabs (- 1 u1)))))))) |
(+ (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (fabs (- 1 u1)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (fabs (- 1 u1))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (* (fabs (- 1 u1)) (pow (sqrt -1) 2))))) (* 1/16 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (* (fabs (- 1 u1)) (pow (sqrt -1) 4)))))))))) |
(* (sqrt u1) (/ (pow (sqrt -1) 2) (fabs (- 1 u1)))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (/ 1 (fabs (- 1 u1))))) (* (sqrt u1) (/ (pow (sqrt -1) 2) (fabs (- 1 u1))))) |
(+ (* (sqrt u1) (/ (pow (sqrt -1) 2) (fabs (- 1 u1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (/ 1 (* (fabs (- 1 u1)) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (fabs (- 1 u1)))))))) |
(+ (* (sqrt u1) (/ (pow (sqrt -1) 2) (fabs (- 1 u1)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (fabs (- 1 u1))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (* (fabs (- 1 u1)) (pow (sqrt -1) 2))))) (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (* (fabs (- 1 u1)) (pow (sqrt -1) 4)))))))))) |
(* (sqrt u1) (pow (sqrt -1) 2)) |
(+ (* 1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (/ 1 u1)) (/ 1 (pow (sqrt -1) 4))))))))) |
u1 |
(* u1 (+ 1 (* -1 u1))) |
(* (sqrt u1) (cos (* 314159265359/50000000000 u2))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) |
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) |
(sqrt u1) |
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 3 (* 1/4 (/ 1 u1)))))))))) |
1 |
(+ 1 u1) |
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1))))) |
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1)))))))) |
(* u1 (+ 1 (* u1 (- u1 1)))) |
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))) |
-1 |
(- u1 1) |
(- (* u1 (+ 1 (* -1 u1))) 1) |
(- (* u1 (+ 1 (* u1 (- u1 1)))) 1) |
(+ 1 (* -1 u1)) |
(+ 1 (* u1 (- (* 2 u1) 1))) |
(+ 1 (* u1 (- (* u1 (+ 2 (* -2 (pow u1 3)))) 1))) |
(+ 1 (pow u1 2)) |
(+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))) |
(+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))) |
(pow u1 2) |
(* -1 u1) |
(* u1 (- u1 1)) |
(- (pow u1 2) 1) |
(* u1 (+ 1 u1)) |
(* (pow u1 2) (+ 1 u1)) |
(cos (* 314159265359/50000000000 u2)) |
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* 314159265359/50000000000 u2))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 1/2 (cos (* 314159265359/50000000000 u2)))))) |
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 3/8 (cos (* 314159265359/50000000000 u2)))))))) |
(/ (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (fabs (- 1 u1))) |
(* u1 (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (- 1 u1))))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (- 1 u1))))) |
(* u1 (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (- 1 u1))))) (+ (* -1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* (pow u1 2) (fabs (- 1 u1))))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (- 1 u1)))))) |
(* u1 (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (- 1 u1))))) (+ (* -1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* (pow u1 2) (fabs (- 1 u1))))) (+ (* -1/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* (pow u1 3) (fabs (- 1 u1))))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (- 1 u1))))))) |
(/ (* u1 (sqrt -1)) (fabs (- 1 u1))) |
(* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (fabs (- 1 u1))))) (/ (sqrt -1) (fabs (- 1 u1))))) |
(* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (fabs (- 1 u1))))) (+ (* -1/8 (/ (sqrt -1) (* (pow u1 2) (fabs (- 1 u1))))) (/ (sqrt -1) (fabs (- 1 u1)))))) |
(* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (fabs (- 1 u1))))) (+ (* -1/8 (/ (sqrt -1) (* (pow u1 2) (fabs (- 1 u1))))) (+ (* -1/16 (/ (sqrt -1) (* (pow u1 3) (fabs (- 1 u1))))) (/ (sqrt -1) (fabs (- 1 u1))))))) |
(* u1 (sqrt -1)) |
(* u1 (+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))) |
(* u1 (+ (sqrt -1) (+ (* -1/2 (/ (sqrt -1) u1)) (* -1/8 (/ (sqrt -1) (pow u1 2)))))) |
(* u1 (+ (sqrt -1) (+ (* -1/2 (/ (sqrt -1) u1)) (+ (* -1/8 (/ (sqrt -1) (pow u1 2))) (* -1/16 (/ (sqrt -1) (pow u1 3))))))) |
(* -1 (pow u1 2)) |
(* (pow u1 2) (- (/ 1 u1) 1)) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(- 1 (* 1/2 (/ 1 u1))) |
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1))) |
(- (+ 1 (+ (/ 3/8 (pow u1 2)) (* 11/16 (/ 1 (pow u1 3))))) (* 1/2 (/ 1 u1))) |
(* u1 (+ 1 (/ 1 u1))) |
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))) |
(- 1 (/ 1 u1)) |
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) |
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) |
(/ -1 u1) |
(/ (- (/ 1 u1) 1) u1) |
(/ (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))) u1) |
(/ (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))) u1) |
(* u1 (- (+ 1 (/ 1 u1)) (/ 2 (pow u1 3)))) |
(* u1 (- (+ 1 (+ (/ 1 u1) (* 2 (/ 1 (pow u1 4))))) (/ 2 (pow u1 3)))) |
(/ -1 (pow u1 2)) |
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) (pow u1 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) (pow u1 2)) |
(* (pow u1 2) (- 1 (/ 1 u1))) |
(* (pow u1 2) (- 1 (/ 1 (pow u1 2)))) |
(* (pow u1 2) (+ 1 (/ 1 u1))) |
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2)))) |
(pow u1 3) |
(* (pow u1 3) (+ 1 (/ 1 u1))) |
(* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) |
(* -1 (/ (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (fabs (+ 1 (* -1 u1))))) |
