
Time bar (total: 7.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 21.9% | 21.9% | 78% | 0.1% | 0% | 0% | 0% | 7 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 8 |
| 35.2% | 35.1% | 64.8% | 0.1% | 0% | 0% | 0% | 9 |
| 36.3% | 36.3% | 63.6% | 0.1% | 0% | 0% | 0% | 10 |
| 42.4% | 42.3% | 57.6% | 0.1% | 0% | 0% | 0% | 11 |
| 43.1% | 43% | 56.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 16 to 12 computations (25% saved)
| 700.0ms | 8 256× | 0 | valid |
ival-mult: 201.0ms (38.8% of total)ival-tanu: 172.0ms (33.2% of total)ival-div: 55.0ms (10.6% of total)ival-sub: 43.0ms (8.3% of total)ival-pi: 34.0ms (6.6% of total)ival-true: 6.0ms (1.2% of total)exact: 5.0ms (1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 133 | 0 | - | 0 | - | (tan.f64 (*.f64 (PI.f64) l)) |
| 49 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
| 2 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| 0 | 0 | - | 0 | - | (*.f64 (PI.f64) l) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 0 | 0 | - | 0 | - | (*.f64 F F) |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | F |
| 0 | 0 | - | 0 | - | (PI.f64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
tan.f64 | (tan.f64 (*.f64 (PI.f64) l)) | sensitivity | 133 | 0 |
*.f64 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) | n*o | 15 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 74 | 0 |
| - | 74 | 108 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 74 | 0 | 0 |
| - | 74 | 0 | 108 |
| number | freq |
|---|---|
| 0 | 108 |
| 1 | 148 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 62.0ms | 512× | 0 | valid |
Compiled 147 to 44 computations (70.1% saved)
ival-mult: 20.0ms (44.1% of total)ival-tanu: 15.0ms (33.1% of total)ival-pi: 3.0ms (6.6% of total)ival-div: 3.0ms (6.6% of total)ival-sub: 2.0ms (4.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 74 |
| 1 | 78 | 62 |
| 2 | 254 | 60 |
| 3 | 669 | 60 |
| 4 | 1158 | 60 |
| 5 | 1558 | 60 |
| 6 | 1819 | 60 |
| 7 | 1875 | 60 |
| 8 | 1885 | 60 |
| 0 | 10 | 14 |
| 0 | 17 | 14 |
| 1 | 30 | 12 |
| 2 | 64 | 12 |
| 3 | 141 | 12 |
| 4 | 219 | 12 |
| 5 | 332 | 12 |
| 6 | 402 | 12 |
| 7 | 488 | 12 |
| 8 | 631 | 12 |
| 9 | 699 | 12 |
| 10 | 767 | 12 |
| 11 | 803 | 12 |
| 0 | 803 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))) |
(abs F)
(negabs l)
Compiled 14 to 10 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.6% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) l) | |
| cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 0 | 17 | 43 |
| 1 | 30 | 39 |
| 2 | 64 | 39 |
| 3 | 141 | 39 |
| 4 | 219 | 39 |
| 5 | 332 | 39 |
| 6 | 402 | 39 |
| 7 | 488 | 39 |
| 8 | 631 | 39 |
| 9 | 699 | 39 |
| 10 | 767 | 39 |
| 11 | 803 | 39 |
| 0 | 803 | 39 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (PI.f64) l) |
(PI.f64) |
l |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
#s(literal 1 binary64) |
(*.f64 F F) |
F |
(tan.f64 (*.f64 (PI.f64) l)) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))) |
(*.f64 (PI.f64) l) |
(*.f64 l (PI.f64)) |
(PI.f64) |
l |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
#s(literal 1 binary64) |
(*.f64 F F) |
F |
(tan.f64 (*.f64 (PI.f64) l)) |
(tan.f64 (*.f64 l (PI.f64))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2109375 | (*.f64 (PI.f64) l) | |
| accuracy | 0.391307332139339 | (/.f64 #s(literal 1 binary64) (*.f64 F F)) | |
| accuracy | 11.917888096631737 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) | |
| accuracy | 31.286973898132977 | (tan.f64 (*.f64 (PI.f64) l)) |
| 25.0ms | 256× | 0 | valid |
Compiled 88 to 22 computations (75% saved)
ival-tanu: 7.0ms (40.3% of total)ival-mult: 4.0ms (23% of total)ival-sub: 3.0ms (17.3% of total)ival-div: 2.0ms (11.5% of total)ival-pi: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow F 2)) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow F 2)) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow F 2)) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow F 2)) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ()) |
#s(alt (* l (PI)) (taylor inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ()) |
#s(alt (* l (PI)) (taylor -inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor -inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor -inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor -inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ()) |
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#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ()) |
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | l | @ | 0 | ((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F))) |
| 3.0ms | F | @ | 0 | ((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F))) |
| 2.0ms | l | @ | -inf | ((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F))) |
| 1.0ms | l | @ | inf | ((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F))) |
| 1.0ms | F | @ | inf | ((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1427 |
| 1 | 432 | 1349 |
| 2 | 1504 | 1209 |
| 3 | 7061 | 1170 |
| 0 | 8390 | 1145 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
| Outputs |
|---|
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (/.f64 (PI.f64) (*.f64 F F)) l) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(fma.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 F F)) (*.f64 l l) (*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) F) F) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 l l) (/.f64 (PI.f64) (*.f64 F F))) l) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) F) F) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) F) #s(literal -1/840 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) F) F) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 (PI.f64) (PI.f64))))))) (*.f64 l l) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 F F))) (*.f64 l l))) (*.f64 l l) (/.f64 (PI.f64) (*.f64 F F))) l) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) |
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 #s(literal -1/3 binary64) F) (*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 F F))) (*.f64 l l))) (*.f64 l l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) l) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 #s(literal -1/3 binary64) F) (*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) F) #s(literal -1/840 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) F) F) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 l l) (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 F F)))) (*.f64 l l))) (*.f64 l l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 l l) (PI.f64)) l) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 l l))) (*.f64 l l) (PI.f64)) l) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (fma.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (*.f64 l l) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (*.f64 l l))) (*.f64 (PI.f64) l)) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l)) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l)) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 37 |
| 0 | 17 | 37 |
| 1 | 70 | 31 |
| 2 | 470 | 31 |
| 3 | 6677 | 31 |
| 0 | 8201 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (PI.f64) l) |
(PI.f64) |
(tan.f64 (*.f64 (PI.f64) l)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| Outputs |
|---|
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Compiled 11 925 to 1 272 computations (89.3% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 458 | 18 | 476 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 458 | 19 | 477 |
| Status | Accuracy | Program |
|---|---|---|
| 79.1% | (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) | |
| 63.2% | (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 l (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64)))))) | |
| 74.0% | (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) | |
| 22.7% | (/.f64 (fma.f64 (neg.f64 (pow.f64 F #s(literal -6 binary64))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 3 binary64)) (pow.f64 (*.f64 l (PI.f64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 2 binary64)) (pow.f64 F #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 l (PI.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (*.f64 l (PI.f64)))))) | |
| 73.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))))) | |
| 73.3% | (-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) | |
| ▶ | 79.1% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) |
| 79.1% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))) | |
| 74.0% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))) | |
| ▶ | 79.1% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) |
| 73.7% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l)))) | |
| 73.4% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) | |
| ✓ | 73.6% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 66.3% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)))) | |
| ▶ | 72.8% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
| 66.4% | (-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) | |
| ▶ | 53.5% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) |
| 66.3% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) | |
| ▶ | 74.9% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
Compiled 642 to 436 computations (32.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) l) | |
| cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) | |
| cost-diff | 6656 | (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) l) | |
| cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) | |
| cost-diff | 384 | (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) | |
| cost-diff | 0 | (/.f64 (PI.f64) F) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) | |
| cost-diff | 0 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) | |
| cost-diff | 704 | (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) l) | |
| cost-diff | 0 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) | |
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) l) | |
| cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 277 |
| 0 | 68 | 267 |
| 1 | 123 | 263 |
| 2 | 273 | 263 |
| 3 | 693 | 263 |
| 4 | 1679 | 263 |
| 5 | 2902 | 260 |
| 6 | 5291 | 257 |
| 0 | 8014 | 257 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) |
(*.f64 (PI.f64) l) |
(PI.f64) |
l |
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F) |
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F) |
(tan.f64 (*.f64 l (PI.f64))) |
(*.f64 l (PI.f64)) |
F |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
(*.f64 (PI.f64) l) |
(PI.f64) |
l |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) |
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) |
(fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) |
(/.f64 (PI.f64) F) |
(PI.f64) |
F |
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) F) |
