
Time bar (total: 8.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 5 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 6 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 8 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 9 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 10 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 11 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 17 to 9 computations (47.1% saved)
| 601.0ms | 8 256× | 0 | valid |
ival-tan: 212.0ms (48.5% of total)ival-mult: 69.0ms (15.8% of total)ival-div: 54.0ms (12.3% of total)ival-sub: 45.0ms (10.3% of total)ival-add: 42.0ms (9.6% of total)ival-true: 6.0ms (1.4% of total)exact: 5.0ms (1.1% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (tan.f64 x) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 1 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 40.0ms | 512× | 0 | valid |
Compiled 133 to 32 computations (75.9% saved)
ival-tan: 13.0ms (49.2% of total)ival-mult: 4.0ms (15.1% of total)ival-sub: 3.0ms (11.4% of total)ival-div: 3.0ms (11.4% of total)ival-add: 3.0ms (11.4% of total)ival-true: 1.0ms (3.8% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 39 |
| 1 | 31 | 30 |
| 2 | 64 | 30 |
| 3 | 165 | 30 |
| 4 | 383 | 30 |
| 5 | 714 | 30 |
| 6 | 1303 | 30 |
| 7 | 1754 | 30 |
| 8 | 2899 | 30 |
| 9 | 4148 | 30 |
| 10 | 5113 | 30 |
| 11 | 6330 | 30 |
| 12 | 7186 | 30 |
| 13 | 7657 | 30 |
| 14 | 7901 | 30 |
| 15 | 7971 | 30 |
| 0 | 7 | 15 |
| 0 | 12 | 15 |
| 1 | 23 | 15 |
| 2 | 34 | 15 |
| 3 | 53 | 15 |
| 4 | 92 | 15 |
| 5 | 155 | 15 |
| 6 | 254 | 15 |
| 7 | 565 | 15 |
| 8 | 1249 | 15 |
| 9 | 2973 | 15 |
| 10 | 4326 | 15 |
| 11 | 5404 | 15 |
| 12 | 6158 | 15 |
| 13 | 6507 | 15 |
| 14 | 6636 | 15 |
| 15 | 6697 | 15 |
| 16 | 7563 | 15 |
| 0 | 8150 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) |
(abs x)
Compiled 15 to 7 computations (53.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
Compiled 15 to 7 computations (53.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 38 |
| 0 | 12 | 38 |
| 1 | 23 | 38 |
| 2 | 34 | 38 |
| 3 | 53 | 38 |
| 4 | 92 | 38 |
| 5 | 155 | 38 |
| 6 | 254 | 38 |
| 7 | 565 | 38 |
| 8 | 1249 | 38 |
| 9 | 2973 | 38 |
| 10 | 4326 | 38 |
| 11 | 5404 | 38 |
| 12 | 6158 | 38 |
| 13 | 6507 | 38 |
| 14 | 6636 | 38 |
| 15 | 6697 | 38 |
| 16 | 7563 | 38 |
| 0 | 8150 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(tan.f64 x) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(tan.f64 x) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) | |
| accuracy | 0.14284636208351761 | (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) | |
| accuracy | 0.15625 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| accuracy | 0.27734375 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 34.0ms | 256× | 0 | valid |
Compiled 78 to 16 computations (79.5% saved)
ival-tan: 6.0ms (42.1% of total)ival-add: 3.0ms (21.1% of total)ival-div: 2.0ms (14% of total)ival-mult: 2.0ms (14% of total)ival-sub: 1.0ms (7% 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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor inf x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (sin x) 2) (pow (cos x) 2)) (taylor -inf x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ 1 (* (tan x) (tan x))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x))) |
| 2.0ms | x | @ | inf | ((+ 1 (* (tan x) (tan x))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x))) |
| 1.0ms | x | @ | 0 | ((+ 1 (* (tan x) (tan x))) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 603 |
| 1 | 151 | 602 |
| 2 | 409 | 588 |
| 3 | 1148 | 588 |
| 4 | 2136 | 588 |
| 5 | 3911 | 588 |
| 6 | 5280 | 588 |
| 0 | 8018 | 567 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/45 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
(neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/45 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/45 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (*.f64 x x))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 34 |
| 0 | 12 | 29 |
| 1 | 51 | 29 |
| 2 | 359 | 29 |
| 3 | 5062 | 17 |
| 0 | 10307 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 13 356 to 1 023 computations (92.3% saved)
34 alts after pruning (34 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 445 | 34 | 479 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 446 | 34 | 480 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ▶ | 99.5% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 99.5% | (/.f64 (fma.f64 (sin.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.2% | (/.f64 (/.f64 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.2% | (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.5% | (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ▶ | 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ▶ | 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
| 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) | |
| 99.2% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))) | |
| 99.2% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) | |
| ▶ | 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
| 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) | |
| 58.2% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) | |
| 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.2% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 49.0% | #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| 49.0% | #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| 49.2% | #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| 99.5% | #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) | |
| ▶ | 54.0% | #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
Compiled 1 550 to 846 computations (45.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 x) | |
| cost-diff | 0 | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) | |
| cost-diff | 128 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 6080 | (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (tan.f64 x) | |
| cost-diff | 0 | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 266 |
| 0 | 60 | 266 |
| 1 | 98 | 266 |
| 2 | 147 | 264 |
| 3 | 259 | 264 |
| 4 | 583 | 260 |
| 5 | 1216 | 260 |
| 6 | 3477 | 260 |
| 7 | 5806 | 260 |
| 8 | 7010 | 260 |
| 9 | 7434 | 260 |
| 10 | 7573 | 260 |
| 11 | 7645 | 260 |
| 12 | 7662 | 260 |
| 13 | 7662 | 260 |
| 14 | 7680 | 260 |
| 15 | 7680 | 260 |
| 16 | 7680 | 260 |
| 0 | 8076 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
(tan.f64 x) |
x |
(neg.f64 (tan.f64 x)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(pow.f64 (tan.f64 x) #s(literal -1 binary64)) |
(tan.f64 x) |
x |
#s(literal -1 binary64) |
#s(literal -2 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(tan.f64 x) |
x |
(fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (tan.f64 x)) |
(sin.f64 x) |
(pow.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
#s(literal -1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(tan.f64 x) |
x |
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) |
(pow.f64 (tan.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) |
(tan.f64 x) |
x |
(neg.f64 (tan.f64 x)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(pow.f64 (tan.f64 x) #s(literal -1 binary64)) |
(tan.f64 x) |
x |
#s(literal -1 binary64) |