(* -1 (* u1 (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (+ 1 (* -1 u1)))))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1))))))) |
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (+ 1 (* -1 u1)))))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1)))))) u1)) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1))))))) |
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1))))) (* -1/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (* u1 (fabs (+ 1 (* -1 u1))))))) u1)) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1)))))) u1)) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (+ 1 (* -1 u1))))))) |
(* -1 (/ (* u1 (sqrt -1)) (fabs (+ 1 (* -1 u1))))) |
(* -1 (* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (fabs (+ 1 (* -1 u1)))))) (/ (sqrt -1) (fabs (+ 1 (* -1 u1))))))) |
(* -1 (* u1 (+ (* -1 (/ (+ (* 1/8 (/ (sqrt -1) (* u1 (fabs (+ 1 (* -1 u1)))))) (* 1/2 (/ (sqrt -1) (fabs (+ 1 (* -1 u1)))))) u1)) (/ (sqrt -1) (fabs (+ 1 (* -1 u1))))))) |
(* -1 (* u1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (sqrt -1) (fabs (+ 1 (* -1 u1))))) (* -1/16 (/ (sqrt -1) (* u1 (fabs (+ 1 (* -1 u1))))))) u1)) (* 1/2 (/ (sqrt -1) (fabs (+ 1 (* -1 u1)))))) u1)) (/ (sqrt -1) (fabs (+ 1 (* -1 u1))))))) |
(* -1 (* u1 (sqrt -1))) |
(* -1 (* u1 (+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1))))) |
(* -1 (* u1 (+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1))))) |
(* -1 (* u1 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1))))) |
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(pow (sqrt -1) 2) |
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* -1/2 (/ (- 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2)) |
(+ 1 (* -1 (/ (- 1/2 (* 3/8 (/ 1 u1))) u1))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 u1))) u1))) u1))) |
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))) |
(* -1 (/ (- 1 (/ 1 u1)) u1)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))) u1)) |
(* -1 (* u1 (- (* -1 (/ (- 1 (* 2 (/ 1 (pow u1 2)))) u1)) 1))) |
(* -1 (* u1 (- (* -1 (/ (- (+ 1 (/ 2 (pow u1 3))) (* 2 (/ 1 (pow u1 2)))) u1)) 1))) |
(/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)) |
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(* -1 (sqrt u1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1)))) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (* (pow u2 2) (sqrt -1)) (fabs (- 1 u1))))) (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1))))) |
(+ (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (* (pow u2 2) (sqrt -1)) (fabs (- 1 u1)))))))) |
(+ (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (* (pow u2 2) (sqrt -1)) (fabs (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1)))))))))) |
(sqrt (/ u1 (- 1 u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(* 314159265359/50000000000 u2) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(sqrt (/ 1 (- 1 u1))) |
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))) |
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))) |
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))) |
(* (sqrt (* u1 (- u1 1))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (- 1 u1)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1)))) |
| Outputs |
|---|
(* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (fabs (- 1 u1)))) |
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (/ (cos (* 314159265359/50000000000 u2)) (fabs (- 1 u1))))) (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (fabs (- 1 u1))))) |
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (fabs (- 1 u1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (* (fabs (- 1 u1)) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (fabs (- 1 u1)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u1 u1) (/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)) (fabs (- 1 u1)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (fabs (- 1 u1))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (* (fabs (- 1 u1)) (pow (sqrt -1) 2))))) (* 1/16 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (* (fabs (- 1 u1)) (pow (sqrt -1) 4)))))))))) |
(fma.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/8 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))))) |
(* (sqrt u1) (/ (pow (sqrt -1) 2) (fabs (- 1 u1)))) |
(/.f32 (neg.f32 (sqrt.f32 u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) |
(+ (* 1/2 (* (sqrt (pow u1 3)) (/ 1 (fabs (- 1 u1))))) (* (sqrt u1) (/ (pow (sqrt -1) 2) (fabs (- 1 u1))))) |
(fma.f32 (/.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (sqrt.f32 u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (* (sqrt u1) (/ (pow (sqrt -1) 2) (fabs (- 1 u1)))) (* (pow u1 2) (+ (* -1/8 (* (sqrt u1) (/ 1 (* (fabs (- 1 u1)) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (/ 1 (fabs (- 1 u1)))))))) |
(fma.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32) (*.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1/8 binary32))) (*.f32 u1 u1) (/.f32 (neg.f32 (sqrt.f32 u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) |
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(* (sqrt u1) (pow (sqrt -1) 2)) |
(neg.f32 (sqrt.f32 u1)) |
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(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (neg.f32 (sqrt.f32 u1))) |
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(sqrt u1) |
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#s(literal 1 binary32) |