(*.f64 (PI.f64) (PI.f64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 l l)) |
#s(literal -1/3 binary64) |
(*.f64 l l) |
l |
(/.f64 #s(literal -1 binary64) F) |
#s(literal -1 binary64) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) |
(*.f64 (PI.f64) l) |
(PI.f64) |
l |
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) |
#s(literal 1 binary64) |
(/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) |
F |
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F) |
(tan.f64 (*.f64 l (PI.f64))) |
(*.f64 l (PI.f64)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (PI.f64) l) |
(PI.f64) |
l |
(*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) |
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) |
(*.f64 (log.f64 F) #s(literal -2 binary64)) |
(log.f64 F) |
F |
#s(literal -2 binary64) |
(tan.f64 (*.f64 (PI.f64) l)) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) |
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) |
(*.f64 (PI.f64) l) |
(*.f64 l (PI.f64)) |
(PI.f64) |
l |
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F) |
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) |
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F) |
(tan.f64 (*.f64 l (PI.f64))) |
(*.f64 l (PI.f64)) |
F |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) |
(*.f64 (PI.f64) l) |
(*.f64 l (PI.f64)) |
(PI.f64) |
l |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (/.f64 l F) F) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) (*.f64 l (PI.f64)) #s(literal -1 binary64)) l) (PI.f64))) |
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) |
(*.f64 (fma.f64 (/.f64 (/.f64 l F) F) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) (*.f64 l (PI.f64)) #s(literal -1 binary64)) l) (PI.f64)) |
(fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) (*.f64 l (PI.f64)) #s(literal -1 binary64)) F) (/.f64 (PI.f64) F) (PI.f64)) |
(/.f64 (PI.f64) F) |
(PI.f64) |
F |
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) |
(fma.f64 (*.f64 (/.f64 l F) #s(literal -1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal -1 binary64) F)) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) F) |
(*.f64 (/.f64 (PI.f64) F) (PI.f64)) |
(*.f64 (PI.f64) (PI.f64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 l l)) |
(*.f64 (*.f64 l l) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 l l) |
l |
(/.f64 #s(literal -1 binary64) F) |
#s(literal -1 binary64) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) |
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) |
(*.f64 (PI.f64) l) |
(*.f64 l (PI.f64)) |
(PI.f64) |
l |
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) |
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) |
#s(literal 1 binary64) |
(/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) |
(/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64)))) |
F |
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F) |
(tan.f64 (*.f64 l (PI.f64))) |
(*.f64 l (PI.f64)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) |
(*.f64 (PI.f64) l) |
(*.f64 l (PI.f64)) |
(PI.f64) |
l |
(*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) |
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) |
(pow.f64 F #s(literal -2 binary64)) |
(*.f64 (log.f64 F) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (log.f64 F)) |
(log.f64 F) |
F |
#s(literal -2 binary64) |
(tan.f64 (*.f64 (PI.f64) l)) |
(tan.f64 (*.f64 l (PI.f64))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.3977547653450177 | (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) | |
| accuracy | 1.4987892397262694 | (tan.f64 (*.f64 (PI.f64) l)) | |
| accuracy | 3.5507473816240527 | (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) | |
| accuracy | 29.78833727332308 | (PI.f64) | |
| accuracy | 0.125 | (*.f64 (PI.f64) l) | |
| accuracy | 0.125 | (*.f64 l (PI.f64)) | |
| accuracy | 1.4987892397262694 | (tan.f64 (*.f64 l (PI.f64))) | |
| accuracy | 29.78833727332308 | (PI.f64) | |
| accuracy | 0.2421875 | (/.f64 (*.f64 (PI.f64) (PI.f64)) F) | |
| accuracy | 1.193798621267576 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) | |
| accuracy | 3.5859036316240527 | (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) | |
| accuracy | 29.78833727332308 | (PI.f64) | |
| accuracy | 0.125 | (*.f64 (PI.f64) l) | |
| accuracy | 15.881446307129641 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) | |
| accuracy | 29.78833727332308 | (PI.f64) | |
| accuracy | 0.125 | (*.f64 (PI.f64) l) | |
| accuracy | 0.125 | (*.f64 l (PI.f64)) | |
| accuracy | 1.4987892397262694 | (tan.f64 (*.f64 l (PI.f64))) | |
| accuracy | 29.78833727332308 | (PI.f64) |
| 94.0ms | 123× | 0 | invalid |
| 49.0ms | 133× | 0 | valid |
Compiled 507 to 71 computations (86% saved)
ival-div: 22.0ms (31.6% of total)ival-mult: 18.0ms (25.9% of total)ival-tanu: 6.0ms (8.6% of total)ival-pi: 5.0ms (7.2% of total)ival-sub: 5.0ms (7.2% of total)ival-log: 4.0ms (5.7% of total)const: 4.0ms (5.7% of total)ival-exp: 3.0ms (4.3% of total)ival-add: 2.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #<representation binary64>) () ()) |
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) (patch (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) (patch (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) #<representation binary64>) () ()) |
#s(alt (/.f64 (PI.f64) F) (patch (/.f64 (PI.f64) F) #<representation binary64>) () ()) |
#s(alt (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (patch (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (patch (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ()) |
#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (patch (/.f64 (*.f64 (PI.f64) (PI.f64)) F) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | l | @ | 0 | ((- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* l (PI))) (* l (PI)) (/ (* (PI) (PI)) F) (* (exp (* (log F) -2)) (tan (* (PI) l))) (tan (* (PI) l))) |
| 6.0ms | F | @ | 0 | ((- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* l (PI))) (* l (PI)) (/ (* (PI) (PI)) F) (* (exp (* (log F) -2)) (tan (* (PI) l))) (tan (* (PI) l))) |
| 4.0ms | F | @ | -inf | ((- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* l (PI))) (* l (PI)) (/ (* (PI) (PI)) F) (* (exp (* (log F) -2)) (tan (* (PI) l))) (tan (* (PI) l))) |
| 4.0ms | F | @ | inf | ((- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* l (PI))) (* l (PI)) (/ (* (PI) (PI)) F) (* (exp (* (log F) -2)) (tan (* (PI) l))) (tan (* (PI) l))) |
| 3.0ms | l | @ | inf | ((- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* l (PI))) (* l (PI)) (/ (* (PI) (PI)) F) (* (exp (* (log F) -2)) (tan (* (PI) l))) (tan (* (PI) l))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 289 | 6190 |
| 1 | 862 | 5840 |
| 2 | 3275 | 5592 |
| 0 | 8171 | 5431 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (pow F 2)) |
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (PI))) (pow F 2)) |
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (PI))) (pow F 2)) |
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (PI))) (pow F 2)) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
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(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (* l (PI)) (pow F 2)) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (PI)) |
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) |
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) |
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
| Outputs |
|---|
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (pow F 2)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (/.f64 (/.f64 (PI.f64) F) F)) |
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (PI))) (pow F 2)) |
(*.f64 (/.f64 (PI.f64) F) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) |
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (PI))) (pow F 2)) |
(*.f64 (/.f64 (PI.f64) F) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) |
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (PI))) (pow F 2)) |
(*.f64 (/.f64 (PI.f64) F) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l)))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l)))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l)))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l)))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))) |
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(PI) |
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(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) l)) (*.f64 l l)) |
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) l)) (*.f64 l l)) |
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) l)) (*.f64 l l)) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 l #s(literal 3 binary64))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F)) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 (neg.f64 l) l)))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 (neg.f64 l) l)))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 (neg.f64 l) l)))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l)))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l)))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l)))) |
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) |
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l)))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 186 |
| 0 | 68 | 178 |
| 1 | 252 | 171 |
| 2 | 2024 | 171 |
| 0 | 8324 | 171 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) |
(*.f64 (PI.f64) l) |
(PI.f64) |
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) |
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) |
(/.f64 (PI.f64) F) |
(/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) |
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
(tan.f64 (*.f64 l (PI.f64))) |
(*.f64 l (PI.f64)) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) F) |
(*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) |
(tan.f64 (*.f64 (PI.f64) l)) |
| Outputs |
|---|
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Compiled 38 733 to 4 162 computations (89.3% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 634 | 13 | 1 647 |
| Fresh | 7 | 6 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 644 | 22 | 1 666 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.1% | (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
| 74.0% | (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) | |
| 73.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) | |
| 71.8% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) F)) | |
| 79.1% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))))) | |
| ▶ | 74.0% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
| ▶ | 71.8% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)) |
| 60.0% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64)))))))) | |