#s(literal -2 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(tan.f64 x) |
x |
(fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (tan.f64 x)) |
(sin.f64 x) |
(pow.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
#s(literal -1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(tan.f64 x) |
x |
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) |
(pow.f64 (tan.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20370001923805559 | (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0.27734375 | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| accuracy | 0.29284145463015115 | (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) | |
| accuracy | 0.4634516114323549 | (pow.f64 (tan.f64 x) #s(literal 4 binary64)) | |
| accuracy | 0.1171875 | (*.f64 (sin.f64 x) (tan.f64 x)) | |
| accuracy | 0.14284636208351761 | (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) | |
| accuracy | 0.15625 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.27734375 | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| accuracy | 0.15625 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| accuracy | 0.16796875 | (pow.f64 (tan.f64 x) #s(literal -1 binary64)) | |
| accuracy | 0.27734375 | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| accuracy | 0.42939379884221013 | (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) | |
| accuracy | 29.420049396535017 | #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) | |
| accuracy | 0.046875 | (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) | |
| accuracy | 0.15625 | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| accuracy | 0.27734375 | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| accuracy | 0.29284145463015115 | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
| 84.0ms | 256× | 0 | valid |
Compiled 528 to 62 computations (88.3% saved)
ival-pow: 18.0ms (27.8% of total)ival-div: 9.0ms (13.9% of total)ival-tan: 8.0ms (12.4% of total)ival-mult: 7.0ms (10.8% of total)ival-sin: 6.0ms (9.3% of total)ival-add: 5.0ms (7.7% of total)ival-cos: 5.0ms (7.7% of total)ival-sub: 4.0ms (6.2% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) (patch #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) (tan.f64 x)) (patch (*.f64 (sin.f64 x) (tan.f64 x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (patch (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (patch (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | ((+ 1 (* (tan x) (tan x))) (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (tan x) (neg (tan x))) 1) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (- 1 (pow (pow (tan x) -1) -2)) (pow (pow (tan x) -1) -2) (+ (* (* (sin x) (tan x)) (pow (cos x) -1)) 1) (/ (- 1 (* (tan x) (tan x))) (+ (* (* (sin x) (tan x)) (pow (cos x) -1)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (- (/ (pow (tan x) 4) (+ (* (tan x) (tan x)) -1)) (pow (+ (* (tan x) (tan x)) -1) -1))) (pow (tan x) -1) (* (sin x) (tan x)) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1) (- (/ (pow (tan x) 4) (+ (* (tan x) (tan x)) -1)) (pow (+ (* (tan x) (tan x)) -1) -1))) |
| 6.0ms | x | @ | -inf | ((+ 1 (* (tan x) (tan x))) (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (tan x) (neg (tan x))) 1) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (- 1 (pow (pow (tan x) -1) -2)) (pow (pow (tan x) -1) -2) (+ (* (* (sin x) (tan x)) (pow (cos x) -1)) 1) (/ (- 1 (* (tan x) (tan x))) (+ (* (* (sin x) (tan x)) (pow (cos x) -1)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (- (/ (pow (tan x) 4) (+ (* (tan x) (tan x)) -1)) (pow (+ (* (tan x) (tan x)) -1) -1))) (pow (tan x) -1) (* (sin x) (tan x)) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1) (- (/ (pow (tan x) 4) (+ (* (tan x) (tan x)) -1)) (pow (+ (* (tan x) (tan x)) -1) -1))) |
| 2.0ms | x | @ | 0 | ((+ 1 (* (tan x) (tan x))) (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (tan x) (tan x)))) (+ (* (tan x) (neg (tan x))) 1) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (- 1 (pow (pow (tan x) -1) -2)) (pow (pow (tan x) -1) -2) (+ (* (* (sin x) (tan x)) (pow (cos x) -1)) 1) (/ (- 1 (* (tan x) (tan x))) (+ (* (* (sin x) (tan x)) (pow (cos x) -1)) 1)) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (- (/ (pow (tan x) 4) (+ (* (tan x) (tan x)) -1)) (pow (+ (* (tan x) (tan x)) -1) -1))) (pow (tan x) -1) (* (sin x) (tan x)) (pow (tan x) 4) (+ (* (tan x) (tan x)) -1) (- (/ (pow (tan x) 4) (+ (* (tan x) (tan x)) -1)) (pow (+ (* (tan x) (tan x)) -1) -1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 3051 |
| 1 | 404 | 3048 |
| 2 | 1129 | 2996 |
| 3 | 3659 | 2996 |
| 4 | 5016 | 2990 |
| 5 | 6451 | 2990 |
| 0 | 8041 | 2891 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(/ 1 x) |
(/ (+ 1 (* -1/3 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/6 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2)))))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* 4/3 (pow x 2)))) |
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2)))))) |
(* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2)))))))) |
-1 |
(- (pow x 2) 1) |
(- (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) 1) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))) |
(/ (cos x) (sin x)) |
(/ (cos x) (sin x)) |
(/ (cos x) (sin x)) |
(/ (cos x) (sin x)) |
(/ (pow (sin x) 2) (cos x)) |
(/ (pow (sin x) 2) (cos x)) |
(/ (pow (sin x) 2) (cos x)) |
(/ (pow (sin x) 2) (cos x)) |
(/ (pow (sin x) 4) (pow (cos x) 4)) |
(/ (pow (sin x) 4) (pow (cos x) 4)) |
(/ (pow (sin x) 4) (pow (cos x) 4)) |
(/ (pow (sin x) 4) (pow (cos x) 4)) |
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) |
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) |
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) |
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) |
(- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) |
(- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) |
(- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) |
(- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))) |
(/ (cos x) (sin x)) |
(/ (cos x) (sin x)) |
(/ (cos x) (sin x)) |
(/ (cos x) (sin x)) |
(/ (pow (sin x) 2) (cos x)) |
(/ (pow (sin x) 2) (cos x)) |
(/ (pow (sin x) 2) (cos x)) |
(/ (pow (sin x) 2) (cos x)) |
(/ (pow (sin x) 4) (pow (cos x) 4)) |
(/ (pow (sin x) 4) (pow (cos x) 4)) |
(/ (pow (sin x) 4) (pow (cos x) 4)) |
(/ (pow (sin x) 4) (pow (cos x) 4)) |
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) |
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) |
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) |
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) |
(- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) |
(- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) |
(- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) |
(- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
(fma.f64 (neg.f64 x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -17/45 binary64) (*.f64 x x) #s(literal -2/3 binary64)) #s(literal 1 binary64))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
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(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
(/ (cos x) (sin x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/ (cos x) (sin x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/ (cos x) (sin x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/ (cos x) (sin x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/ (pow (sin x) 2) (cos x)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) |