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(fma.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)) |
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(* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (fabs (- 1 u1))))) (+ (* -1/8 (/ (sqrt -1) (* (pow u1 2) (fabs (- 1 u1))))) (/ (sqrt -1) (fabs (- 1 u1)))))) |
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(* u1 (+ (* -1/2 (/ (sqrt -1) (* u1 (fabs (- 1 u1))))) (+ (* -1/8 (/ (sqrt -1) (* (pow u1 2) (fabs (- 1 u1))))) (+ (* -1/16 (/ (sqrt -1) (* (pow u1 3) (fabs (- 1 u1))))) (/ (sqrt -1) (fabs (- 1 u1))))))) |
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(* u1 (sqrt -1)) |
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(* u1 (+ (sqrt -1) (+ (* -1/2 (/ (sqrt -1) u1)) (+ (* -1/8 (/ (sqrt -1) (pow u1 2))) (* -1/16 (/ (sqrt -1) (pow u1 3))))))) |
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(- 1 (* 1/2 (/ 1 u1))) |
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) |
(-.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 5/16 binary32) u1) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 u1))) u1)) |
(* -1 (sqrt u1)) |
(neg.f32 (sqrt.f32 u1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) |
(fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))) (pow.f32 u1 #s(literal 3 binary32))))) |
(* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1)))) |
(*.f32 (sqrt.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (* (pow u2 2) (sqrt -1)) (fabs (- 1 u1))))) (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1))))) |
(fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (*.f32 (*.f32 u2 u2) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(+ (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (* (pow u2 2) (sqrt -1)) (fabs (- 1 u1)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(+ (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (* (pow u2 2) (sqrt -1)) (fabs (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (* u1 (- u1 1))) (/ (sqrt -1) (fabs (- 1 u1)))))))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (*.f32 u2 u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))))) |
(sqrt (/ u1 (- 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) |
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) |
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(* 314159265359/50000000000 u2) |
(*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) |
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) |
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) |
(sqrt (/ 1 (- 1 u1))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) |
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))) |
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))) |
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) |
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))) |
(fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) |
(* (sqrt (* u1 (- u1 1))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (fabs (- 1 u1)))) |
(*.f32 (sqrt.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 351 |
| 0 | 96 | 329 |
| 1 | 355 | 275 |
| 2 | 2929 | 271 |
| 0 | 8337 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) |
(sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) |
(neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
#s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32)) |
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) |
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) |
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))) |
(-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))))) |
(sqrt.f32 (*.f32 u1 u1)) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) |
(*.f32 u1 u1) |
(*.f32 u2 #s(literal 314159265359/50000000000 binary32)) |
(*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) |
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) |
(fma.f32 u1 u1 #s(literal -1 binary32)) |
(fma.f32 u1 u1 u1) |
(fma.f32 u1 u1 #s(literal 1 binary32)) |
(*.f32 u1 (fma.f32 u1 u1 u1)) |
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
| Outputs |
|---|
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))) (/.f32 #s(literal 1 binary32) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (*.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(/.f32 (*.f32 (neg.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) |
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(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) |
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) |
(/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) |
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)))) |
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) |
(-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) |
(-.f32 (*.f32 u1 u1) #s(literal -1 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u1) u1)) |
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal 1 binary32)) |
(fma.f32 u1 u1 #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (neg.f32 u1) u1))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 u1) u1) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) |
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)) |
(*.f32 (fma.f32 u1 u1 u1) u1) |
(*.f32 u1 (fma.f32 u1 u1 u1)) |
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) |
(/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32))) u1) (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (pow.f32 u1 #s(literal 3 binary32)))) |
