
Time bar (total: 7.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 3 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 4 |
| 87.5% | 21.8% | 3.1% | 75% | 0% | 0% | 0% | 5 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 6 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 7 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 8 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 9 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 10 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 11 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 1.1s | 8 256× | 0 | valid |
ival-sin: 213.0ms (32.3% of total)ival-cos: 165.0ms (25% of total)ival-mult: 107.0ms (16.2% of total)ival-<=: 51.0ms (7.7% of total)ival-add: 49.0ms (7.4% of total)ival-div: 48.0ms (7.3% of total)ival-and: 12.0ms (1.8% of total)exact: 12.0ms (1.8% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | e |
| 0 | 0 | - | 0 | - | (*.f64 e (cos.f64 v)) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (sin.f64 v) |
| 0 | 0 | - | 0 | - | (*.f64 e (sin.f64 v)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
| 0 | 0 | - | 0 | - | (cos.f64 v) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 59.0ms | 512× | 0 | valid |
Compiled 81 to 31 computations (61.7% saved)
ival-cos: 13.0ms (29.7% of total)ival-sin: 13.0ms (29.7% of total)ival-mult: 11.0ms (25.1% of total)ival-div: 3.0ms (6.9% of total)ival-add: 2.0ms (4.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 524× | times-frac |
| 318× | distribute-lft-neg-in |
| 308× | distribute-rgt-in |
| 302× | associate-*r* |
| 292× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 63 |
| 1 | 64 | 57 |
| 2 | 152 | 55 |
| 3 | 402 | 55 |
| 4 | 1000 | 55 |
| 5 | 1548 | 55 |
| 6 | 1723 | 55 |
| 7 | 1874 | 55 |
| 8 | 2030 | 55 |
| 9 | 2445 | 55 |
| 10 | 2540 | 55 |
| 11 | 2601 | 55 |
| 12 | 2653 | 55 |
| 13 | 2658 | 55 |
| 0 | 9 | 11 |
| 0 | 15 | 11 |
| 1 | 22 | 11 |
| 2 | 25 | 11 |
| 3 | 26 | 11 |
| 0 | 26 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(negabs v)
Compiled 13 to 9 computations (30.8% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 e (sin.f64 v)) | |
| cost-diff | 0 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
| 16× | lower-*.f32 |
| 12× | lower-*.f64 |
| 8× | *-commutative |
| 6× | lower-/.f32 |
| 4× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 0 | 15 | 32 |
| 1 | 22 | 32 |
| 2 | 25 | 32 |
| 3 | 26 | 32 |
| 0 | 26 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
#s(literal 1 binary64) |
(*.f64 e (cos.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
e |
(sin.f64 v) |
v |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 e (cos.f64 v)) |
(*.f64 (cos.f64 v) e) |
(cos.f64 v) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (sin.f64 v) | |
| accuracy | 0.01953125 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| accuracy | 0.10546875 | (*.f64 e (sin.f64 v)) | |
| accuracy | 0.140625 | (*.f64 e (cos.f64 v)) |
| 31.0ms | 256× | 0 | valid |
Compiled 34 to 11 computations (67.6% saved)
ival-cos: 10.0ms (45.7% of total)ival-sin: 6.0ms (27.4% of total)ival-mult: 3.0ms (13.7% of total)ival-div: 1.0ms (4.6% of total)ival-add: 1.0ms (4.6% 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 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ()) |
#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ()) |
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ()) |
#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 1 e) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ e (* -1/6 (* e (pow v 2))))) (taylor 0 v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) (taylor 0 v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt e (taylor 0 v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (+ e (* -1/2 (* e (pow v 2)))) (taylor 0 v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) (taylor 0 v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) (taylor 0 v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin v) (cos v)) (taylor inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) (taylor inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) (taylor inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | e | @ | 0 | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v))) |
| 2.0ms | v | @ | 0 | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v))) |
| 2.0ms | e | @ | inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v))) |
| 2.0ms | e | @ | -inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v))) |
| 1.0ms | v | @ | inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v))) |
| 1× | egg-herbie |
| 15 582× | lower-fma.f64 |
| 15 582× | lower-fma.f32 |
| 6 122× | lower-*.f64 |
| 6 122× | lower-*.f32 |
| 3 736× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 1153 |
| 1 | 554 | 1138 |
| 2 | 1582 | 1106 |
| 3 | 5266 | 1024 |
| 0 | 8387 | 956 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
| Outputs |
|---|
(+ 1 e) |
(+.f64 e #s(literal 1 binary64)) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 e #s(literal 1 binary64))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 e #s(literal 1 binary64))) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) e) e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) e) e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/5040 binary64)) (neg.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))))))) (*.f64 v v) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) e) e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v) |
(* e v) |
(*.f64 v e) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 (*.f64 e (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
1 |
#s(literal 1 binary64) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 (*.f64 (sin.f64 v) (fma.f64 (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) e #s(literal 1 binary64))) e) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) e (cos.f64 v))) (sin.f64 v)) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (*.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e)) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
| 5 798× | lower-fma.f64 |
| 5 798× | lower-fma.f32 |
| 4 350× | lower-/.f32 |
| 4 348× | lower-/.f64 |
| 3 988× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 15 | 27 |
| 1 | 42 | 27 |
| 2 | 241 | 27 |
| 3 | 2097 | 27 |
| 0 | 8370 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
(*.f64 e (cos.f64 v)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) |
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(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) e) |
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v))) |
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 e) (sin.f64 v))) |
(*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64)) |
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (*.f64 (sin.f64 v) #s(literal 1 binary64))) |
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v)))) |
(*.f64 e (sin.f64 v)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) |
(neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v))) |
(sin.f64 v) |
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v)))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e))) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64))) |
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(*.f64 (cos.f64 v) e) |
(*.f64 e (cos.f64 v)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 v) e))) |
Compiled 13 419 to 1 233 computations (90.8% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 438 | 12 | 450 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 439 | 12 | 451 |
| Status | Accuracy | Program |
|---|---|---|
| 72.8% | (pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 20.5% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| 98.9% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| ▶ | 99.6% | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
| 98.2% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) | |
| 99.6% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) | |
| 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) | |
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) |
| 48.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) | |
| ▶ | 99.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
| ▶ | 48.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