(/ (pow (sin x) 2) (cos x)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) |
(/ (pow (sin x) 2) (cos x)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) |
(/ (pow (sin x) 2) (cos x)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) |
(/ (pow (sin x) 4) (pow (cos x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) |
(/ (pow (sin x) 4) (pow (cos x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) |
(/ (pow (sin x) 4) (pow (cos x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) |
(/ (pow (sin x) 4) (pow (cos x) 4)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) |
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) |
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) |
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) |
(- (/ (pow (sin x) 2) (pow (cos x) 2)) 1) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) |
(- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(- (/ (pow (sin x) 4) (* (pow (cos x) 4) (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) (/ 1 (- (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 187 |
| 0 | 60 | 132 |
| 1 | 220 | 132 |
| 2 | 1648 | 132 |
| 0 | 9110 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
(tan.f64 x) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(pow.f64 (tan.f64 x) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (tan.f64 x)) |
(pow.f64 (tan.f64 x) #s(literal 4 binary64)) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
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Compiled 146 613 to 5 769 computations (96.1% saved)
45 alts after pruning (44 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 996 | 36 | 4 032 |
| Fresh | 21 | 8 | 29 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 4 021 | 45 | 4 066 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) | |
| 99.3% | (fma.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) | |
| 99.2% | (fma.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) | |
| 99.4% | (/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.4% | (/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))) | |
| 99.4% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64))) | |
| 99.3% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) | |
| 99.3% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))) | |
| ▶ | 99.5% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
| 99.3% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| 72.7% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64)))) | |
| ▶ | 99.4% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)))) |
| 49.7% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)))) | |
| 99.3% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| 99.3% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) | |
| 58.2% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) | |
| 99.5% | (/.f64 (fma.f64 (sin.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.5% | (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) | |
| 72.6% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 72.7% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 58.2% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 54.7% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (tan.f64 x) #s(literal 1 binary64)))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) | |
| 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) | |
| 58.2% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (- (/ (pow (tan x) 4) (+ (* (tan x) (tan x)) -1)) (pow (+ (* (tan x) (tan x)) -1) -1)) #s(literal 1 binary64))) | |
| 99.3% | (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 99.3% | (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| ▶ | 99.5% | (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| ▶ | 99.3% | (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) |
| 49.0% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| 49.0% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| ▶ | 49.2% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
| ✓ | 54.0% | #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
Compiled 1 842 to 1 087 computations (41% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 x) | |
| cost-diff | 0 | (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 19648 | (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x))) | |
| cost-diff | 256 | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) | |
| cost-diff | 448 | (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 256 | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| cost-diff | 448 | (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 (tan.f64 x)) | |
| cost-diff | 0 | (tan.f64 x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 256 | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 273 |
| 0 | 72 | 257 |
| 1 | 128 | 241 |
| 2 | 245 | 232 |
| 3 | 658 | 232 |
| 4 | 1279 | 232 |
| 5 | 2441 | 232 |
| 6 | 4766 | 232 |
| 7 | 5892 | 232 |
| 8 | 6215 | 232 |
| 9 | 6299 | 232 |
| 10 | 6325 | 232 |
| 11 | 6329 | 232 |
| 12 | 7657 | 232 |
| 0 | 8175 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
(tan.f64 x) |
x |
(neg.f64 (tan.f64 x)) |
#s(literal 1 binary64) |
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) |
(+.f64 (tan.f64 x) #s(literal 1 binary64)) |
(tan.f64 x) |
x |
#s(literal 1 binary64) |
(neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64))) |
(-.f64 (tan.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)))) |
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
(tan.f64 x) |
x |
(neg.f64 (tan.f64 x)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) |
(pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) |
(tan.f64 x) |
x |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) |
(pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(tan.f64 x) |
x |
(neg.f64 (tan.f64 x)) |
#s(literal 1 binary64) |
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) |
(pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(+.f64 (tan.f64 x) #s(literal 1 binary64)) |
(-.f64 (tan.f64 x) #s(literal -1 binary64)) |
(tan.f64 x) |
x |
#s(literal 1 binary64) |
(neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (tan.f64 x)) |
(-.f64 (tan.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x) #s(literal 1 binary64))) |
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(tan.f64 x) |
x |
(neg.f64 (tan.f64 x)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x))) |
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
(/.f64 #s(literal -1 binary64) (cos.f64 x)) |
(neg.f64 (cos.f64 x)) |
(cos.f64 x) |
(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) |
(tan.f64 x) |
x |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) |
(pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) | |
| accuracy | 0.1796875 | (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0.27734375 | (pow.f64 (tan.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.3175750313218253 | (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) | |
| accuracy | 0.15625 | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)))) | |
| accuracy | 0.20703125 | (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) | |