(/.f32 (*.f32 u1 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) |
(/.f32 (*.f32 u1 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32)))) (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (pow.f32 u1 #s(literal 3 binary32)))) |
(/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) (*.f32 u1 u1))) |
(/.f32 (+.f32 (pow.f32 u1 #s(literal 9 binary32)) (pow.f32 u1 #s(literal 6 binary32))) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (pow.f32 u1 #s(literal 5 binary32))))) |
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (*.f32 u1 u1)) |
(fma.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)) (*.f32 u1 u1)) |
(fma.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (*.f32 u1 u1)) |
(fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32) (*.f32 u1 u1)) |
(fma.f32 (*.f32 u1 u1) u1 (*.f32 u1 u1)) |
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) |
(fma.f32 (neg.f32 u1) (neg.f32 u1) (pow.f32 u1 #s(literal 3 binary32))) |
(fma.f32 u1 (*.f32 u1 u1) (*.f32 u1 u1)) |
(fma.f32 u1 u1 (pow.f32 u1 #s(literal 3 binary32))) |
(fma.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)) (*.f32 u1 u1)) |
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) (pow.f32 u1 #s(literal 3 binary32))) |
(+.f32 (pow.f32 u1 #s(literal 3 binary32)) (*.f32 u1 u1)) |
(+.f32 (*.f32 u1 u1) (pow.f32 u1 #s(literal 3 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (neg.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) |
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(neg.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
Compiled 33 783 to 4 621 computations (86.3% saved)
60 alts after pruning (53 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 867 | 24 | 891 |
| Fresh | 14 | 29 | 43 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 884 | 60 | 944 |
| Status | Accuracy | Program |
|---|---|---|
| 98.5% | (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) | |
| 98.3% | (/.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))) | |
| 98.5% | (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) | |
| 98.6% | (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) | |
| 98.4% | (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))))) | |
| 98.2% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1))) | |
| 73.4% | (*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.0% | (*.f32 (/.f32 (/.f32 (*.f32 u1 u1) u1) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 98.0% | (*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 79.1% | (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) | |
| 75.8% | (*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) | |
| 98.8% | (*.f32 (/.f32 (sqrt.f32 #s(approx (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) | |
| 94.2% | (*.f32 (/.f32 (exp.f32 (log.f32 u1)) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 98.0% | (*.f32 (/.f32 u1 (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 98.3% | (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))) (/.f32 #s(literal 1 binary32) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 67.7% | (*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 73.6% | (*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(approx (* (- u1 1) (- 1 u1)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 98.5% | (*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (+.f32 u1 (sqrt.f32 u1)) (-.f32 u1 (sqrt.f32 u1)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ✓ | 98.9% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 79.7% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) | |
| 79.7% | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) | |
| 98.7% | (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 46.7% | (*.f32 (sqrt.f32 #s(approx (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| ✓ | 98.1% | (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
| 79.1% | (*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 75.9% | (*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) | |
| 79.4% | (*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) | |
| 76.0% | (*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) | |
| 63.4% | (*.f32 (sqrt.f32 u1) #s(approx (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) | |
| 96.2% | (*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) | |
| 95.9% | (*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) | |
| 98.2% | (*.f32 u1 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) | |
| 98.0% | (*.f32 u1 (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) | |
| 79.7% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) | |
| 73.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) | |
| 63.5% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) | |
| 63.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))) | |
| 63.4% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) | |
| 62.4% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (-.f32 #s(literal -1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))))) | |
| ✓ | 63.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) |
| 73.5% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))) | |
| 72.7% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) | |
| 72.8% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))))) | |
| 72.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (+.f32 u1 #s(literal 1 binary32))))))) | |
| 72.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))) | |