| 71.7% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx (/ F (/ (tan (* l (PI))) F)) (*.f64 (/.f64 F (PI.f64)) (/.f64 F l))))) | |
| 72.7% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 F)) (tan.f64 (*.f64 (PI.f64) l)))) | |
| 73.4% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) | |
| ✓ | 73.6% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 66.3% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)))) | |
| ✓ | 72.8% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
| 66.4% | (-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) | |
| 66.3% | #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)) | |
| 40.8% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) #s(literal 2 binary64)) #s(literal -1/3 binary64)) F) (/.f64 #s(literal -1 binary64) F)) (/.f64 (PI.f64) F)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) l) (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) #s(literal 2 binary64)) #s(literal -1/3 binary64)) F) (/.f64 #s(literal -1 binary64) F)) (/.f64 (PI.f64) F) (neg.f64 (PI.f64))))) | |
| ▶ | 66.3% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) |
| 74.4% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) | |
| ✓ | 74.9% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
| 19.5% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) | |
| ▶ | 35.8% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) |
Compiled 632 to 456 computations (27.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 (*.f64 l (PI.f64))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) l) | |
| cost-diff | 384 | (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) | |
| cost-diff | 0 | (*.f64 (/.f64 (PI.f64) F) l) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))) | |
| cost-diff | 0 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) | |
| cost-diff | 320 | (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) l) | |
| cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) | |
| cost-diff | 0 | (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) | |
| cost-diff | 0 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) | |
| cost-diff | 0 | (*.f64 l (PI.f64)) | |
| cost-diff | 0 | (tan.f64 (*.f64 l (PI.f64))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) | |
| cost-diff | 576 | (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 392 |
| 0 | 91 | 392 |
| 1 | 173 | 388 |
| 2 | 420 | 387 |
| 3 | 1142 | 381 |
| 4 | 2096 | 381 |
| 5 | 4296 | 378 |
| 6 | 7236 | 378 |
| 0 | 8098 | 373 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F) |
(tan.f64 (*.f64 l (PI.f64))) |
(*.f64 l (PI.f64)) |
l |
(PI.f64) |
F |
(/.f64 #s(literal -1 binary64) F) |
#s(literal -1 binary64) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) |
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) |
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) |
(PI.f64) |
(/.f64 (PI.f64) (*.f64 F F)) |
(*.f64 F F) |
F |
l |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)) |
(*.f64 (PI.f64) l) |
(PI.f64) |
l |
(/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F) |
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) |
(*.f64 (/.f64 (PI.f64) F) l) |
(/.f64 (PI.f64) F) |
F |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) |
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))) |
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) |
(*.f64 (/.f64 (PI.f64) F) l) |
(/.f64 (PI.f64) F) |
(PI.f64) |
F |
l |
(/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F) |
(fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) |
(*.f64 (*.f64 l l) #s(literal -1/3 binary64)) |
(*.f64 l l) |
#s(literal -1/3 binary64) |
#s(literal -1 binary64) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(*.f64 (PI.f64) l) |
(PI.f64) |
l |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(sin.f64 (*.f64 l (PI.f64))) |
(*.f64 l (PI.f64)) |
(*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))) |
(*.f64 F F) |
F |
(cos.f64 (*.f64 l (PI.f64))) |
| Outputs |
|---|
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) |
(tan.f64 (*.f64 l (PI.f64))) |
(tan.f64 (*.f64 (PI.f64) l)) |
(*.f64 l (PI.f64)) |
(*.f64 (PI.f64) l) |
l |
(PI.f64) |
F |
(/.f64 #s(literal -1 binary64) F) |
#s(literal -1 binary64) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) |
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) |
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) |
(PI.f64) |
(/.f64 (PI.f64) (*.f64 F F)) |
(*.f64 F F) |
F |
l |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)) |
(fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F))) |
(*.f64 (PI.f64) l) |
(PI.f64) |
l |
(/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F) |
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) |
(*.f64 (/.f64 (PI.f64) F) l) |
(/.f64 (PI.f64) F) |
F |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (/.f64 (/.f64 l F) F) l) (PI.f64)))) |
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))) |
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (/.f64 (/.f64 l F) F) l) (PI.f64))) |
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (/.f64 (/.f64 l F) F) l) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) F) l) |
(/.f64 (PI.f64) F) |
(PI.f64) |
F |
l |
(/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F) |
(/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F) |
(fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) |
(fma.f64 F F (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) |
(*.f64 (*.f64 l l) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 l l)) |
(*.f64 l l) |
#s(literal -1/3 binary64) |
#s(literal -1 binary64) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(*.f64 (PI.f64) l) |
(PI.f64) |
l |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(sin.f64 (*.f64 l (PI.f64))) |
(sin.f64 (*.f64 (PI.f64) l)) |
(*.f64 l (PI.f64)) |
(*.f64 (PI.f64) l) |
(*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))) |
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
(*.f64 F F) |
F |
(cos.f64 (*.f64 l (PI.f64))) |
(cos.f64 (*.f64 (PI.f64) l)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2109375 | (*.f64 l (PI.f64)) | |
| accuracy | 11.48185783970039 | (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) | |
| accuracy | 29.149029482686768 | (cos.f64 (*.f64 l (PI.f64))) | |
| accuracy | 31.24712109419414 | (sin.f64 (*.f64 l (PI.f64))) | |
| accuracy | 2.003884230844482 | (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) | |
| accuracy | 7.21121370334 | (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) | |
| accuracy | 16.809545085670724 | (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F) | |
| accuracy | 24.10889463398752 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 (PI.f64) F) l) | |
| accuracy | 0.2109375 | (*.f64 (PI.f64) l) | |
| accuracy | 0.24609375 | (/.f64 (PI.f64) F) | |
| accuracy | 32.627217373773554 | #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) | |
| accuracy | 0.015625 | (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) | |
| accuracy | 0.43936589565070366 | (/.f64 (PI.f64) (*.f64 F F)) | |
| accuracy | 3.6405911316240527 | (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) | |
| accuracy | 17.90913057722207 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) | |
| accuracy | 0.07421875 | (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) | |
| accuracy | 0.08203125 | (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) | |
| accuracy | 0.2109375 | (*.f64 l (PI.f64)) | |
| accuracy | 31.286973898132977 | (tan.f64 (*.f64 l (PI.f64))) |
| 126.0ms | 256× | 0 | valid |
Compiled 606 to 82 computations (86.5% saved)
ival-mult: 29.0ms (31% of total)ival-pi: 20.0ms (21.4% of total)ival-div: 14.0ms (15% of total)ival-sinu: 6.0ms (6.4% of total)ival-tanu: 6.0ms (6.4% of total)ival-add: 5.0ms (5.3% of total)ival-cosu: 5.0ms (5.3% of total)ival-sub: 4.0ms (4.3% of total)const: 4.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ()) |
#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) (patch (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) #<representation binary64>) () ()) |
#s(alt (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (patch (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)) #<representation binary64>) () ()) |
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F) (patch (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) (patch (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))) (patch #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (PI.f64) F) l) (patch (*.f64 (/.f64 (PI.f64) F) l) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (*.f64 l (PI.f64))) (patch (sin.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (PI.f64) (*.f64 F F)) (patch (/.f64 (PI.f64) (*.f64 F F)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ()) |
#s(alt (/.f64 (PI.f64) F) (patch (/.f64 (PI.f64) F) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F) (patch (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F) #<representation binary64>) () ()) |
#s(alt (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) (patch (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 l (PI.f64))) (patch (cos.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) (patch (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* l (PI)) (pow F 2))) (taylor 0 F) (#s(alt (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) (patch (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) (patch (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) (patch (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) (patch (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (PI) (pow F 2))) (taylor 0 F) (#s(alt (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (patch (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (patch (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | F | @ | inf | ((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (/ (/ (tan (* l (PI))) F) F) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (/ (PI) F) l) (- (* (PI) l) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) (sin (* l (PI))) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (cos (* l (PI))) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) |
| 6.0ms | l | @ | 0 | ((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (/ (/ (tan (* l (PI))) F) F) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (/ (PI) F) l) (- (* (PI) l) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) (sin (* l (PI))) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (cos (* l (PI))) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) |
| 5.0ms | l | @ | -inf | ((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (/ (/ (tan (* l (PI))) F) F) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (/ (PI) F) l) (- (* (PI) l) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) (sin (* l (PI))) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (cos (* l (PI))) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) |