| accuracy | 0.27734375 | (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)) | |
| accuracy | 0.29284145463015115 | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) | |
| accuracy | 0.16724133277819153 | (+.f64 (tan.f64 x) #s(literal 1 binary64)) | |
| accuracy | 0.1858151120835176 | (-.f64 (tan.f64 x) #s(literal 1 binary64)) | |
| accuracy | 0.19921875 | (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) | |
| accuracy | 0.27734375 | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| accuracy | 0 | (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 32.53537208451005 | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.046875 | (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0.15625 | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0.27734375 | (pow.f64 (tan.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.29284145463015115 | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
| 104.0ms | 256× | 0 | valid |
Compiled 535 to 75 computations (86% saved)
ival-add: 11.0ms (14.9% of total)ival-mult: 11.0ms (14.9% of total)ival-div: 10.0ms (13.6% of total)ival-pow: 9.0ms (12.2% of total)ival-tan: 7.0ms (9.5% of total)ival-sin: 6.0ms (8.1% of total)ival-sub: 6.0ms (8.1% of total)ival-cos: 6.0ms (8.1% of total)ival-neg: 5.0ms (6.8% of total)ival-pow2: 3.0ms (4.1% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ()) |
#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (patch (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64))) (patch (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (patch (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (patch (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (patch (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 x) #s(literal 1 binary64)) (patch (-.f64 (tan.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (tan.f64 x) #s(literal 1 binary64)) (patch (+.f64 (tan.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)) (patch (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (patch (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) (taylor 0 x) (#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1/3 (pow x 2)) 1)) (taylor 0 x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)) (taylor 0 x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1)) (taylor 0 x) (#s(alt (neg.f64 (tan.f64 x)) (patch (neg.f64 (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | inf | ((+ (* (tan x) (neg (tan x))) 1) (/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) (tan x) (neg (tan x)) (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* x x) (* (+ (tan x) 1) (neg (- (tan x) 1))) (* (tan x) (tan x)) (neg (- (tan x) 1)) (/ (* (+ (tan x) 1) (neg (- (tan x) 1))) (+ 1 (* (tan x) (tan x)))) (* (neg (sin x)) (/ 1 (neg (cos x)))) (+ 1 (* (* (neg (sin x)) (/ 1 (neg (cos x)))) (tan x))) (/ 1 (neg (cos x))) (- (pow (+ (* (tan x) (tan x)) 1) -1) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1))) (pow (+ (* (tan x) (tan x)) 1) -1) (+ (* (tan x) (tan x)) 1) (pow (tan x) 2) (- (pow (tan x) 2) -1) (- (tan x) 1) (+ (tan x) 1) (* (* (neg (sin x)) (/ 1 (neg (cos x)))) (tan x)) (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (* (neg (sin x)) (/ 1 (neg (cos x)))) (tan x)))) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1))) |
| 5.0ms | x | @ | -inf | ((+ (* (tan x) (neg (tan x))) 1) (/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) (tan x) (neg (tan x)) (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* x x) (* (+ (tan x) 1) (neg (- (tan x) 1))) (* (tan x) (tan x)) (neg (- (tan x) 1)) (/ (* (+ (tan x) 1) (neg (- (tan x) 1))) (+ 1 (* (tan x) (tan x)))) (* (neg (sin x)) (/ 1 (neg (cos x)))) (+ 1 (* (* (neg (sin x)) (/ 1 (neg (cos x)))) (tan x))) (/ 1 (neg (cos x))) (- (pow (+ (* (tan x) (tan x)) 1) -1) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1))) (pow (+ (* (tan x) (tan x)) 1) -1) (+ (* (tan x) (tan x)) 1) (pow (tan x) 2) (- (pow (tan x) 2) -1) (- (tan x) 1) (+ (tan x) 1) (* (* (neg (sin x)) (/ 1 (neg (cos x)))) (tan x)) (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (* (neg (sin x)) (/ 1 (neg (cos x)))) (tan x)))) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1))) |
| 2.0ms | x | @ | 0 | ((+ (* (tan x) (neg (tan x))) 1) (/ (+ (* (tan x) (neg (tan x))) 1) (- (pow (tan x) 2) -1)) (tan x) (neg (tan x)) (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* x x) (* (+ (tan x) 1) (neg (- (tan x) 1))) (* (tan x) (tan x)) (neg (- (tan x) 1)) (/ (* (+ (tan x) 1) (neg (- (tan x) 1))) (+ 1 (* (tan x) (tan x)))) (* (neg (sin x)) (/ 1 (neg (cos x)))) (+ 1 (* (* (neg (sin x)) (/ 1 (neg (cos x)))) (tan x))) (/ 1 (neg (cos x))) (- (pow (+ (* (tan x) (tan x)) 1) -1) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1))) (pow (+ (* (tan x) (tan x)) 1) -1) (+ (* (tan x) (tan x)) 1) (pow (tan x) 2) (- (pow (tan x) 2) -1) (- (tan x) 1) (+ (tan x) 1) (* (* (neg (sin x)) (/ 1 (neg (cos x)))) (tan x)) (/ (+ (* (tan x) (neg (tan x))) 1) (+ 1 (* (* (neg (sin x)) (/ 1 (neg (cos x)))) (tan x)))) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 3209 |
| 1 | 413 | 3205 |
| 2 | 1112 | 3127 |
| 3 | 3658 | 3071 |
| 4 | 5452 | 2791 |
| 5 | 7803 | 2791 |
| 0 | 8424 | 2671 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(* -1 x) |
(* x (- (* -1/3 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1)) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* -2 (pow x 2))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* -1/3 (pow x 2)) 1))) |
(+ 1 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
-1 |
(- (* -1/2 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/3 (pow x 2)))) 1) |
(- (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(* -1 (/ (sin x) (cos x))) |
(* -1 (/ (sin x) (cos x))) |
(* -1 (/ (sin x) (cos x))) |
(* -1 (/ (sin x) (cos x))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(- 1 (/ (sin x) (cos x))) |
(- 1 (/ (sin x) (cos x))) |
(- 1 (/ (sin x) (cos x))) |
(- 1 (/ (sin x) (cos x))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ -1 (cos x)) |
(/ -1 (cos x)) |
(/ -1 (cos x)) |
(/ -1 (cos x)) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- (/ (sin x) (cos x)) 1) |
(- (/ (sin x) (cos x)) 1) |
(- (/ (sin x) (cos x)) 1) |
(- (/ (sin x) (cos x)) 1) |
(+ 1 (/ (sin x) (cos x))) |
(+ 1 (/ (sin x) (cos x))) |
(+ 1 (/ (sin x) (cos x))) |
(+ 1 (/ (sin x) (cos x))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(* -1 (/ (sin x) (cos x))) |
(* -1 (/ (sin x) (cos x))) |
(* -1 (/ (sin x) (cos x))) |
(* -1 (/ (sin x) (cos x))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(- 1 (/ (sin x) (cos x))) |
(- 1 (/ (sin x) (cos x))) |
(- 1 (/ (sin x) (cos x))) |
(- 1 (/ (sin x) (cos x))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ -1 (cos x)) |
(/ -1 (cos x)) |
(/ -1 (cos x)) |
(/ -1 (cos x)) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- (/ (sin x) (cos x)) 1) |
(- (/ (sin x) (cos x)) 1) |
(- (/ (sin x) (cos x)) 1) |
(- (/ (sin x) (cos x)) 1) |
(+ 1 (/ (sin x) (cos x))) |
(+ 1 (/ (sin x) (cos x))) |
(+ 1 (/ (sin x) (cos x))) |
(+ 1 (/ (sin x) (cos x))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -17/45 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1/3 (pow x 2)) 1)) |
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)) |