| ▶ | 98.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
Compiled 378 to 232 computations (38.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 v) | |
| cost-diff | 0 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) | |
| cost-diff | 384 | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) | |
| cost-diff | 0 | (neg.f64 e) | |
| cost-diff | 0 | (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) | |
| cost-diff | 0 | (+.f64 e #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 e (+.f64 e #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) | |
| cost-diff | 0 | (cos.f64 v) | |
| cost-diff | 0 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) |
| 1 544× | lower-fma.f32 |
| 1 540× | lower-fma.f64 |
| 1 112× | lower-*.f32 |
| 1 104× | lower-*.f64 |
| 708× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 179 |
| 0 | 42 | 178 |
| 1 | 70 | 174 |
| 2 | 116 | 174 |
| 3 | 214 | 174 |
| 4 | 483 | 174 |
| 5 | 760 | 174 |
| 6 | 999 | 174 |
| 7 | 1268 | 174 |
| 8 | 1470 | 174 |
| 9 | 1881 | 174 |
| 10 | 2622 | 174 |
| 11 | 3125 | 174 |
| 12 | 3164 | 174 |
| 13 | 3191 | 174 |
| 14 | 3211 | 174 |
| 15 | 3215 | 174 |
| 16 | 3215 | 174 |
| 0 | 3215 | 174 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
v |
e |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) |
(/.f64 e (+.f64 e #s(literal 1 binary64))) |
e |
(+.f64 e #s(literal 1 binary64)) |
#s(literal 1 binary64) |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
e |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
e |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(sin.f64 v) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
v |
e |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) |
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) |
(/.f64 e (+.f64 e #s(literal 1 binary64))) |
(/.f64 e (-.f64 e #s(literal -1 binary64))) |
e |
(+.f64 e #s(literal 1 binary64)) |
(-.f64 e #s(literal -1 binary64)) |
#s(literal 1 binary64) |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
e |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
e |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(sin.f64 v) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (cos.f64 v) | |
| accuracy | 0.0078125 | (sin.f64 v) | |
| accuracy | 0.12890625 | (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) | |
| accuracy | 0.16796875 | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) | |
| accuracy | 0.0078125 | (sin.f64 v) | |
| accuracy | 0.10546875 | (*.f64 (sin.f64 v) e) | |
| accuracy | 0.39403773614446685 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) | |
| accuracy | 0.0078125 | (sin.f64 v) | |
| accuracy | 0.10546875 | (*.f64 (sin.f64 v) e) | |
| accuracy | 1.111608023191012 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) | |
| accuracy | 0 | (+.f64 e #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) | |
| accuracy | 0.0234375 | (/.f64 e (+.f64 e #s(literal 1 binary64))) | |
| accuracy | 32.86170510125828 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) | |
| accuracy | 0.0078125 | (sin.f64 v) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.10546875 | (*.f64 (sin.f64 v) e) |
| 61.0ms | 256× | 0 | valid |
Compiled 164 to 25 computations (84.8% saved)
ival-sin: 13.0ms (28.6% of total)ival-mult: 11.0ms (24.2% of total)ival-div: 9.0ms (19.8% of total)ival-cos: 6.0ms (13.2% of total)ival-add: 5.0ms (11% of total)ival-neg: 2.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ()) |
#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ()) |
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ()) |
#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e (cos v)) (sin v)) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | v | @ | 0 | ((* (/ 1 (+ (* (cos v) e) 1)) (* (sin v) e)) (/ 1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v))) |
| 6.0ms | e | @ | 0 | ((* (/ 1 (+ (* (cos v) e) 1)) (* (sin v) e)) (/ 1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v))) |
| 3.0ms | v | @ | -inf | ((* (/ 1 (+ (* (cos v) e) 1)) (* (sin v) e)) (/ 1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v))) |
| 3.0ms | v | @ | inf | ((* (/ 1 (+ (* (cos v) e) 1)) (* (sin v) e)) (/ 1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v))) |
| 3.0ms | e | @ | -inf | ((* (/ 1 (+ (* (cos v) e) 1)) (* (sin v) e)) (/ 1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v))) |
| 1× | egg-herbie |
| 11 796× | lower-fma.f64 |
| 11 796× | lower-fma.f32 |
| 6 684× | lower-*.f64 |
| 6 684× | lower-*.f32 |
| 4 408× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 450 | 5396 |
| 1 | 1421 | 5228 |
| 2 | 4342 | 5131 |
| 0 | 8832 | 4851 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ 1 (+ 1 e)) |
(+ (* 1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e))) |
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
1 |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* e (* v (+ 1 (* -1 e)))) |
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(+ 1 (* -1 e)) |
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2))))) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (+ 1 e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ 1 (+ 1 (* e (cos v)))) |
(/ 1 (+ 1 (* e (cos v)))) |
(/ 1 (+ 1 (* e (cos v)))) |
(/ 1 (+ 1 (* e (cos v)))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ 1 (+ 1 (* e (cos v)))) |
(/ 1 (+ 1 (* e (cos v)))) |
(/ 1 (+ 1 (* e (cos v)))) |
(/ 1 (+ 1 (* e (cos v)))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
1 |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))) |
(+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
1 |
(+ 1 e) |
(+ 1 e) |
(+ 1 e) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
1 |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ 1 (sin v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ 1 (* e (cos v))) |
(/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e) |
(/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))) e) |
(/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4))))) e) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
1 |
(- 1 (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* e (cos v))) |
(* e (+ (* -1 (cos v)) (/ 1 e))) |
(* e (+ (* -1 (cos v)) (/ 1 e))) |
(* e (+ (* -1 (cos v)) (/ 1 e))) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ 1 (* e (cos v))) |
(* -1 (/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e)) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
1 |
(- 1 (/ 1 e)) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* e (cos v))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (* e (cos v)) (sin v)) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
| Outputs |
|---|
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(/ 1 (+ 1 e)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) |
(+ (* 1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e))) |
(fma.f64 (/.f64 (*.f64 (*.f64 v v) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))) |
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 e e) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/24 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 e (fma.f64 (/.f64 (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 e e)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/720 binary64) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 e e)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 e e)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))) |
(+ 1 e) |
(+.f64 #s(literal 1 binary64) e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow v 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
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(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e)) |
(/ 1 (* e (cos v))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(* -1 (/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e)) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) e) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)))) e) (/.f64 #s(literal 1 binary64) (cos.f64 v))) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e)) |
v |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 e)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e)) |
e |
(* e (+ 1 (/ 1 e))) |
(+.f64 #s(literal 1 binary64) e) |
(* e (+ 1 (/ 1 e))) |
(+.f64 #s(literal 1 binary64) e) |
(* e (+ 1 (/ 1 e))) |