| 72.8% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) | |
| ✓ | 72.7% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))))) |
| 73.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (/ 1 (- -1 u1)) (-.f32 u1 #s(literal 1 binary32))))))) | |
| 65.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (* (/ 1 (- 1 (* u1 u1))) (- u1 1)) #s(literal -1 binary32)))))) | |
| 72.7% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (+.f32 (*.f32 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) | |
| 72.8% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) | |
| 79.6% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) | |
| 63.4% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))) | |
| ✓ | 79.7% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
| 63.4% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))) | |
| 63.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) | |
| 18.8% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) #s(literal 1 binary32)))) | |
| 4.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) | |
| ✓ | 4.3% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
| ✓ | 65.0% | #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
Compiled 3 843 to 1 613 computations (58% saved)
| Inputs |
|---|
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))) |
(*.f32 (sqrt.f32 u1) #s(approx (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (-.f32 #s(literal -1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (* (/ 1 (- 1 (* u1 u1))) (- u1 1)) #s(literal -1 binary32)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (/ 1 (- -1 u1)) (-.f32 u1 #s(literal 1 binary32))))))) |
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1))) (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (/ 1 (- -1 u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal -1 binary32))))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (+.f32 (*.f32 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (+.f32 u1 #s(literal 1 binary32))))))) |
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 u1 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) |
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(approx (* (- u1 1) (- 1 u1)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) |
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (/.f32 (sqrt.f32 #s(approx (neg (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (fabs.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) |
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1))) |
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))) (/.f32 #s(literal 1 binary32) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (neg.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))))) |
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) u1) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 u1 (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))) |
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (/.f32 (/.f32 (*.f32 u1 u1) u1) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (+.f32 u1 (sqrt.f32 u1)) (-.f32 u1 (sqrt.f32 u1)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) #s(approx (* (- u1 1) (- 1 u1)) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 u1 (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (/.f32 #s(approx (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (pow.f32 (pow.f32 u1 #s(literal -1/4 binary32)) #s(literal -2 binary32)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1))) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (/.f32 (exp.f32 (log.f32 u1)) (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
8 calls:
| 71.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 35.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 34.0ms | u2 |
| 31.0ms | cosTheta_i |
| 29.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | cosTheta_i |
| 98.9% | 1 | u1 |
| 98.9% | 1 | u2 |
| 98.9% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 98.9% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 98.9% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 98.9% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 98.9% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 32 to 44 computations (-37.5% saved)
| Inputs |
|---|
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))) |
(*.f32 (sqrt.f32 u1) #s(approx (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (-.f32 #s(literal -1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (* (/ 1 (- 1 (* u1 u1))) (- u1 1)) #s(literal -1 binary32)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (/ 1 (- -1 u1)) (-.f32 u1 #s(literal 1 binary32))))))) |
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1))) (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (/ 1 (- -1 u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal -1 binary32))))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (+.f32 (*.f32 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (+.f32 u1 #s(literal 1 binary32))))))) |
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
(*.f32 (sqrt.f32 #s(approx (/ (- (* 0 (- 1 u1)) (* (- u1 1) (neg u1))) (* (- u1 1) (- 1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| Outputs |
|---|
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
8 calls:
| 23.0ms | cosTheta_i |
| 19.0ms | u2 |
| 17.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 15.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 14.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.7% | 1 | cosTheta_i |