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (neg.f64 x)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal -2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -17/45 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* -1/3 (pow x 2)) 1))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/45 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 (pow x 2)) 1) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1) |
(fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal -5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (neg.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/45 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/45 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* 1/3 (pow x 2)))) 1) |
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(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(* -1 (/ (sin x) (cos x))) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(* -1 (/ (sin x) (cos x))) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(* -1 (/ (sin x) (cos x))) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(* -1 (/ (sin x) (cos x))) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(- 1 (/ (sin x) (cos x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- 1 (/ (sin x) (cos x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- 1 (/ (sin x) (cos x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- 1 (/ (sin x) (cos x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(/ -1 (cos x)) |
(/.f64 #s(literal -1 binary64) (cos.f64 x)) |
(/ -1 (cos x)) |
(/.f64 #s(literal -1 binary64) (cos.f64 x)) |
(/ -1 (cos x)) |
(/.f64 #s(literal -1 binary64) (cos.f64 x)) |
(/ -1 (cos x)) |
(/.f64 #s(literal -1 binary64) (cos.f64 x)) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(- (/ (sin x) (cos x)) 1) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 1 binary64)) |
(- (/ (sin x) (cos x)) 1) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 1 binary64)) |
(- (/ (sin x) (cos x)) 1) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 1 binary64)) |
(- (/ (sin x) (cos x)) 1) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 1 binary64)) |
(+ 1 (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) |
(+ 1 (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) |
(+ 1 (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) |
(+ 1 (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 221 |
| 0 | 72 | 171 |
| 1 | 292 | 167 |
| 2 | 2101 | 165 |
| 0 | 8534 | 164 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(tan.f64 x) |
(neg.f64 (tan.f64 x)) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) |
(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) |
(pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) |
(pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(-.f64 (tan.f64 x) #s(literal 1 binary64)) |
(+.f64 (tan.f64 x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)))) |
(/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) |
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Compiled 91 383 to 5 549 computations (93.9% saved)
46 alts after pruning (43 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 248 | 29 | 3 277 |
| Fresh | 25 | 14 | 39 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 3 276 | 46 | 3 322 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| 99.4% | (/.f64 (fma.f64 (tan.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| ▶ | 99.4% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64))) |
| 99.3% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))) | |
| 72.7% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))) | |
| 99.4% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) | |
| ✓ | 99.5% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
| 99.3% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| 49.7% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)))) | |
| 99.3% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))) | |
| 58.2% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) | |
| 99.5% | (/.f64 (fma.f64 (sin.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 78.6% | (/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) | |
| 72.7% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 58.2% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) | |
| ▶ | 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
| 54.7% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (tan.f64 x) #s(literal 1 binary64)))) | |
| 58.2% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (- (/ (pow (tan x) 4) (+ (* (tan x) (tan x)) -1)) (pow (+ (* (tan x) (tan x)) -1) -1)) #s(literal 1 binary64))) | |
| 99.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (neg.f64 (tan.f64 x)) (cos.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| 99.5% | (/.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) | |
| 72.6% | (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 72.6% | (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| ▶ | 55.1% | (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 55.2% | (/.f64 (*.f64 #s(approx (+ (tan x) 1) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 #s(approx (+ (* (tan x) (neg (tan x))) 1) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| 54.4% | (/.f64 #s(approx (+ (* (tan x) (neg (tan x))) 1) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) | |
| ▶ | 99.3% | (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
| 99.5% | (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) | |
| 99.4% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (tan.f64 x))) | |
| 99.3% | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) | |
| 99.4% | (*.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) | |
| 49.0% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| 49.0% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| ✓ | 49.2% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
| 49.2% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) | |
| 48.7% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))) | |
| 48.7% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))) | |
| ▶ | 2.6% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
| ✓ | 54.0% | #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
Compiled 1 521 to 971 computations (36.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64))) | |
| cost-diff | 256 | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) | |
| cost-diff | 448 | (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (tan.f64 x) | |
| cost-diff | 0 | (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (+.f64 (tan.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| cost-diff | 128 | (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) | |
| cost-diff | 256 | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | (tan.f64 x) | |
| cost-diff | 0 | (pow.f64 (tan.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 278 |
| 0 | 80 | 272 |
| 1 | 140 | 272 |
| 2 | 214 | 265 |
| 3 | 378 | 265 |
| 4 | 651 | 265 |
| 5 | 1091 | 265 |
| 6 | 2063 | 265 |
| 7 | 3387 | 265 |
| 8 | 4901 | 265 |
| 9 | 5801 | 265 |
| 10 | 6339 | 265 |
| 11 | 6626 | 265 |
| 12 | 6702 | 265 |
| 13 | 6773 | 265 |
| 0 | 8388 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
(tan.f64 x) |
x |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
#s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) |
(+.f64 (tan.f64 x) #s(literal 1 binary64)) |
(tan.f64 x) |
x |
#s(literal 1 binary64) |