(+.f64 #s(literal 1 binary64) e) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e)) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e)) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(*.f64 (*.f64 (neg.f64 e) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(* -1 (* e (cos v))) |
(*.f64 (cos.f64 v) (neg.f64 e)) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e)) |
(/ (* e (cos v)) (sin v)) |
(*.f64 (cos.f64 v) (/.f64 e (sin.f64 v))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
| 5 026× | lower-fma.f32 |
| 5 022× | lower-fma.f64 |
| 3 940× | lower-*.f32 |
| 3 932× | lower-*.f64 |
| 3 042× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 142 |
| 0 | 42 | 136 |
| 1 | 153 | 136 |
| 2 | 914 | 134 |
| 0 | 9216 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) |
(/.f64 e (+.f64 e #s(literal 1 binary64))) |
(+.f64 e #s(literal 1 binary64)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)) (sin.f64 v)) |
(*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (sin.f64 v) e) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) |
(*.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(*.f64 (*.f64 e (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 e (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (neg.f64 (sin.f64 v))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e)) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
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(/.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) #s(literal -1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) (neg.f64 (sin.f64 v)))) |
(/.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) #s(literal -1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) #s(literal 1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) #s(literal 1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) (sin.f64 v))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 v) (neg.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (sin.f64 v) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) |
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 v) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 v)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) #s(literal -1 binary64))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v)))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (sin.f64 v))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) (neg.f64 (sin.f64 v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (sin.f64 v) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) |
(fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) |
(-.f64 (/.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (neg.f64 (sin.f64 v))) (/.f64 #s(literal -1 binary64) (sin.f64 v))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
Compiled 39 726 to 2 967 computations (92.5% saved)
35 alts after pruning (31 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 682 | 29 | 1 711 |
| Fresh | 5 | 2 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 688 | 35 | 1 723 |
| Status | Accuracy | Program |
|---|---|---|
| 92.8% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))) | |
| 65.9% | (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))) | |
| ▶ | 98.9% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
| 99.6% | (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) | |
| 74.2% | (/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))) | |
| 97.9% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) | |
| 72.7% | (/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))) | |
| 49.9% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 49.9% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 48.6% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) | |
| ▶ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) |
| 98.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e)) | |
| 96.3% | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64))) | |
| 48.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))) | |
| ▶ | 47.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
| 47.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))) | |
| ✓ | 99.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
| 20.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v)) | |
| 42.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) | |
| ✓ | 48.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
| 48.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v)) | |
| ✓ | 98.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) | |
| 48.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 98.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) | |
| 47.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) | |
| 47.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) | |
| ▶ | 47.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) | |
| 48.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) | |
| 48.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) | |
| ▶ | 47.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
| 47.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) | |
| 47.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
Compiled 1 049 to 576 computations (45.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 e (sin.f64 v)) | |
| cost-diff | 0 | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (+.f64 e #s(literal 1 binary64)) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) | |
| cost-diff | 384 | (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) | |
| cost-diff | 0 | #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) | |
| cost-diff | 0 | (*.f64 v e) | |
| cost-diff | 0 | #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) | |
| cost-diff | 0 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 6 710× | associate-*r/ |
| 5 426× | lower-/.f32 |
| 5 416× | lower-/.f64 |
| 4 696× | lower-*.f32 |
| 4 684× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 224 |
| 0 | 54 | 219 |
| 1 | 81 | 219 |
| 2 | 106 | 215 |
| 3 | 134 | 211 |
| 4 | 197 | 211 |
| 5 | 235 | 211 |
| 6 | 277 | 211 |
| 7 | 368 | 211 |
| 8 | 464 | 211 |
| 9 | 551 | 211 |
| 10 | 838 | 211 |
| 11 | 2664 | 211 |
| 12 | 3318 | 211 |
| 13 | 3538 | 211 |
| 14 | 3564 | 211 |
| 15 | 3564 | 211 |
| 16 | 3564 | 211 |
| 17 | 3605 | 211 |
| 18 | 3617 | 211 |
| 19 | 3619 | 211 |
| 20 | 3629 | 211 |
| 21 | 3629 | 211 |
| 22 | 3629 | 211 |
| 23 | 3629 | 211 |
| 24 | 3629 | 211 |
| 0 | 8710 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(sin.f64 v) |
v |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
e |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) |
(*.f64 v e) |
v |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) |
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) |
(/.f64 (+.f64 e #s(literal 1 binary64)) e) |
(+.f64 e #s(literal 1 binary64)) |
e |
v |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) |
(+.f64 e #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(sin.f64 v) |
v |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
e |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v))) |
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) |
#s(approx (* (/ e (+ e 1)) v) (*.f64 e v)) |
(*.f64 v e) |
(*.f64 e v) |
v |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e)) |
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) |
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e) |
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) |
(*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) |
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)) |
(/.f64 (+.f64 e #s(literal 1 binary64)) e) |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(+.f64 e #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) e) |
e |
v |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(+.f64 e #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (sin.f64 v) | |
| accuracy | 0.01953125 | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| accuracy | 0.10546875 | (*.f64 e (sin.f64 v)) | |
| accuracy | 0.5706460435420222 | #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) | |
| accuracy | 0.01953125 | (/.f64 (+.f64 e #s(literal 1 binary64)) e) | |
| accuracy | 0.234375 | (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) | |
| accuracy | 1.1683490902185016 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)) | |