| 5.0ms | F | @ | 0 | ((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (/ (/ (tan (* l (PI))) F) F) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (/ (PI) F) l) (- (* (PI) l) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) (sin (* l (PI))) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (cos (* l (PI))) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) |
| 5.0ms | l | @ | inf | ((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (/ (/ (tan (* l (PI))) F) F) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (/ (PI) F) l) (- (* (PI) l) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) (sin (* l (PI))) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (cos (* l (PI))) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 398 | 7771 |
| 1 | 1251 | 7468 |
| 2 | 4592 | 6777 |
| 0 | 8648 | 6552 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(* -1 (/ (PI) (pow F 2))) |
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) |
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) |
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
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(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))))) |
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))))) |
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))))) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (PI)) |
(* l (+ (PI) (* -1/6 (* (pow l 2) (pow (PI) 3))))) |
(* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow l 2) (pow (PI) 5))))))) |
(* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (+ (* -1/5040 (* (pow l 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))) |
(/ (* l (PI)) F) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(/ (- (pow F 2) 1) F) |
(- (+ F (* -1/3 (/ (* (pow l 2) (pow (PI) 2)) F))) (/ 1 F)) |
(- (+ F (* -1/3 (/ (* (pow l 2) (pow (PI) 2)) F))) (/ 1 F)) |
(- (+ F (* -1/3 (/ (* (pow l 2) (pow (PI) 2)) F))) (/ 1 F)) |
(- (pow F 2) 1) |
(- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1) |
(- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1) |
(- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1) |
1 |
(+ 1 (* -1/2 (* (pow l 2) (pow (PI) 2)))) |
(+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* 1/24 (* (pow l 2) (pow (PI) 4)))))) |
(+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* (pow l 2) (+ (* -1/720 (* (pow l 2) (pow (PI) 6))) (* 1/24 (pow (PI) 4))))))) |
(/ (* l (PI)) (pow F 2)) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* (pow l 3) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2))))) |
(* (pow l 3) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2))))) |
(* (pow l 3) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2))))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))))) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(sin (* l (PI))) |
(sin (* l (PI))) |
(sin (* l (PI))) |
(sin (* l (PI))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(* -1/3 (/ (* (pow l 2) (pow (PI) 2)) F)) |
(* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 2) F)) (/ F (pow l 2))) (/ 1 (* F (pow l 2))))) |
(* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 2) F)) (/ F (pow l 2))) (/ 1 (* F (pow l 2))))) |
(* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 2) F)) (/ F (pow l 2))) (/ 1 (* F (pow l 2))))) |
(* -1/3 (* (pow l 2) (pow (PI) 2))) |
(* (pow l 2) (- (+ (* -1/3 (pow (PI) 2)) (/ (pow F 2) (pow l 2))) (/ 1 (pow l 2)))) |
(* (pow l 2) (- (+ (* -1/3 (pow (PI) 2)) (/ (pow F 2) (pow l 2))) (/ 1 (pow l 2)))) |
(* (pow l 2) (- (+ (* -1/3 (pow (PI) 2)) (/ (pow F 2) (pow l 2))) (/ 1 (pow l 2)))) |
(cos (* l (PI))) |
(cos (* l (PI))) |
(cos (* l (PI))) |
(cos (* l (PI))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(sin (* l (PI))) |
(sin (* l (PI))) |
(sin (* l (PI))) |
(sin (* l (PI))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(* -1/3 (/ (* (pow l 2) (pow (PI) 2)) F)) |
(* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 2) F)) (/ F (pow l 2))) (/ 1 (* F (pow l 2))))) |
(* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 2) F)) (/ F (pow l 2))) (/ 1 (* F (pow l 2))))) |
(* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 2) F)) (/ F (pow l 2))) (/ 1 (* F (pow l 2))))) |
(* -1/3 (* (pow l 2) (pow (PI) 2))) |
(* (pow l 2) (- (+ (* -1/3 (pow (PI) 2)) (/ (pow F 2) (pow l 2))) (/ 1 (pow l 2)))) |
(* (pow l 2) (- (+ (* -1/3 (pow (PI) 2)) (/ (pow F 2) (pow l 2))) (/ 1 (pow l 2)))) |
(* (pow l 2) (- (+ (* -1/3 (pow (PI) 2)) (/ (pow F 2) (pow l 2))) (/ 1 (pow l 2)))) |
(cos (* l (PI))) |
(cos (* l (PI))) |
(cos (* l (PI))) |
(cos (* l (PI))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
| Outputs |
|---|
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) |
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) |
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) |
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) |
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) |
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) |
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
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(*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 l #s(literal 3 binary64))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F)) |
(* -1 (* (pow l 3) (+ (* -1 (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) l)) (pow.f64 l #s(literal 3 binary64))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) l)) (pow.f64 l #s(literal 3 binary64))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) l)) (pow.f64 l #s(literal 3 binary64))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 l #s(literal 3 binary64))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F)) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) l)) (pow.f64 l #s(literal 3 binary64))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) l)) (pow.f64 l #s(literal 3 binary64))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) l)) (pow.f64 l #s(literal 3 binary64))) |
(/ (* l (PI)) F) |
(*.f64 (/.f64 (PI.f64) F) l) |
(/ (* l (PI)) F) |
(*.f64 (/.f64 (PI.f64) F) l) |
(/ (* l (PI)) F) |
(*.f64 (/.f64 (PI.f64) F) l) |
(/ (* l (PI)) F) |
(*.f64 (/.f64 (PI.f64) F) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(sin (* l (PI))) |
(sin.f64 (*.f64 (PI.f64) l)) |
(sin (* l (PI))) |
(sin.f64 (*.f64 (PI.f64) l)) |
(sin (* l (PI))) |
(sin.f64 (*.f64 (PI.f64) l)) |
(sin (* l (PI))) |
(sin.f64 (*.f64 (PI.f64) l)) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l))) |
(* -1/3 (/ (* (pow l 2) (pow (PI) 2)) F)) |
(*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) F))) |
(* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 2) F)) (/ F (pow l 2))) (/ 1 (* F (pow l 2))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)) |
(* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 2) F)) (/ F (pow l 2))) (/ 1 (* F (pow l 2))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)) |
(* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 2) F)) (/ F (pow l 2))) (/ 1 (* F (pow l 2))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)) |
(* -1/3 (* (pow l 2) (pow (PI) 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64)) |
(* (pow l 2) (- (+ (* -1/3 (pow (PI) 2)) (/ (pow F 2) (pow l 2))) (/ 1 (pow l 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 (/.f64 (fma.f64 F F #s(literal -1 binary64)) l) l)) (*.f64 l l)) |
(* (pow l 2) (- (+ (* -1/3 (pow (PI) 2)) (/ (pow F 2) (pow l 2))) (/ 1 (pow l 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 (/.f64 (fma.f64 F F #s(literal -1 binary64)) l) l)) (*.f64 l l)) |
(* (pow l 2) (- (+ (* -1/3 (pow (PI) 2)) (/ (pow F 2) (pow l 2))) (/ 1 (pow l 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 (/.f64 (fma.f64 F F #s(literal -1 binary64)) l) l)) (*.f64 l l)) |
(cos (* l (PI))) |
(cos.f64 (*.f64 (PI.f64) l)) |
(cos (* l (PI))) |
(cos.f64 (*.f64 (PI.f64) l)) |
(cos (* l (PI))) |
(cos.f64 (*.f64 (PI.f64) l)) |
(cos (* l (PI))) |
(cos.f64 (*.f64 (PI.f64) l)) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 319 |
| 0 | 91 | 315 |
| 1 | 352 | 295 |
| 2 | 3076 | 295 |
| 0 | 8267 | 288 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F) |
(tan.f64 (*.f64 l (PI.f64))) |
(*.f64 l (PI.f64)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) |
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) |
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) |
(PI.f64) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)) |
(*.f64 (PI.f64) l) |
(/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F) |
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) |
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))) |
(*.f64 (/.f64 (PI.f64) F) l) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(sin.f64 (*.f64 l (PI.f64))) |
(/.f64 (PI.f64) (*.f64 F F)) |
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) |
(/.f64 (PI.f64) F) |
(/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F) |
(fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) |
(cos.f64 (*.f64 l (PI.f64))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
| Outputs |
|---|
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Compiled 36 500 to 4 432 computations (87.9% saved)
29 alts after pruning (23 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 674 | 18 | 1 692 |
| Fresh | 9 | 5 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 685 | 29 | 1 714 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 79.1% | (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
| ▶ | 79.1% | (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
| 74.0% | (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))) | |
| ▶ | 73.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) |
| 73.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) | |
| 74.0% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) | |
| 73.9% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))) | |
| ✓ | 74.0% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
| 71.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) F) l)) F)) | |
| 71.8% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (PI.f64) (/.f64 l F))) F)) | |
| 72.7% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 F)) (tan.f64 (*.f64 (PI.f64) l)))) | |
| 73.4% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) | |
| ✓ | 73.6% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| ✓ | 72.8% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
| 66.4% | (-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ (tan (* l (PI))) F) F) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) | |
| 53.7% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (PI.f64) (*.f64 F F)) #s(literal 2 binary64))) l) (fma.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64) (PI.f64)))) | |
| 66.2% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))) l)) | |