#s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) |
(tan.f64 x) |
x |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
#s(literal 2 binary64) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
(tan.f64 x) |
x |
(neg.f64 (tan.f64 x)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (cos.f64 x)) |
#s(literal -1 binary64) |
(cos.f64 x) |
(*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
(tan.f64 x) |
x |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
#s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
#s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)) (tan.f64 x) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) |
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) |
(fma.f64 #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)) (tan.f64 x) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) |
(+.f64 (tan.f64 x) #s(literal 1 binary64)) |
(-.f64 (tan.f64 x) #s(literal -1 binary64)) |
(tan.f64 x) |
x |
#s(literal 1 binary64) |
#s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) |
(tan.f64 x) |
x |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
#s(literal 2 binary64) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x) #s(literal 1 binary64))) |
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(tan.f64 x) |
x |
(neg.f64 (tan.f64 x)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (cos.f64 x)) |
#s(literal -1 binary64) |
(cos.f64 x) |
(*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (/.f64 #s(literal -1 binary64) (cos.f64 x)) | |
| accuracy | 0.1171875 | (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) | |
| accuracy | 0.15625 | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64))) | |
| accuracy | 0.29284145463015115 | (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) | |
| accuracy | 0.12109375 | (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) | |
| accuracy | 0.1796875 | (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0.224941259768442 | (pow.f64 (sin.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.3175750313218253 | (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) | |
| accuracy | 0.16724133277819153 | (+.f64 (tan.f64 x) #s(literal 1 binary64)) | |
| accuracy | 0.19921875 | (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) | |
| accuracy | 0.27734375 | (*.f64 (tan.f64 x) (tan.f64 x)) | |
| accuracy | 28.735049809973592 | #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (*.f64 #s(literal -2 binary64) (*.f64 x x)) | |
| accuracy | 30.3558633707424 | #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) | |
| accuracy | 32.53537208451005 | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) | |
| accuracy | 0.046875 | (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0.14284636208351761 | (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0.15625 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0.27734375 | (pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
| 95.0ms | 256× | 0 | valid |
Compiled 464 to 76 computations (83.6% saved)
ival-div: 11.0ms (15.4% of total)ival-mult: 11.0ms (15.4% of total)ival-pow: 9.0ms (12.6% of total)ival-add: 7.0ms (9.8% of total)ival-tan: 7.0ms (9.8% of total)ival-sin: 6.0ms (8.4% of total)ival-sub: 6.0ms (8.4% of total)ival-cos: 5.0ms (7% of total)ival-pow2: 5.0ms (7% of total)ival-neg: 3.0ms (4.2% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (patch #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (patch (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (patch (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (tan.f64 x) #s(literal 1 binary64)) (patch (+.f64 (tan.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (patch (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (patch (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)) (patch #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (patch (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 x)) (patch (/.f64 #s(literal -1 binary64) (cos.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (patch #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (patch #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (patch #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (patch #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 x) (tan.f64 x)) (patch (*.f64 (tan.f64 x) (tan.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (patch (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (patch (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (patch (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* -2 (* x x)) (* x x) (* (tan x) (tan x)) (* (+ (tan x) 1) (neg (- (tan x) 1))) (/ (* (+ (tan x) 1) (neg (- (tan x) 1))) (+ 1 (* (tan x) (tan x)))) (+ (tan x) 1) (- (pow (+ (* (tan x) (tan x)) 1) -1) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1))) (pow (+ (* (tan x) (tan x)) 1) -1) (+ (* (tan x) (tan x)) 1) (+ (* (/ -1 (cos x)) (* (neg (sin x)) (tan x))) 1) (+ (* (tan x) (neg (tan x))) 1) (/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (/ -1 (cos x)) (* (neg (sin x)) (tan x))) 1)) (- (pow (tan x) 2) -1) (neg (- (tan x) 1)) (pow (sin x) 2) (* (neg (sin x)) (tan x)) (/ -1 (cos x))) |
| 4.0ms | x | @ | -inf | ((/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* -2 (* x x)) (* x x) (* (tan x) (tan x)) (* (+ (tan x) 1) (neg (- (tan x) 1))) (/ (* (+ (tan x) 1) (neg (- (tan x) 1))) (+ 1 (* (tan x) (tan x)))) (+ (tan x) 1) (- (pow (+ (* (tan x) (tan x)) 1) -1) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1))) (pow (+ (* (tan x) (tan x)) 1) -1) (+ (* (tan x) (tan x)) 1) (+ (* (/ -1 (cos x)) (* (neg (sin x)) (tan x))) 1) (+ (* (tan x) (neg (tan x))) 1) (/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (/ -1 (cos x)) (* (neg (sin x)) (tan x))) 1)) (- (pow (tan x) 2) -1) (neg (- (tan x) 1)) (pow (sin x) 2) (* (neg (sin x)) (tan x)) (/ -1 (cos x))) |
| 1.0ms | x | @ | 0 | ((/ (- 1 (pow (tan x) 2)) (- (pow (tan x) 2) -1)) (- 1 (pow (tan x) 2)) (pow (tan x) 2) (tan x) (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (+ (* -2 (* x x)) 1) (* -2 (* x x)) (* x x) (* (tan x) (tan x)) (* (+ (tan x) 1) (neg (- (tan x) 1))) (/ (* (+ (tan x) 1) (neg (- (tan x) 1))) (+ 1 (* (tan x) (tan x)))) (+ (tan x) 1) (- (pow (+ (* (tan x) (tan x)) 1) -1) (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1))) (pow (+ (* (tan x) (tan x)) 1) -1) (+ (* (tan x) (tan x)) 1) (+ (* (/ -1 (cos x)) (* (neg (sin x)) (tan x))) 1) (+ (* (tan x) (neg (tan x))) 1) (/ (+ (* (tan x) (neg (tan x))) 1) (+ (* (/ -1 (cos x)) (* (neg (sin x)) (tan x))) 1)) (- (pow (tan x) 2) -1) (neg (- (tan x) 1)) (pow (sin x) 2) (* (neg (sin x)) (tan x)) (/ -1 (cos x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 2984 |
| 1 | 427 | 2979 |
| 2 | 1148 | 2913 |
| 3 | 3840 | 2913 |
| 4 | 5710 | 2713 |
| 0 | 8147 | 2605 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* -2 (pow x 2))) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
1 |
(+ 1 (* -2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* -1/3 (pow x 2)) 1))) |
(+ 1 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1/6 (pow x 2)) 1)) |
(* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1)) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1)) |
-1 |
(- (* -1/2 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (/ (sin x) (cos x))) |
(+ 1 (/ (sin x) (cos x))) |