| accuracy | 32.86170510125828 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) | |
| accuracy | 0.10546875 | (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) | |
| accuracy | 0.109375 | (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) | |
| accuracy | 1.111608023191012 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) | |
| accuracy | 33.207762054397655 | #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) | |
| accuracy | 0 | (*.f64 v e) | |
| accuracy | 1.1267040383388884 | #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) | |
| accuracy | 32.86170510125828 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) | |
| accuracy | 0.00390625 | (cos.f64 v) | |
| accuracy | 0.0078125 | (sin.f64 v) | |
| accuracy | 0.02734375 | (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.09765625 | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 72.0ms | 256× | 0 | valid |
Compiled 165 to 28 computations (83% saved)
ival-mult: 25.0ms (44.4% of total)ival-div: 10.0ms (17.7% of total)ival-sin: 7.0ms (12.4% of total)ival-add: 5.0ms (8.9% of total)ival-cos: 5.0ms (8.9% of total)const: 4.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) #<representation binary64>) () ()) |
#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) (patch (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) #<representation binary64>) () ()) |
#s(alt #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) (patch #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) (patch (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 e #s(literal 1 binary64)) e) (patch (/.f64 (+.f64 e #s(literal 1 binary64)) e) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ()) |
#s(alt (/ v (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 e) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) #<representation binary64>) () ())) ()) |
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())) ()) |
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())) ()) |
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())) ()) |
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) #<representation binary64>) () ())) ()) |
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) (patch (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ e (* -1/6 (* e (pow v 2))))) (taylor 0 v) (#s(alt (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) (patch (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) (patch (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) (taylor 0 v) (#s(alt (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) (patch (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) #<representation binary64>) () ())) ()) |
#s(alt v (taylor 0 v) (#s(alt #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) (patch #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) (patch #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) (taylor 0 v) (#s(alt #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) (patch #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) (patch #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) #<representation binary64>) () ())) ()) |
#s(alt v (taylor 0 v) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (+.f64 e #s(literal 1 binary64)) e) (patch (/.f64 (+.f64 e #s(literal 1 binary64)) e) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (+.f64 e #s(literal 1 binary64)) e) (patch (/.f64 (+.f64 e #s(literal 1 binary64)) e) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | v | @ | 0 | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ 1 (/ (/ (+ e 1) e) v)) (/ (/ (+ e 1) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ e 1) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (cos v) (+ (* -1/6 (* v v)) 1)) |
| 3.0ms | e | @ | -inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ 1 (/ (/ (+ e 1) e) v)) (/ (/ (+ e 1) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ e 1) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (cos v) (+ (* -1/6 (* v v)) 1)) |
| 3.0ms | v | @ | -inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ 1 (/ (/ (+ e 1) e) v)) (/ (/ (+ e 1) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ e 1) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (cos v) (+ (* -1/6 (* v v)) 1)) |
| 3.0ms | v | @ | inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ 1 (/ (/ (+ e 1) e) v)) (/ (/ (+ e 1) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ e 1) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (cos v) (+ (* -1/6 (* v v)) 1)) |
| 2.0ms | e | @ | inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ 1 (/ (/ (+ e 1) e) v)) (/ (/ (+ e 1) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ e 1) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (cos v) (+ (* -1/6 (* v v)) 1)) |
| 1× | egg-herbie |
| 10 700× | lower-fma.f64 |
| 10 700× | lower-fma.f32 |
| 5 660× | lower-*.f64 |
| 5 660× | lower-*.f32 |
| 4 238× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 311 | 5508 |
| 1 | 946 | 5344 |
| 2 | 2766 | 5149 |
| 0 | 8204 | 4860 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ v (+ 1 e)) |
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
1 |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
1 |
(+ 1 (* -1/6 (pow v 2))) |
(+ 1 (* -1/6 (pow v 2))) |
(+ 1 (* -1/6 (pow v 2))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(* -1/6 (pow v 3)) |
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6)) |
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6)) |
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(* -1/6 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(* -1/6 (pow v 3)) |
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2))))) |
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2))))) |
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2))))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 e) (* e v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(* -1/6 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6)) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(/ 1 (* e v)) |
(/ (+ (/ 1 v) (/ e v)) e) |
(/ (+ (/ 1 v) (/ e v)) e) |
(/ (+ (/ 1 v) (/ e v)) e) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ 1 e) |
(/ (+ 1 e) e) |
(/ (+ 1 e) e) |
(/ (+ 1 e) e) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (* e (cos v))) |
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e) |
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e) |
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(/ 1 v) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
1 |
(+ 1 (/ 1 e)) |
(+ 1 (/ 1 e)) |
(+ 1 (/ 1 e)) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (sin v) (* e (cos v))) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(/ 1 v) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
1 |
(+ 1 (/ 1 e)) |
(+ 1 (/ 1 e)) |
(+ 1 (/ 1 e)) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
| Outputs |
|---|
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(/ v (+ 1 e)) |
(/.f64 v (+.f64 #s(literal 1 binary64) e)) |
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
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(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
v |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 e e)) (-.f64 (/.f64 v e) v)) (-.f64 (/.f64 v e) v)) |
(/ 1 v) |
(/.f64 #s(literal 1 binary64) v) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(/ (sin v) (* e (cos v))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e))) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) e) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
v |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
v |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
(/ 1 v) |
(/.f64 #s(literal 1 binary64) v) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
| 5 620× | lower-*.f32 |
| 5 608× | lower-*.f64 |
| 5 122× | lower-fma.f32 |
| 5 118× | lower-fma.f64 |
| 4 984× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 198 |
| 0 | 54 | 189 |
| 1 | 178 | 189 |
| 2 | 979 | 185 |
| 0 | 8621 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(sin.f64 v) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) |
(*.f64 v e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) |
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)) |
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