| ✓ | 66.3% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) |
| 74.4% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) | |
| ✓ | 74.9% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
| ▶ | 24.7% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) |
| ▶ | 19.5% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) |
| 32.1% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F)))) | |
| 38.5% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (fma.f64 F F (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64))) F) l)) F))) | |
| 33.4% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 F (fma.f64 F F (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64)))) F)))) | |
| 31.3% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 #s(approx (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (*.f64 F F)) F)))) | |
| 60.7% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (-.f64 F (/.f64 #s(literal 1 binary64) F)))))) | |
| ▶ | 26.6% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))) |
| 35.8% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) |
Compiled 876 to 640 computations (26.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (pow.f64 F #s(literal -2 binary64))) | |
| cost-diff | 0 | (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))) | |
| cost-diff | 0 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))) | |
| cost-diff | 1664 | (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))) | |
| cost-diff | 0 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) | |
| cost-diff | 0 | (/.f64 (neg.f64 (PI.f64)) F) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) | |
| cost-diff | 0 | #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) | |
| cost-diff | 0 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) | |
| cost-diff | 0 | (tan.f64 (*.f64 (PI.f64) l)) | |
| cost-diff | 0 | (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) | |
| cost-diff | 448 | (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) | |
| cost-diff | 576 | (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 685 |
| 0 | 122 | 681 |
| 1 | 244 | 673 |
| 2 | 592 | 668 |
| 3 | 1529 | 620 |
| 4 | 2886 | 605 |
| 5 | 7033 | 605 |
| 0 | 8036 | 592 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) |
(neg.f64 (tan.f64 (*.f64 (PI.f64) l))) |
(tan.f64 (*.f64 (PI.f64) l)) |
(*.f64 (PI.f64) l) |
(PI.f64) |
l |
(/.f64 #s(literal -1 binary64) F) |
#s(literal -1 binary64) |
F |
(*.f64 l (PI.f64)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) |
#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) |
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) |
(/.f64 (neg.f64 (PI.f64)) F) |
(neg.f64 (PI.f64)) |
(PI.f64) |
F |
(/.f64 l F) |
l |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) |
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) |
(*.f64 (*.f64 l l) #s(literal -1/3 binary64)) |
(*.f64 l l) |
l |
#s(literal -1/3 binary64) |
(PI.f64) |
#s(literal -1 binary64) |
(*.f64 (PI.f64) l) |
(*.f64 F F) |
F |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))) |
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))) |
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))) |
(*.f64 (/.f64 (PI.f64) F) l) |
(/.f64 (PI.f64) F) |
(PI.f64) |
F |
l |
#s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)) |
(-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) |
(fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) |
(*.f64 (PI.f64) (/.f64 (PI.f64) F)) |
#s(literal -1/3 binary64) |
(/.f64 F (*.f64 l l)) |
(*.f64 l l) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 l l) F) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))) |
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) |
(neg.f64 (pow.f64 F #s(literal -2 binary64))) |
(pow.f64 F #s(literal -2 binary64)) |
F |
#s(literal -2 binary64) |
(tan.f64 (*.f64 l (PI.f64))) |
(*.f64 l (PI.f64)) |
l |
(PI.f64) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) |
(neg.f64 (tan.f64 (*.f64 (PI.f64) l))) |
(tan.f64 (*.f64 (PI.f64) l)) |
(*.f64 (PI.f64) l) |
(PI.f64) |
l |
(/.f64 #s(literal -1 binary64) F) |
#s(literal -1 binary64) |
F |
(*.f64 l (PI.f64)) |
(*.f64 (PI.f64) l) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) l))) |
#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) |
#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) l)) |
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) |
(*.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) l) |
(/.f64 (neg.f64 (PI.f64)) F) |
(neg.f64 (PI.f64)) |
(PI.f64) |
F |
(/.f64 l F) |
l |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 (neg.f64 (PI.f64)) l)) F) F))) |
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))) |
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 (neg.f64 (PI.f64)) l)) F) F)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 (neg.f64 (PI.f64)) l)) F) F) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) |
(fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 (neg.f64 (PI.f64)) l)) |
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) |
(*.f64 (*.f64 l l) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 l l)) |
(*.f64 l l) |
l |
#s(literal -1/3 binary64) |
(PI.f64) |
#s(literal -1 binary64) |
(*.f64 (PI.f64) l) |
(*.f64 F F) |
F |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (fma.f64 (*.f64 l (/.f64 l F)) (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64)) (-.f64 F (/.f64 #s(literal 1 binary64) F)))) (*.f64 (/.f64 (PI.f64) F) l)))) |
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))) |
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (fma.f64 (*.f64 l (/.f64 l F)) (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64)) (-.f64 F (/.f64 #s(literal 1 binary64) F)))) (*.f64 (/.f64 (PI.f64) F) l))) |
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))) |
(*.f64 #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (fma.f64 (*.f64 l (/.f64 l F)) (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64)) (-.f64 F (/.f64 #s(literal 1 binary64) F)))) (*.f64 (/.f64 (PI.f64) F) l)) |
(*.f64 (/.f64 (PI.f64) F) l) |
(/.f64 (PI.f64) F) |
(PI.f64) |
F |
l |
#s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))) |
#s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (fma.f64 (*.f64 l (/.f64 l F)) (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64)) (-.f64 F (/.f64 #s(literal 1 binary64) F)))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)) |
(fma.f64 (*.f64 l (/.f64 l F)) (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64)) (-.f64 F (/.f64 #s(literal 1 binary64) F))) |
(-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) |
(-.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) F) (PI.f64)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) |
(fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) |
(fma.f64 (*.f64 (/.f64 (PI.f64) F) (PI.f64)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) |
(*.f64 (PI.f64) (/.f64 (PI.f64) F)) |
(*.f64 (/.f64 (PI.f64) F) (PI.f64)) |
#s(literal -1/3 binary64) |
(/.f64 F (*.f64 l l)) |
(*.f64 l l) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 l l) F) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) |
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))) |
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) |
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l)) |
(neg.f64 (pow.f64 F #s(literal -2 binary64))) |
(pow.f64 F #s(literal -2 binary64)) |
F |
#s(literal -2 binary64) |
(tan.f64 (*.f64 l (PI.f64))) |
(tan.f64 (*.f64 (PI.f64) l)) |
(*.f64 l (PI.f64)) |
(*.f64 (PI.f64) l) |
l |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23828125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) | |
| accuracy | 0.47227647457071875 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))) | |
| accuracy | 11.58777895563378 | (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) | |
| accuracy | 31.286973898132977 | (tan.f64 (*.f64 l (PI.f64))) | |
| accuracy | 7.642918384025296 | (*.f64 (*.f64 l l) F) | |
| accuracy | 8.06954212331413 | (/.f64 F (*.f64 l l)) | |
| accuracy | 24.10889463398752 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))) | |
| accuracy | 25.849567437607906 | (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)) | |
| accuracy | 0.21875 | (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) | |
| accuracy | 11.478498075922085 | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) | |
| accuracy | 24.10889463398752 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) | |
| accuracy | 24.54198238486466 | #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))) | |
| accuracy | 0.174160009768442 | (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) | |
| accuracy | 0.24609375 | (/.f64 (neg.f64 (PI.f64)) F) | |
| accuracy | 17.90913057722207 | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) | |
| accuracy | 30.85876159925683 | #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) | |
| accuracy | 0.125 | (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) | |
| accuracy | 0.2109375 | (*.f64 (PI.f64) l) | |
| accuracy | 0.2109375 | (*.f64 l (PI.f64)) | |
| accuracy | 31.286973898132977 | (tan.f64 (*.f64 (PI.f64) l)) |
| 170.0ms | 256× | 0 | valid |
Compiled 908 to 110 computations (87.9% saved)
ival-mult: 44.0ms (30.3% of total)ival-div: 43.0ms (29.7% of total)ival-add: 31.0ms (21.4% of total)ival-pow: 8.0ms (5.5% of total)ival-tanu: 6.0ms (4.1% of total)const: 4.0ms (2.8% of total)ival-neg: 4.0ms (2.8% of total)ival-sub: 3.0ms (2.1% of total)ival-pi: 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 |
|---|
#s(alt (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (patch (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (patch (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) #<representation binary64>) () ()) |
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#s(alt (/.f64 (neg.f64 (PI.f64)) F) (patch (/.f64 (neg.f64 (PI.f64)) F) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))) (patch #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (patch (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)) (patch (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))) (patch #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))) (patch (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))) #<representation binary64>) () ()) |
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#s(alt (neg.f64 (pow.f64 F #s(literal -2 binary64))) (patch (neg.f64 (pow.f64 F #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ()) |