(+ 1 (/ (sin x) (cos x))) |
(+ 1 (/ (sin x) (cos x))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (sin x) (cos x))) |
(- 1 (/ (sin x) (cos x))) |
(- 1 (/ (sin x) (cos x))) |
(- 1 (/ (sin x) (cos x))) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(/ -1 (cos x)) |
(/ -1 (cos x)) |
(/ -1 (cos x)) |
(/ -1 (cos x)) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (/ (sin x) (cos x))) |
(+ 1 (/ (sin x) (cos x))) |
(+ 1 (/ (sin x) (cos x))) |
(+ 1 (/ (sin x) (cos x))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(- (/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ 1 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(- 1 (/ (sin x) (cos x))) |
(- 1 (/ (sin x) (cos x))) |
(- 1 (/ (sin x) (cos x))) |
(- 1 (/ (sin x) (cos x))) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(pow (sin x) 2) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(/ -1 (cos x)) |
(/ -1 (cos x)) |
(/ -1 (cos x)) |
(/ -1 (cos x)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -17/45 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2/3 (pow x 2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) |
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(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
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#s(literal 1 binary64) |
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(* -1 (pow x 2)) |
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(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1)) |
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#s(literal -1 binary64) |
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(* (pow x 2) (- (/ 1 (pow x 2)) 2)) |
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(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/ (+ 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) |
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) |
(- 1 (/ (sin x) (cos x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- 1 (/ (sin x) (cos x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- 1 (/ (sin x) (cos x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- 1 (/ (sin x) (cos x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (cos.f64 x))) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) |
(* -1 (/ (pow (sin x) 2) (cos x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) |
(/ -1 (cos x)) |
(/.f64 #s(literal -1 binary64) (cos.f64 x)) |
(/ -1 (cos x)) |
(/.f64 #s(literal -1 binary64) (cos.f64 x)) |
(/ -1 (cos x)) |
(/.f64 #s(literal -1 binary64) (cos.f64 x)) |
(/ -1 (cos x)) |
(/.f64 #s(literal -1 binary64) (cos.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 222 |
| 0 | 80 | 203 |
| 1 | 307 | 203 |
| 2 | 1946 | 194 |
| 0 | 8989 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
(tan.f64 x) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
#s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(+.f64 (tan.f64 x) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) |
(/.f64 #s(literal -1 binary64) (cos.f64 x)) |
| Outputs |
|---|
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Compiled 43 701 to 3 454 computations (92.1% saved)
48 alts after pruning (43 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 770 | 19 | 1 789 |
| Fresh | 14 | 24 | 38 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 787 | 48 | 1 835 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| 99.4% | (/.f64 (fma.f64 (tan.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| 99.3% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))) | |
| 72.7% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))) | |
| ✓ | 99.5% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
| 99.3% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) | |
| 99.3% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))) | |
| 58.2% | (/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) | |
| 99.5% | (/.f64 (fma.f64 (sin.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 78.6% | (/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) | |
| 58.2% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64))) | |
| 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) | |
| ✓ | 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
| 49.7% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(literal -1 binary64))) | |
| 58.2% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) | |
| 54.7% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (tan.f64 x) #s(literal 1 binary64)))) | |
| 99.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (neg.f64 (tan.f64 x)) (cos.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| 72.6% | (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 55.1% | (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) | |
| 49.2% | (/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 x x)))) | |
| 55.4% | (/.f64 (*.f64 (neg.f64 #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) | |
| 55.2% | (/.f64 (*.f64 #s(approx (+ (tan x) 1) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) | |
| 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)))) | |
| 99.4% | (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) | |
| 99.2% | (-.f64 (pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) | |
| 99.4% | (-.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) | |
| 53.8% | (-.f64 (pow.f64 #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) | |
| 99.3% | (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) | |
| 99.4% | (-.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) | |
| 49.1% | (-.f64 #s(approx (pow (+ (* (tan x) (tan x)) 1) -1) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) | |
| 54.4% | (-.f64 #s(approx (pow (+ (* (tan x) (tan x)) 1) -1) #s(literal 1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) | |
| 99.5% | (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) | |
| 99.4% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (tan.f64 x))) | |
| 99.4% | (*.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) | |
| 53.2% | (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)))) #s(literal -1 binary64))) | |
| 49.0% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| 49.0% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| ✓ | 49.2% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
| ✓ | 2.6% | #s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
| ✓ | 54.0% | #s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
Compiled 3 107 to 936 computations (69.9% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 x x)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(approx (pow (+ (* (tan x) (tan x)) 1) -1) #s(literal 1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (tan x) (neg (tan x))) 1) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (- (/ (pow (tan x) 4) (+ (* (tan x) (tan x)) -1)) (pow (+ (* (tan x) (tan x)) -1) -1)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) |
(-.f64 (pow.f64 #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (*.f64 #s(approx (+ (tan x) 1) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 #s(approx (pow (+ (* (tan x) (tan x)) 1) -1) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (tan.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64)))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (neg.f64 (tan.f64 x)) (cos.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (tan.f64 x)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) |