(/.f64 (+.f64 e #s(literal 1 binary64)) e) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 e (sin.f64 v)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) |
(cos.f64 v) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (neg.f64 (sin.f64 v))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(*.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1/1296 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)))) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1/1296 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1/1296 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) v)) v #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 v (*.f64 (*.f64 #s(literal -1/6 binary64) v) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 v (*.f64 #s(literal -1/6 binary64) v) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) |
Compiled 32 265 to 3 392 computations (89.5% saved)
44 alts after pruning (36 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 481 | 16 | 1 497 |
| Fresh | 6 | 20 | 26 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 488 | 44 | 1 532 |
| Status | Accuracy | Program |
|---|---|---|
| 92.8% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))) | |
| 65.9% | (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))) | |
| ✓ | 98.9% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
| ▶ | 99.6% | (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
| 48.6% | (/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 74.2% | (/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))) | |
| 97.9% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) | |
| 72.7% | (/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))) | |
| ▶ | 49.9% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
| 49.9% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 48.6% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) |
| 98.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e)) | |
| 96.3% | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64))) | |
| 99.2% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) | |
| 48.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))) | |
| ✓ | 47.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
| 46.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v))) | |
| ▶ | 47.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
| 46.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))))) | |
| ✓ | 99.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
| 20.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v)) | |
| 42.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) | |
| ✓ | 48.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
| 48.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v)) | |
| ✓ | 98.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) | |
| 48.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 98.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) | |
| ▶ | 47.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
| 42.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e)) | |
| 46.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e)) | |
| 47.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) | |
| 47.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) | |
| 46.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e)) | |
| 47.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e)) | |
| 46.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e)) | |
| 25.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e)) | |
| 25.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e)) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) | |
| ▶ | 48.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
| ✓ | 47.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
| 47.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
Compiled 1 419 to 747 computations (47.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| cost-diff | 384 | (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) | |
| cost-diff | 384 | (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) | |
| cost-diff | 768 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal -1 binary64) e) v) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) | |
| cost-diff | 704 | (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))) | |
| cost-diff | 0 | (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v) | |
| cost-diff | 0 | #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) | |
| cost-diff | 0 | (-.f64 v (*.f64 v e)) | |
| cost-diff | 0 | (*.f64 (-.f64 v (*.f64 v e)) e) | |
| cost-diff | 0 | #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) | |
| cost-diff | 0 | (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 384 | (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
| 15 422× | lower-fma.f32 |
| 15 404× | lower-fma.f64 |
| 4 618× | lower-+.f32 |
| 4 616× | lower-+.f64 |
| 3 256× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 464 |
| 0 | 91 | 459 |
| 1 | 162 | 433 |
| 2 | 323 | 404 |
| 3 | 1199 | 373 |
| 4 | 6045 | 355 |
| 5 | 6944 | 355 |
| 0 | 8035 | 338 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
(sin.f64 v) |
v |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
e |
(cos.f64 v) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)) |
(*.f64 (-.f64 v (*.f64 v e)) e) |
(-.f64 v (*.f64 v e)) |
v |
(*.f64 v e) |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
(*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e) |
#s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) |
(fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v) |
(*.f64 v v) |
v |
(*.f64 #s(literal -1/6 binary64) v) |
#s(literal -1/6 binary64) |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)) |
(/.f64 (-.f64 #s(literal -1 binary64) e) v) |
(-.f64 #s(literal -1 binary64) e) |
#s(literal -1 binary64) |
e |
v |
(/.f64 #s(literal -1 binary64) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
e |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) |
#s(literal 1/24 binary64) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) |
(fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) |
#s(literal -1/2 binary64) |
(fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)) |
#s(literal -1/120 binary64) |
(*.f64 v v) |
v |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(sin.f64 v) |
v |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
e |
(cos.f64 v) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 e v)) e))) |
#s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)) |
#s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 e v)) e)) |
(*.f64 (-.f64 v (*.f64 v e)) e) |
(*.f64 (-.f64 v (*.f64 e v)) e) |
(-.f64 v (*.f64 v e)) |
(-.f64 v (*.f64 e v)) |
v |
(*.f64 v e) |
(*.f64 e v) |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) (*.f64 v v) v)) e)) |
(*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e) |
(*.f64 #s(approx (sin v) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) (*.f64 v v) v)) e) |
#s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) |
#s(approx (sin v) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) (*.f64 v v) v)) |
(fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) v) (*.f64 v v) v) |
(*.f64 v v) |
v |
(*.f64 #s(literal -1/6 binary64) v) |
#s(literal -1/6 binary64) |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))) |
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)) |
(/.f64 (-.f64 e #s(literal -1 binary64)) (*.f64 e v)) |
(/.f64 (-.f64 #s(literal -1 binary64) e) v) |
(-.f64 #s(literal -1 binary64) e) |
#s(literal -1 binary64) |
e |
v |
(/.f64 #s(literal -1 binary64) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) v) v #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 e #s(literal -1 binary64))) v))) |
e |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) v) v #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 e #s(literal -1 binary64))) v)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) v) v #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 e #s(literal -1 binary64))) v) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) v) v #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 e #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal -1/3 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) v) v #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) |
(fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) |