| 87.1% | 2 | u1 |
| 89.4% | 2 | u2 |
| 88.6% | 2 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 87.1% | 2 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 87.1% | 2 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 89.4% | 2 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 89.4% | 2 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 32 to 44 computations (-37.5% saved)
| Inputs |
|---|
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) u1)))) |
(*.f32 (sqrt.f32 u1) #s(approx (/ 1 (/ (sqrt (- u1 -1)) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 (-.f32 #s(literal -1 binary32) u1)) (-.f32 u1 #s(literal 1 binary32)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* u2 314159265359/50000000000)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (* (/ 1 (- 1 (* u1 u1))) (- u1 1)) #s(literal -1 binary32)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (/ 1 (- -1 u1)) (-.f32 u1 #s(literal 1 binary32))))))) |
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1))) (fma.f32 u1 u1 #s(literal 1 binary32)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (/ 1 (- -1 u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal -1 binary32))))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 u1)) #s(approx (/ (cos (* u2 314159265359/50000000000)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (+.f32 (*.f32 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (+.f32 u1 #s(literal 1 binary32))))))) |
| Outputs |
|---|
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
8 calls:
| 81.0ms | u1 |
| 37.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 16.0ms | u2 |
| 15.0ms | cosTheta_i |
| 15.0ms | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.7% | 1 | cosTheta_i |
| 79.7% | 1 | u1 |
| 79.7% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 79.7% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 79.7% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 79.7% | 1 | u2 |
| 79.7% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 79.7% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
Compiled 32 to 44 computations (-37.5% saved)
| Inputs |
|---|
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) #s(literal 1 binary32)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ (* (sqrt u1) (sqrt u1)) 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) |
| Outputs |
|---|
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
8 calls:
| 10.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 3.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 3.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 3.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 3.0ms | u2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.0% | 1 | u1 |
| 65.0% | 1 | u2 |
| 65.0% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 65.0% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 65.0% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 65.0% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 65.0% | 1 | cosTheta_i |
| 65.0% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
Compiled 32 to 44 computations (-37.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
| Outputs |
|---|
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
8 calls:
| 5.0ms | cosTheta_i |
| 2.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
| 1.0ms | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 1.0ms | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 1.0ms | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.3% | 1 | u2 |
| 4.3% | 1 | (*.f32 #s(literal 314159265359/50000000000 binary32) u2) |
| 4.3% | 1 | cosTheta_i |
| 4.3% | 1 | (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) |
| 4.3% | 1 | u1 |
| 4.3% | 1 | (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) |
| 4.3% | 1 | (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) |
| 4.3% | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
Compiled 32 to 44 computations (-37.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.005487245507538319 | 0.0059773740358650684 |
Compiled 14 to 17 computations (-21.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 124 |
| 1 | 45 | 124 |
| 2 | 48 | 124 |
| 3 | 50 | 124 |
| 4 | 51 | 124 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 1476395/268435456 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) |
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 1476395/268435456 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) |
(if (<=.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 1476395/268435456 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) |
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- (/ (* u1 (+ (* u1 u1) u1)) (+ (* u1 u1) 1)) (/ 1 (- -1 u1))))) #s(literal -1 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 793 |
| 1 | 554 | 704 |
| 2 | 1625 | 636 |
| 3 | 4918 | 584 |
| 0 | 8208 | 552 |
| 0 | 473 | 2470 |
| 1 | 1405 | 2219 |
| 2 | 4307 | 1976 |
| 0 | 8090 | 1851 |
| 0 | 607 | 2927 |
| 1 | 1811 | 2525 |
| 2 | 5486 | 2494 |
| 0 | 8318 | 2348 |
| 0 | 42 | 200 |
| 0 | 71 | 185 |
| 1 | 234 | 171 |
| 2 | 1577 | 142 |
| 0 | 10185 | 138 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 131 to 67 computations (48.9% saved)
(abs cosTheta_i)
(abs u2)
Compiled 358 to 192 computations (46.4% saved)
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