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#s(alt (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 F (*.f64 l l)) (patch (/.f64 F (*.f64 l l)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 l l) F) (patch (*.f64 (*.f64 l l) F) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (patch (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (patch (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* l (PI)) (pow F 2))) (taylor 0 F) (#s(alt #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* l (PI)) (pow F 2))) (taylor 0 F) (#s(alt (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) (patch (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* l (PI)) (pow F 2))) (taylor 0 F) (#s(alt (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) (patch (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* l (PI)) (pow F 2))) (taylor 0 F) (#s(alt (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) (patch (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* l (PI)) (pow F 2))) (taylor 0 F) (#s(alt (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) (patch (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (PI) F)) (taylor 0 F) (#s(alt (/.f64 (neg.f64 (PI.f64)) F) (patch (/.f64 (neg.f64 (PI.f64)) F) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (PI) F)) (taylor 0 F) (#s(alt (/.f64 (neg.f64 (PI.f64)) F) (patch (/.f64 (neg.f64 (PI.f64)) F) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) #<representation binary64>) () ())) ()) |
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#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ()) |
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ()) |
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ()) |
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) (taylor -inf l) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) (taylor -inf l) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) (taylor -inf l) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) (taylor -inf l) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ F (pow l 2)) (taylor -inf l) (#s(alt (/.f64 F (*.f64 l l)) (patch (/.f64 F (*.f64 l l)) #<representation binary64>) () ())) ()) |
#s(alt (/ F (pow l 2)) (taylor -inf l) (#s(alt (/.f64 F (*.f64 l l)) (patch (/.f64 F (*.f64 l l)) #<representation binary64>) () ())) ()) |
#s(alt (/ F (pow l 2)) (taylor -inf l) (#s(alt (/.f64 F (*.f64 l l)) (patch (/.f64 F (*.f64 l l)) #<representation binary64>) () ())) ()) |
#s(alt (/ F (pow l 2)) (taylor -inf l) (#s(alt (/.f64 F (*.f64 l l)) (patch (/.f64 F (*.f64 l l)) #<representation binary64>) () ())) ()) |
#s(alt (* F (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) F) (patch (*.f64 (*.f64 l l) F) #<representation binary64>) () ())) ()) |
#s(alt (* F (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) F) (patch (*.f64 (*.f64 l l) F) #<representation binary64>) () ())) ()) |
#s(alt (* F (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) F) (patch (*.f64 (*.f64 l l) F) #<representation binary64>) () ())) ()) |
#s(alt (* F (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) F) (patch (*.f64 (*.f64 l l) F) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | F | @ | 0 | ((+ (* (* (neg (tan (* (PI) l))) (/ -1 F)) (/ -1 F)) (* l (PI))) (* (neg (tan (* (PI) l))) (/ -1 F)) (neg (tan (* (PI) l))) (tan (* (PI) l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (* (* l l) -1/3) (PI)) (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI)))) (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (neg (pow F -2)) (* l (PI)) (* (PI) l) (/ (* (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (PI) l)) (* F F)) (* (* l l) -1/3) (/ F (* l l)) (* (* l l) F) (tan (* l (PI)))) |
| 10.0ms | l | @ | 0 | ((+ (* (* (neg (tan (* (PI) l))) (/ -1 F)) (/ -1 F)) (* l (PI))) (* (neg (tan (* (PI) l))) (/ -1 F)) (neg (tan (* (PI) l))) (tan (* (PI) l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (* (* l l) -1/3) (PI)) (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI)))) (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (neg (pow F -2)) (* l (PI)) (* (PI) l) (/ (* (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (PI) l)) (* F F)) (* (* l l) -1/3) (/ F (* l l)) (* (* l l) F) (tan (* l (PI)))) |
| 6.0ms | l | @ | inf | ((+ (* (* (neg (tan (* (PI) l))) (/ -1 F)) (/ -1 F)) (* l (PI))) (* (neg (tan (* (PI) l))) (/ -1 F)) (neg (tan (* (PI) l))) (tan (* (PI) l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (* (* l l) -1/3) (PI)) (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI)))) (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (neg (pow F -2)) (* l (PI)) (* (PI) l) (/ (* (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (PI) l)) (* F F)) (* (* l l) -1/3) (/ F (* l l)) (* (* l l) F) (tan (* l (PI)))) |
| 6.0ms | F | @ | inf | ((+ (* (* (neg (tan (* (PI) l))) (/ -1 F)) (/ -1 F)) (* l (PI))) (* (neg (tan (* (PI) l))) (/ -1 F)) (neg (tan (* (PI) l))) (tan (* (PI) l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (* (* l l) -1/3) (PI)) (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI)))) (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (neg (pow F -2)) (* l (PI)) (* (PI) l) (/ (* (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (PI) l)) (* F F)) (* (* l l) -1/3) (/ F (* l l)) (* (* l l) F) (tan (* l (PI)))) |
| 6.0ms | F | @ | -inf | ((+ (* (* (neg (tan (* (PI) l))) (/ -1 F)) (/ -1 F)) (* l (PI))) (* (neg (tan (* (PI) l))) (/ -1 F)) (neg (tan (* (PI) l))) (tan (* (PI) l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (* (* l l) -1/3) (PI)) (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI)))) (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (neg (pow F -2)) (* l (PI)) (* (PI) l) (/ (* (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (PI) l)) (* F F)) (* (* l l) -1/3) (/ F (* l l)) (* (* l l) F) (tan (* l (PI)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 480 | 9704 |
| 1 | 1509 | 9348 |
| 2 | 5992 | 8611 |
| 0 | 8228 | 8377 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) F) |
(/ (+ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) (pow F 2)) F) |
(/ (+ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) (pow F 2)) F) |
(/ (+ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) (pow F 2)) F) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(* -1 (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))) |
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* -1 (/ (* (pow F 2) (* l (* (PI) (pow (cos (* l (PI))) 2)))) (pow (sin (* l (PI))) 2))))) |
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3)))) (pow (sin (* l (PI))) 3))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2)))))) |
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 4)))) (pow (sin (* l (PI))) 4))) (/ (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3))) (pow (sin (* l (PI))) 3)))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2)))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/ F (pow l 2)) |
(/ F (pow l 2)) |
(/ F (pow l 2)) |
(/ F (pow l 2)) |
(* F (pow l 2)) |
(* F (pow l 2)) |
(* F (pow l 2)) |
(* F (pow l 2)) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(* l (PI)) |
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F |
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-1 |
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(* -1 (/ (- (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (/ 1 (PI))) l)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* l (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* l (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) l)) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l)) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) |
(* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) |
(* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) |
(* -1/3 (pow l 2)) |
(* -1/3 (pow l 2)) |
(* -1/3 (pow l 2)) |
(* -1/3 (pow l 2)) |
(/ F (pow l 2)) |
(/ F (pow l 2)) |
(/ F (pow l 2)) |
(/ F (pow l 2)) |
(* F (pow l 2)) |
(* F (pow l 2)) |
(* F (pow l 2)) |
(* F (pow l 2)) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
| Outputs |
|---|
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F)) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F)) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F)) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F)) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F)) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F)) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F)) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F)) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F)) |
(* -1 (/ (PI) F)) |
(/.f64 (neg.f64 (PI.f64)) F) |
(* -1 (/ (PI) F)) |
(/.f64 (neg.f64 (PI.f64)) F) |
(* -1 (/ (PI) F)) |
(/.f64 (neg.f64 (PI.f64)) F) |
(* -1 (/ (PI) F)) |
(/.f64 (neg.f64 (PI.f64)) F) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F)) |
(/ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) F) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) (/.f64 (*.f64 l l) F)) |
(/ (+ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) (pow F 2)) F) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) (*.f64 l l) (*.f64 F F)) F) |
(/ (+ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) (pow F 2)) F) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) (*.f64 l l) (*.f64 F F)) F) |
(/ (+ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) (pow F 2)) F) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) (*.f64 l l) (*.f64 F F)) F) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F)) |
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F)) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(* -1 (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l))) |
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* -1 (/ (* (pow F 2) (* l (* (PI) (pow (cos (* l (PI))) 2)))) (pow (sin (* l (PI))) 2))))) |
(*.f64 (*.f64 (neg.f64 F) F) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (PI.f64) l)) (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64))) (*.f64 F F) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))))) |
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3)))) (pow (sin (* l (PI))) 3))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2)))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) F) F) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (PI.f64) l)) (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64))))) (*.f64 F F) (/.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)) |
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 4)))) (pow (sin (* l (PI))) 4))) (/ (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3))) (pow (sin (* l (PI))) 3)))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2)))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (PI.f64))) (/.f64 l (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 4 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 4 binary64))) (*.f64 F F) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) l)) (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64))))) (*.f64 F F))) (*.f64 F F) (/.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ -1 (pow F 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 F F)) |
(/ -1 (pow F 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 F F)) |