#s(literal 1/24 binary64) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) |
(fma.f64 e #s(literal -23/360 binary64) #s(literal 7/360 binary64)) |
(fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) |
(fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) |
#s(literal -1/2 binary64) |
(fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)) |
#s(literal -1/120 binary64) |
(*.f64 v v) |
v |
(+.f64 #s(literal 1 binary64) e) |
(-.f64 e #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16796875 | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| accuracy | 0.9765625 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) | |
| accuracy | 2.5683214823560427 | (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) | |
| accuracy | 33.0863000251367 | #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 #s(literal -1 binary64) e) v) | |
| accuracy | 0.31087875976844204 | (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)) | |
| accuracy | 1.1683490902185016 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))) | |
| accuracy | 32.86170510125828 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) | |
| accuracy | 0.10546875 | (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e) | |
| accuracy | 0.30859375 | (*.f64 #s(literal -1/6 binary64) v) | |
| accuracy | 1.111608023191012 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) | |
| accuracy | 33.207762054397655 | #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) | |
| accuracy | 0.00390625 | (-.f64 v (*.f64 v e)) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 v (*.f64 v e)) e) | |
| accuracy | 0.40952205324836677 | #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)) | |
| accuracy | 32.86170510125828 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) | |
| accuracy | 0.00390625 | (cos.f64 v) | |
| accuracy | 0.0078125 | (sin.f64 v) | |
| accuracy | 0.02734375 | (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) | |
| accuracy | 0.27572250976844204 | (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
| 114.0ms | 256× | 0 | valid |
Compiled 365 to 57 computations (84.4% saved)
ival-mult: 27.0ms (29.6% of total)ival-div: 18.0ms (19.7% of total)const: 16.0ms (17.5% of total)ival-add: 15.0ms (16.4% of total)ival-sin: 7.0ms (7.7% of total)ival-cos: 5.0ms (5.5% of total)ival-sub: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (patch (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #<representation binary64>) () ()) |
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ()) |
#s(alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 v (*.f64 v e)) e) (patch (*.f64 (-.f64 v (*.f64 v e)) e) #<representation binary64>) () ()) |
#s(alt (-.f64 v (*.f64 v e)) (patch (-.f64 v (*.f64 v e)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e) (patch (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e) #<representation binary64>) () ()) |
#s(alt #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) (patch #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v) (patch (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)) (patch (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal -1 binary64) e) v) (patch (/.f64 (-.f64 #s(literal -1 binary64) e) v) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (patch (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) (patch (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) #<representation binary64>) () ()) |
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) v) (patch (*.f64 #s(literal -1/6 binary64) v) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) (patch #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (patch (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (patch (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (patch (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (patch (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #<representation binary64>) () ())) ()) |
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 e) e) (taylor 0 v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 e) (taylor 0 v) (#s(alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) (patch #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) (patch #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v)))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v)))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v)))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | v | @ | -inf | ((/ (sin v) (/ (+ (* e (cos v)) 1) e)) (sin v) (/ (+ (* e (cos v)) 1) e) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (/ (+ e 1) e) v)) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (+ (* (* v v) (* -1/6 v)) v) (/ 1 (* (/ (- -1 e) v) (/ -1 e))) (* (/ (- -1 e) v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- -1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* -1/6 v) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v)) |
| 7.0ms | v | @ | inf | ((/ (sin v) (/ (+ (* e (cos v)) 1) e)) (sin v) (/ (+ (* e (cos v)) 1) e) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (/ (+ e 1) e) v)) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (+ (* (* v v) (* -1/6 v)) v) (/ 1 (* (/ (- -1 e) v) (/ -1 e))) (* (/ (- -1 e) v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- -1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* -1/6 v) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v)) |
| 4.0ms | e | @ | -inf | ((/ (sin v) (/ (+ (* e (cos v)) 1) e)) (sin v) (/ (+ (* e (cos v)) 1) e) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (/ (+ e 1) e) v)) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (+ (* (* v v) (* -1/6 v)) v) (/ 1 (* (/ (- -1 e) v) (/ -1 e))) (* (/ (- -1 e) v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- -1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* -1/6 v) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v)) |
| 4.0ms | v | @ | 0 | ((/ (sin v) (/ (+ (* e (cos v)) 1) e)) (sin v) (/ (+ (* e (cos v)) 1) e) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (/ (+ e 1) e) v)) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (+ (* (* v v) (* -1/6 v)) v) (/ 1 (* (/ (- -1 e) v) (/ -1 e))) (* (/ (- -1 e) v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- -1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* -1/6 v) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v)) |
| 4.0ms | e | @ | 0 | ((/ (sin v) (/ (+ (* e (cos v)) 1) e)) (sin v) (/ (+ (* e (cos v)) 1) e) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (/ (+ e 1) e) v)) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (+ (* (* v v) (* -1/6 v)) v) (/ 1 (* (/ (- -1 e) v) (/ -1 e))) (* (/ (- -1 e) v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- -1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* -1/6 v) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v)) |
| 1× | egg-herbie |
| 8 858× | lower-fma.f64 |
| 8 858× | lower-fma.f32 |
| 5 494× | lower-*.f64 |
| 5 494× | lower-*.f32 |
| 3 344× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 450 | 6392 |
| 1 | 1355 | 6167 |
| 2 | 4101 | 6008 |
| 0 | 8097 | 5658 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(/ (+ 1 e) e) |
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(* e (* v (- 1 e))) |
(* e (* v (- 1 e))) |
(* e (* v (- 1 e))) |
(* e (* v (- 1 e))) |
(* v (- 1 e)) |
(* v (- 1 e)) |
(* v (- 1 e)) |
(* v (- 1 e)) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
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v |
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v |
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(* -1/6 (pow v 3)) |
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(* (pow v 3) (- (/ 1 (pow v 2)) 1/6)) |
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(cos v) |
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(* e (sin v)) |
(sin v) |
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(sin v) |
(sin v) |
(* -1/6 (pow v 3)) |
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2))))) |
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2))))) |
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(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
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(cos v) |
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(/ 1 e) |
(/ (+ 1 (* e (cos v))) e) |
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(/ (+ 1 (* e (cos v))) e) |