(-.f64 (pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 #s(approx (+ (* (tan x) (neg (tan x))) 1) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (sin.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (tan.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 12 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 8 binary64))) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))))) |
(/.f64 (/.f64 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| Outputs |
|---|
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
4 calls:
| 43.0ms | (tan.f64 x) |
| 32.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 31.0ms | x |
| 28.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 99.5% | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 99.5% | 1 | (tan.f64 x) |
Compiled 23 to 13 computations (43.5% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 x x)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(approx (pow (+ (* (tan x) (tan x)) 1) -1) #s(literal 1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (tan x) (neg (tan x))) 1) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (- (/ (pow (tan x) 4) (+ (* (tan x) (tan x)) -1)) (pow (+ (* (tan x) (tan x)) -1) -1)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) |
(-.f64 (pow.f64 #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (*.f64 #s(approx (+ (tan x) 1) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 #s(approx (pow (+ (* (tan x) (tan x)) 1) -1) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
4 calls:
| 11.0ms | (tan.f64 x) |
| 11.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 10.0ms | x |
| 10.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 99.5% | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 99.5% | 1 | (tan.f64 x) |
Compiled 23 to 13 computations (43.5% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 x x)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(approx (pow (+ (* (tan x) (tan x)) 1) -1) #s(literal 1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (tan x) (neg (tan x))) 1) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (- (/ (pow (tan x) 4) (+ (* (tan x) (tan x)) -1)) (pow (+ (* (tan x) (tan x)) -1) -1)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) |
(-.f64 (pow.f64 #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 (tan.f64 x) #s(literal 1 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(/.f64 (*.f64 #s(approx (+ (tan x) 1) #s(literal 1 binary64)) (neg.f64 (-.f64 (tan.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
(-.f64 #s(approx (pow (+ (* (tan x) (tan x)) 1) -1) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 #s(approx (pow (tan x) 2) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (tan x) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) |
(-.f64 (pow.f64 #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
4 calls:
| 9.0ms | (tan.f64 x) |
| 9.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 9.0ms | x |
| 8.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.2% | 1 | x |
| 59.9% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 59.9% | 2 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 58.2% | 1 | (tan.f64 x) |
Compiled 23 to 13 computations (43.5% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 x x)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(approx (pow (+ (* (tan x) (tan x)) 1) -1) #s(literal 1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (tan x) (neg (tan x))) 1) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) #s(approx (- (/ (pow (tan x) 4) (+ (* (tan x) (tan x)) -1)) (pow (+ (* (tan x) (tan x)) -1) -1)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (+ 1 (* (tan x) (tan x))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) |
2 calls:
| 7.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 6.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 58.2% | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
Compiled 20 to 10 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) #s(literal 1 binary64)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (*.f64 x x)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(-.f64 #s(approx (pow (+ (* (tan x) (tan x)) 1) -1) #s(literal 1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (tan x) (neg (tan x))) 1) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)))) |
4 calls:
| 5.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 5.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 5.0ms | (tan.f64 x) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.4% | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 55.4% | 1 | (tan.f64 x) |
| 55.4% | 1 | x |
| 55.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
Compiled 23 to 13 computations (43.5% saved)
Total -33.5b remaining (-114%)
Threshold costs -33.5b (-114%)
| Inputs |
|---|
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (pow (tan x) -1) -2)) (+ 1 (* (tan x) (tan x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
4 calls:
| 4.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 3.0ms | (tan.f64 x) |
| 3.0ms | (*.f64 (tan.f64 x) (tan.f64 x)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) |
| 54.0% | 1 | (tan.f64 x) |
| 54.0% | 1 | x |
| 54.0% | 1 | (*.f64 (tan.f64 x) (tan.f64 x)) |
Compiled 23 to 13 computations (43.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.577139596654389 | 1.7399856309936306 |
Compiled 14 to 11 computations (21.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 128 |
| 1 | 53 | 128 |
| 2 | 65 | 128 |
| 3 | 71 | 128 |
| 4 | 74 | 128 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 3602879701896397/2251799813685248 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) (-.f64 (pow.f64 #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 3602879701896397/2251799813685248 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) (-.f64 (pow.f64 #s(approx (+ (* (tan x) (tan x)) 1) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (/ (pow (tan x) 2) (+ (* (tan x) (tan x)) 1)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(approx (- (pow (tan x) 2) -1) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (neg (- (tan x) 1)) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) #s(literal 1 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 603 |
| 1 | 151 | 602 |
| 2 | 409 | 588 |
| 3 | 1148 | 588 |
| 4 | 2136 | 588 |
| 5 | 3911 | 588 |
| 6 | 5280 | 588 |
| 0 | 8018 | 567 |
| 0 | 49 | 222 |
| 0 | 80 | 203 |
| 1 | 307 | 203 |
| 2 | 1946 | 194 |
| 0 | 8989 | 190 |
| 0 | 41 | 221 |
| 0 | 72 | 171 |
| 1 | 292 | 167 |
| 2 | 2101 | 165 |
| 0 | 8534 | 164 |
| 0 | 168 | 3209 |
| 1 | 413 | 3205 |
| 2 | 1112 | 3127 |
| 3 | 3658 | 3071 |
| 4 | 5452 | 2791 |
| 5 | 7803 | 2791 |
| 0 | 8424 | 2671 |
| 0 | 177 | 2984 |
| 1 | 427 | 2979 |
| 2 | 1148 | 2913 |
| 3 | 3840 | 2913 |
| 4 | 5710 | 2713 |
| 0 | 8147 | 2605 |
| 0 | 7 | 34 |
| 0 | 12 | 29 |
| 1 | 51 | 29 |
| 2 | 359 | 29 |
| 3 | 5062 | 17 |
| 0 | 10307 | 17 |
| 0 | 34 | 187 |
| 0 | 60 | 132 |
| 1 | 220 | 132 |
| 2 | 1648 | 132 |
| 0 | 9110 | 132 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 640 to 256 computations (60% saved)
(abs x)
Compiled 212 to 94 computations (55.7% saved)
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