(/ -1 (pow F 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 F F)) |
(/ -1 (pow F 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 F F)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/ F (pow l 2)) |
(/.f64 F (*.f64 l l)) |
(/ F (pow l 2)) |
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(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (neg.f64 (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) l)))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (neg.f64 (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) l)))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (neg.f64 (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) l)))) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/3 binary64)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F)) |
(* -1 (* (pow l 3) (+ (* -1 (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 l l)))) (pow.f64 l #s(literal 3 binary64))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 l l)))) (pow.f64 l #s(literal 3 binary64))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 l l)))) (pow.f64 l #s(literal 3 binary64))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(/ 1 (* l (PI))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)) |
(* -1 (/ (- (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (/ 1 (PI))) l)) |
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (*.f64 (PI.f64) (PI.f64)) l)) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* l (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) (PI.f64))) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 F #s(literal 4 binary64)) l) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64))))) l) (/.f64 #s(literal 1 binary64) (PI.f64))) l) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* l (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) l)) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 F #s(literal 6 binary64)) l) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (pow.f64 F #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)))) l) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) (PI.f64))) (cos.f64 (*.f64 (PI.f64) l)))) l) (/.f64 #s(literal 1 binary64) (PI.f64))) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/3 binary64)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F)) |
(* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 l l) F) F))) (pow.f64 l #s(literal 3 binary64))) |
(* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 l l) F) F))) (pow.f64 l #s(literal 3 binary64))) |
(* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 l l) F) F))) (pow.f64 l #s(literal 3 binary64))) |
(* -1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal -1/3 binary64)) |
(* -1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal -1/3 binary64)) |
(* -1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal -1/3 binary64)) |
(* -1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal -1/3 binary64)) |
(/ F (pow l 2)) |
(/.f64 F (*.f64 l l)) |
(/ F (pow l 2)) |
(/.f64 F (*.f64 l l)) |
(/ F (pow l 2)) |
(/.f64 F (*.f64 l l)) |
(/ F (pow l 2)) |
(/.f64 F (*.f64 l l)) |
(* F (pow l 2)) |
(*.f64 (*.f64 l l) F) |
(* F (pow l 2)) |
(*.f64 (*.f64 l l) F) |
(* F (pow l 2)) |
(*.f64 (*.f64 l l) F) |
(* F (pow l 2)) |
(*.f64 (*.f64 l l) F) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 530 |
| 0 | 122 | 534 |
| 1 | 466 | 492 |
| 2 | 3950 | 492 |
| 0 | 8241 | 478 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) |
(neg.f64 (tan.f64 (*.f64 (PI.f64) l))) |
(tan.f64 (*.f64 (PI.f64) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) |
#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) |
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) |
(/.f64 (neg.f64 (PI.f64)) F) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) |
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))) |
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) |
(*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))) |
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))) |
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))) |
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) |
(neg.f64 (pow.f64 F #s(literal -2 binary64))) |
(*.f64 l (PI.f64)) |
(*.f64 (PI.f64) l) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) |
(*.f64 (*.f64 l l) #s(literal -1/3 binary64)) |
(/.f64 F (*.f64 l l)) |
(*.f64 (*.f64 l l) F) |
(tan.f64 (*.f64 l (PI.f64))) |
| Outputs |
|---|
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Compiled 29 565 to 2 829 computations (90.4% saved)
33 alts after pruning (25 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 218 | 8 | 1 226 |
| Fresh | 1 | 17 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 222 | 33 | 1 255 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 79.1% | (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
| ✓ | 79.1% | (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
| 74.0% | (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))) | |
| 73.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) | |
| 74.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (*.f64 (PI.f64) l)))) | |
| 73.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) | |
| 74.0% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) | |
| 73.9% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))) | |
| 71.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) F) l)) F)) | |
| 72.7% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 F)) (tan.f64 (*.f64 (PI.f64) l)))) | |
| 73.4% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) | |
| ✓ | 73.6% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| ✓ | 72.8% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
| 66.4% | (-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ (tan (* l (PI))) F) F) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) | |
| 21.6% | #s(approx (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) | |
| 53.7% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (PI.f64) (*.f64 F F)) #s(literal 2 binary64))) l) (fma.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64) (PI.f64)))) | |
| 66.2% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))) l)) | |
| ✓ | 66.3% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) |
| 74.4% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) | |
| ✓ | 74.9% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
| 19.6% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))) | |
| 24.7% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)))) | |
| ✓ | 24.7% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) |
| 24.7% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))) | |
| 19.3% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) | |
| ✓ | 19.5% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) |
| 32.1% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F)))) | |
| 38.5% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (fma.f64 F F (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64))) F) l)) F))) | |
| 33.4% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 F (fma.f64 F F (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64)))) F)))) | |
| 31.3% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 #s(approx (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (*.f64 F F)) F)))) | |
| 60.7% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (-.f64 F (/.f64 #s(literal 1 binary64) F)))))) | |
| 26.6% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) #s(approx (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (*.f64 (+.f64 (/.f64 F (*.f64 l l)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) F)) (*.f64 l l))))))) | |
| 35.8% | #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) |
Compiled 1 498 to 679 computations (54.7% saved)
| Inputs |
|---|
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (*.f64 (PI.f64) l)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)))) |
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) |
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ (tan (* l (PI))) F) F) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) |
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (-.f64 F (/.f64 #s(literal 1 binary64) F)))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (PI.f64) (/.f64 l F))) F)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) F)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 #s(approx (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (*.f64 F F)) F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx (/ F (/ (tan (* l (PI))) F)) (*.f64 (/.f64 F (PI.f64)) (/.f64 F l))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) F) l)) F)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) #s(approx (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (*.f64 (+.f64 (/.f64 F (*.f64 l l)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) F)) (*.f64 l l))))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))) |
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) |
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) |
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l)))) |
(fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 F (fma.f64 F F (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64)))) F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (fma.f64 F F (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64))) F) l)) F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) |
#s(approx (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (PI.f64) (*.f64 F F)) #s(literal 2 binary64))) l) (fma.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64) (PI.f64)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64)))))))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 F)) (tan.f64 (*.f64 (PI.f64) l)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) #s(literal 2 binary64)) #s(literal -1/3 binary64)) F) (/.f64 #s(literal -1 binary64) F)) (/.f64 (PI.f64) F)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) l) (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) #s(literal 2 binary64)) #s(literal -1/3 binary64)) F) (/.f64 #s(literal -1 binary64) F)) (/.f64 (PI.f64) F) (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 l (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64)))))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 F #s(literal -6 binary64))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 3 binary64)) (pow.f64 (*.f64 l (PI.f64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 2 binary64)) (pow.f64 F #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 l (PI.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (*.f64 l (PI.f64)))))) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
6 calls:
| 38.0ms | F |
| 19.0ms | (*.f64 (PI.f64) l) |
| 19.0ms | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| 16.0ms | l |