1 |
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(* e v) |
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(* e (+ v (* -1 (* e v)))) |
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(* e v) |
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(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
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7/360 |
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7/360 |
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1/6 |
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(cos v) |
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(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
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(/ (sin v) (cos v)) |
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v |
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(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(* -1 (* (pow e 2) v)) |
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(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
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(/ (sin v) (cos v)) |
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(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(/ 1 v) |
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(/ (sin v) (cos v)) |
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(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* -1 (/ e v)) |
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(* -1 (* e (+ (/ 1 v) (/ 1 (* e v))))) |
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(* -1/3 e) |
(* e (- (* 1/6 (/ 1 e)) 1/3)) |
(* e (- (* 1/6 (/ 1 e)) 1/3)) |
(* e (- (* 1/6 (/ 1 e)) 1/3)) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(/ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) v) |
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))) |
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(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(* -1 (* (pow e 2) v)) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* -1 (* e v)) |
(* -1 (* e (- (* -1 (/ v e)) (* -1 v)))) |
(* -1 (* e (- (* -1 (/ v e)) (* -1 v)))) |
(* -1 (* e (- (* -1 (/ v e)) (* -1 v)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) |
(+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) e))) |
(/ 1 v) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(+ (/ 1 v) (/ 1 (* e v))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* -1 (/ e v)) |
(* -1 (* e (+ (/ 1 v) (/ 1 (* e v))))) |
(* -1 (* e (+ (/ 1 v) (/ 1 (* e v))))) |
(* -1 (* e (+ (/ 1 v) (/ 1 (* e v))))) |
(* -23/360 e) |
(* -1 (* e (- 23/360 (* 7/360 (/ 1 e))))) |
(* -1 (* e (- 23/360 (* 7/360 (/ 1 e))))) |
(* -1 (* e (- 23/360 (* 7/360 (/ 1 e))))) |
(* -1/45 e) |
(* -1 (* e (- 1/45 (* 7/360 (/ 1 e))))) |
(* -1 (* e (- 1/45 (* 7/360 (/ 1 e))))) |
(* -1 (* e (- 1/45 (* 7/360 (/ 1 e))))) |
(* -1/3 e) |
(* -1 (* e (- 1/3 (* 1/6 (/ 1 e))))) |
(* -1 (* e (- 1/3 (* 1/6 (/ 1 e))))) |
(* -1 (* e (- 1/3 (* 1/6 (/ 1 e))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (* e (cos v)) (sin v)) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v)))) |
(* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v)))) |
(* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v)))) |
| Outputs |
|---|
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (-.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(/ (+ 1 e) e) |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) |
(+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) |
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) |
(+ 1 e) |
(+.f64 #s(literal 1 binary64) e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) e) #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (-.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(* e (* v (- 1 e))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
(* e (* v (- 1 e))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
(* e (* v (- 1 e))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
(* e (* v (- 1 e))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
(* v (- 1 e)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(* v (- 1 e)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(* v (- 1 e)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(* v (- 1 e)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
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(*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) v (/.f64 #s(literal 1 binary64) v)) e)) (neg.f64 e)) |
(* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v)))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) v (/.f64 #s(literal 1 binary64) v)) e)) (neg.f64 e)) |
| 5 566× | lower-*.f32 |
| 5 554× | lower-*.f64 |
| 3 934× | lower-fma.f32 |
| 3 916× | lower-fma.f64 |
| 3 348× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 358 |
| 0 | 91 | 353 |
| 1 | 416 | 317 |
| 2 | 3365 | 317 |
| 0 | 8460 | 304 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
(sin.f64 v) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)) |
(*.f64 (-.f64 v (*.f64 v e)) e) |
(-.f64 v (*.f64 v e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
(*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e) |
#s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) |
(fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 (-.f64 #s(literal -1 binary64) e) v) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) |
(fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(cos.f64 v) |
(*.f64 #s(literal -1/6 binary64) v) |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (neg.f64 e)) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) |
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 e)))) |
(*.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 e))) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 e)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64))) |
(sin.f64 v) |
(*.f64 (pow.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) |
(*.f64 (pow.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) e)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e)) |
(*.f64 (/.f64 #s(literal 1 binary64) e) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) e)) |
(*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
(pow.f64 (/.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (/.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) |
(/.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 1 binary64)) e) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (neg.f64 (neg.f64 e))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) |
(/.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) e)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (*.f64 e (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 e (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))) |
(/.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (neg.f64 e)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 e))) |
(exp.f64 (*.f64 (log.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) v)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (-.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v)))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) v) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) (neg.f64 (neg.f64 v))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 #s(literal -1 binary64) e))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 #s(literal -1 binary64) e)) v)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (-.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v))))) v)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 #s(literal -1 binary64) e))) (*.f64 v (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 #s(literal -1 binary64) e)))) |
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v)) #s(literal 3 binary64))) (*.f64 v (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (-.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v))))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))) (neg.f64 v)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))) v)) |
(neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) (neg.f64 v))) |
(exp.f64 (*.f64 (log.f64 (/.f64 v (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1 binary64))) |
Compiled 33 105 to 3 014 computations (90.9% saved)
42 alts after pruning (32 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 058 | 12 | 1 070 |
| Fresh | 11 | 20 | 31 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 8 | 8 |
| Total | 1 072 | 42 | 1 114 |
| Status | Accuracy | Program |
|---|---|---|
| 92.8% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))) | |
| 65.9% | (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))) | |
| ✓ | 98.9% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
| 97.9% | (/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e)) | |
| 48.6% | (/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 74.2% | (/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))) | |
| 97.9% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) | |
| 72.7% | (/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))) | |
| 49.8% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 49.8% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) | |
| 49.9% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) | |
| 48.6% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) | |
| 6.0% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) | |
| 6.0% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e))))) | |
| 4.3% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64))))))) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 98.0% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64))) | |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) |
| 98.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e)) | |
| 99.2% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) | |
| 48.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))) | |
| ✓ | 47.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
| 46.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v))) | |
| 46.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e)))) | |
| 46.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))))) | |
| ✓ | 99.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
| 42.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) | |
| ✓ | 48.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
| 48.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v)) | |
| ✓ | 98.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| 48.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 98.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) | |
| ✓ | 47.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
| 47.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) | |
| 47.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) | |
| 25.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e)) | |
| 48.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) | |
| ✓ | 48.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
| 47.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) | |
| 27.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) | |
| ✓ | 47.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
| 47.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
Compiled 1 733 to 632 computations (63.5% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
(/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
3 calls:
| 21.0ms | e |
| 21.0ms | v |
| 21.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | e |
| 99.8% | 1 | v |
| 99.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
3 calls:
| 17.0ms | e |
| 17.0ms | v |
| 17.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | e |
| 99.8% | 1 | v |
| 99.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
3 calls:
| 17.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 17.0ms | v |
| 16.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | e |
| 99.2% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 99.2% | 1 | v |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e)) |
3 calls:
| 17.0ms | v |
| 16.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 16.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | e |
| 98.9% | 1 | v |
| 98.9% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e)) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
3 calls:
| 16.0ms | e |
| 16.0ms | v |
| 15.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | e |
| 98.9% | 1 | v |
| 98.9% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
3 calls:
| 15.0ms | e |
| 15.0ms | v |
| 15.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | v |
| 98.6% | 1 | e |
| 98.6% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
3 calls:
| 33.0ms | v |
| 16.0ms | e |
| 14.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | e |
| 98.1% | 1 | v |
| 98.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e)) |
| Outputs |
|---|
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
3 calls:
| 17.0ms | e |
| 14.0ms | v |
| 14.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 49.9% | 1 | e |
| 49.9% | 1 | v |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
| Outputs |
|---|
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
3 calls:
| 15.0ms | e |
| 14.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 14.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 1 | v |
| 49.9% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 49.9% | 1 | e |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) |
| Outputs |
|---|
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
3 calls:
| 10.0ms | v |
| 10.0ms | e |
| 9.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 1 | v |
| 48.6% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 48.6% | 1 | e |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
3 calls:
| 5.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 4.0ms | v |
| 4.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 1 | v |
| 48.6% | 1 | e |
| 48.6% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
3 calls:
| 4.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 4.0ms | e |
| 4.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 1 | v |
| 48.3% | 1 | e |
| 48.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
3 calls:
| 4.0ms | e |
| 3.0ms | v |
| 3.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 1 | v |
| 48.3% | 1 | e |
| 48.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e)))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
3 calls:
| 4.0ms | v |
| 3.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 3.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 1 | v |
| 48.3% | 1 | e |
| 48.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
3 calls:
| 2.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 2.0ms | v |
| 2.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 1 | v |
| 48.3% | 1 | e |
| 48.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
Total -14.1b remaining (-42.3%)
Threshold costs -14.1b (-42.3%)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
3 calls:
| 2.0ms | v |
| 2.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 2.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.8% | 1 | v |
| 47.8% | 1 | e |
| 47.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
| 38× | *-commutative_binary64 |
| 20× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 371 |
| 1 | 129 | 371 |
| 2 | 143 | 371 |
| 3 | 154 | 371 |
| 4 | 158 | 371 |
| 5 | 159 | 371 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e)) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sin.f64 v) e) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e)) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
| 15 582× | lower-fma.f64 |
| 15 582× | lower-fma.f32 |
| 11 796× | lower-fma.f64 |
| 11 796× | lower-fma.f32 |
| 10 700× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 15 | 27 |
| 1 | 42 | 27 |
| 2 | 241 | 27 |
| 3 | 2097 | 27 |
| 0 | 8370 | 25 |
| 0 | 450 | 5396 |
| 1 | 1421 | 5228 |
| 2 | 4342 | 5131 |
| 0 | 8832 | 4851 |
| 0 | 450 | 6392 |
| 1 | 1355 | 6167 |
| 2 | 4101 | 6008 |
| 0 | 8097 | 5658 |
| 0 | 26 | 142 |
| 0 | 42 | 136 |
| 1 | 153 | 136 |
| 2 | 914 | 134 |
| 0 | 9216 | 134 |
| 0 | 311 | 5508 |
| 1 | 946 | 5344 |
| 2 | 2766 | 5149 |
| 0 | 8204 | 4860 |
| 0 | 182 | 1153 |
| 1 | 554 | 1138 |
| 2 | 1582 | 1106 |
| 3 | 5266 | 1024 |
| 0 | 8387 | 956 |
| 0 | 55 | 358 |
| 0 | 91 | 353 |
| 1 | 416 | 317 |
| 2 | 3365 | 317 |
| 0 | 8460 | 304 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 513 to 230 computations (55.2% saved)
(negabs v)
Compiled 558 to 236 computations (57.7% saved)
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