| 16.0ms | (*.f64 F F) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.5% | 3 | F |
| 98.7% | 2 | l |
| 89.2% | 2 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 98.7% | 2 | (*.f64 (PI.f64) l) |
| 79.1% | 1 | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| 79.1% | 1 | (*.f64 F F) |
Compiled 27 to 26 computations (3.7% saved)
| Inputs |
|---|
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (*.f64 (PI.f64) l)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)))) |
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) |
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ (tan (* l (PI))) F) F) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) |
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (-.f64 F (/.f64 #s(literal 1 binary64) F)))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (PI.f64) (/.f64 l F))) F)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) F)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 #s(approx (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (*.f64 F F)) F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx (/ F (/ (tan (* l (PI))) F)) (*.f64 (/.f64 F (PI.f64)) (/.f64 F l))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) F) l)) F)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) #s(approx (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (*.f64 (+.f64 (/.f64 F (*.f64 l l)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) F)) (*.f64 l l))))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))) |
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) |
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (PI.f64) (/.f64 l F))) F)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
2 calls:
| 58.0ms | (*.f64 (PI.f64) l) |
| 9.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | l |
| 97.7% | 2 | (*.f64 (PI.f64) l) |
Compiled 4 to 6 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (*.f64 (PI.f64) l)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)))) |
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) |
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ (tan (* l (PI))) F) F) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) |
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (-.f64 F (/.f64 #s(literal 1 binary64) F)))))) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
2 calls:
| 8.0ms | (*.f64 (PI.f64) l) |
| 4.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 2 | l |
| 92.3% | 2 | (*.f64 (PI.f64) l) |
Compiled 4 to 6 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (*.f64 (PI.f64) l)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)))) |
| Outputs |
|---|
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
2 calls:
| 3.0ms | l |
| 3.0ms | (*.f64 (PI.f64) l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 2 | l |
| 92.3% | 2 | (*.f64 (PI.f64) l) |
Compiled 4 to 6 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))) |
| Outputs |
|---|
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
3 calls:
| 5.0ms | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 2.0ms | (*.f64 (PI.f64) l) |
| 2.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 4 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 74.9% | 1 | l |
| 74.9% | 1 | (*.f64 (PI.f64) l) |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) |
| Outputs |
|---|
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
1 calls:
| 2.0ms | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 4 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
Compiled 14 to 10 computations (28.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
| Outputs |
|---|
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
6 calls:
| 1.0ms | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 1.0ms | (*.f64 (PI.f64) l) |
| 1.0ms | F |
| 1.0ms | l |
| 1.0ms | (*.f64 F F) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.9% | 1 | l |
| 74.9% | 1 | (*.f64 (PI.f64) l) |
| 74.9% | 1 | (*.f64 F F) |
| 74.9% | 1 | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| 74.9% | 1 | F |
| 74.9% | 1 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
Compiled 27 to 26 computations (3.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 576030368840893.3 | 4415845407209705.0 |
Compiled 15 to 15 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 175973409922605.8 | 243242953973332.84 |
Compiled 15 to 15 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 175973409922605.8 | 243242953973332.84 |
Compiled 15 to 15 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 175973409922605.8 | 243242953973332.84 |
Compiled 15 to 15 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.483404512330653e-132 | 1.6582032199921386e-302 |
| 0.0ms | -1.0166315151860027e+124 | -2.4271893090512022e+120 |
| 0.0ms | -7.834774214928524e+276 | -1.6869012351429806e+272 |
Compiled 17 to 15 computations (11.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.483404512330653e-132 | 1.6582032199921386e-302 |
| 0.0ms | -1.0166315151860027e+124 | -2.4271893090512022e+120 |
| 0.0ms | -7.834774214928524e+276 | -1.6869012351429806e+272 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 462 |
| 1 | 120 | 406 |
| 2 | 228 | 406 |
| 3 | 417 | 406 |
| 4 | 670 | 406 |
| 5 | 1341 | 406 |
| 6 | 2828 | 406 |
| 7 | 4795 | 406 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 200000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (PI.f64) (/.f64 l F))) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 200000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 200000000000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))) |
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -5000000000000000014339392554976861624351030032307491891786714963455192826951136079841645978666612324808479156564299152005093968192740890223899883592402933027172967020052041660293849107704861024718326980908701245637596009600853559934996040535864898581843704726957456644770889728 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))) (if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -399583814440447/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))))) |
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -5000000000000000014339392554976861624351030032307491891786714963455192826951136079841645978666612324808479156564299152005093968192740890223899883592402933027172967020052041660293849107704861024718326980908701245637596009600853559934996040535864898581843704726957456644770889728 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) (if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -399583814440447/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))) |
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 1000000000000000 binary64)) (-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 200000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (PI.f64) (/.f64 l F))) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))) |
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 200000000000000 binary64)) (-.f64 (*.f64 l (PI.f64)) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 l F) (PI.f64))) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 200000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))) |
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 200000000000000 binary64)) (-.f64 (*.f64 l (PI.f64)) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 200000000000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))) |
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 200000000000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))) |
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -5000000000000000014339392554976861624351030032307491891786714963455192826951136079841645978666612324808479156564299152005093968192740890223899883592402933027172967020052041660293849107704861024718326980908701245637596009600853559934996040535864898581843704726957456644770889728 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))) (if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -399583814440447/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))))) |
(if (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 F F) #s(literal -1 binary64)))) #s(literal -5000000000000000014339392554976861624351030032307491891786714963455192826951136079841645978666612324808479156564299152005093968192740890223899883592402933027172967020052041660293849107704861024718326980908701245637596009600853559934996040535864898581843704726957456644770889728 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))) (if (or (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 F F) #s(literal -1 binary64)))) #s(literal -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) (not (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 F F) #s(literal -1 binary64)))) #s(literal -399583814440447/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F))))))) |
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -5000000000000000014339392554976861624351030032307491891786714963455192826951136079841645978666612324808479156564299152005093968192740890223899883592402933027172967020052041660293849107704861024718326980908701245637596009600853559934996040535864898581843704726957456644770889728 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) (if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -399583814440447/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))))) |
(if (or (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 F F) #s(literal -1 binary64)))) #s(literal -5000000000000000014339392554976861624351030032307491891786714963455192826951136079841645978666612324808479156564299152005093968192740890223899883592402933027172967020052041660293849107704861024718326980908701245637596009600853559934996040535864898581843704726957456644770889728 binary64)) (not (or (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 F F) #s(literal -1 binary64)))) #s(literal -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) (not (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 F F) #s(literal -1 binary64)))) #s(literal -399583814440447/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) |
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1427 |
| 1 | 432 | 1349 |
| 2 | 1504 | 1209 |
| 3 | 7061 | 1170 |
| 0 | 8390 | 1145 |
| 0 | 57 | 319 |
| 0 | 91 | 315 |
| 1 | 352 | 295 |
| 2 | 3076 | 295 |
| 0 | 8267 | 288 |
| 0 | 398 | 7771 |
| 1 | 1251 | 7468 |
| 2 | 4592 | 6777 |
| 0 | 8648 | 6552 |
| 0 | 75 | 530 |
| 0 | 122 | 534 |
| 1 | 466 | 492 |
| 2 | 3950 | 492 |
| 0 | 8241 | 478 |
| 0 | 10 | 37 |
| 0 | 17 | 37 |
| 1 | 70 | 31 |
| 2 | 470 | 31 |
| 3 | 6677 | 31 |
| 0 | 8201 | 31 |
| 0 | 289 | 6190 |
| 1 | 862 | 5840 |
| 2 | 3275 | 5592 |
| 0 | 8171 | 5431 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 430 to 206 computations (52.1% saved)
(abs F)
Compiled 758 to 276 computations (63.6% saved)
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