
Time bar (total: 7.1s)
| 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)
| 927.0ms | 8 256× | 0 | valid |
ival-sin: 210.0ms (29.4% of total)ival-cos: 177.0ms (24.7% of total)ival-mult: 154.0ms (21.5% of total)ival-div: 55.0ms (7.7% of total)ival-<=: 50.0ms (7% of total)ival-add: 44.0ms (6.2% of total)ival-and: 11.0ms (1.5% of total)exact: 11.0ms (1.5% 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 |
| 53.0ms | 512× | 0 | valid |
Compiled 79 to 31 computations (60.8% saved)
ival-sin: 13.0ms (34.6% of total)ival-cos: 11.0ms (29.3% of total)ival-mult: 7.0ms (18.7% of total)ival-div: 3.0ms (8% of total)ival-add: 2.0ms (5.3% 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 11 to 9 computations (18.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 11 to 9 computations (18.2% 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 | (cos.f64 v) | |
| accuracy | 0.03125 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| accuracy | 0.1015625 | (*.f64 e (cos.f64 v)) | |
| accuracy | 0.1171875 | (*.f64 e (sin.f64 v)) |
| 27.0ms | 256× | 0 | valid |
Compiled 34 to 11 computations (67.6% saved)
ival-sin: 8.0ms (40.4% of total)ival-cos: 5.0ms (25.3% of total)ival-mult: 3.0ms (15.2% of total)ival-div: 2.0ms (10.1% of total)ival-add: 1.0ms (5.1% 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>) () ()) |
#s(alt (cos.f64 v) (patch (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 (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow v 2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (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 (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (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 (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (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 | |
|---|---|---|---|---|
| 3.0ms | e | @ | inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 2.0ms | e | @ | 0 | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (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)) (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)) (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)) (cos v)) |
| 1× | egg-herbie |
| 17 764× | lower-fma.f64 |
| 17 764× | lower-fma.f32 |
| 5 642× | lower-*.f64 |
| 5 642× | lower-*.f32 |
| 4 928× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1209 |
| 1 | 584 | 1194 |
| 2 | 1652 | 1162 |
| 3 | 4899 | 1089 |
| 0 | 8542 | 1013 |
| 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 |
(+ 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 (* 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)) |
(cos v) |
(cos v) |
(cos v) |
(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)) |
(cos v) |
(cos v) |
(cos v) |
(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 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) #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 (*.f64 (pow.f64 v #s(literal 4 binary64)) e) (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) 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)))) |
(fma.f64 (pow.f64 v #s(literal 3 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))) (*.f64 (/.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 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 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 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 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 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 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 e (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) 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))))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 e (*.f64 (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 e)) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (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)) 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)))))) |
(*.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(fma.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) e) (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow v 2))) |
(fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #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)) |
(+ 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 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) 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) |
(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) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(+ 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 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) 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) |
(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) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
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 (fma.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) e (sin.f64 v)) 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 (*.f64 (sin.f64 v) (fma.f64 (*.f64 (neg.f64 e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) e (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)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (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))))) |
(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 (/.f64 (sin.f64 v) 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))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (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 (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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) 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 | 29 |
| 0 | 15 | 29 |
| 1 | 42 | 29 |
| 2 | 241 | 29 |
| 3 | 2097 | 29 |
| 0 | 8370 | 27 |
| 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)) |
(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)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 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)) (pow.f64 (-.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))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #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 (neg.f64 (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 (-.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)) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (sin.f64 v))) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (-.f64 (*.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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (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 (neg.f64 e) (neg.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) |
(/.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))) |
(neg.f64 (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)))) |
(fma.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (cos.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (cos.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 (cos.f64 v) e)) (log.f64 (*.f64 (sin.f64 v) e))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e))) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)))) |
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v)) |
(*.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))) |
(*.f64 (cos.f64 v) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 v)) |
(cos.f64 v) |
Compiled 12 335 to 1 300 computations (89.5% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 453 | 12 | 465 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 454 | 12 | 466 |
| Status | Accuracy | Program |
|---|---|---|
| 74.5% | (pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 44.4% | (pow.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) #s(literal -1/2 binary64)) | |
| ▶ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ▶ | 98.2% | (/.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))) |
| 98.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) | |
| 98.9% | (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) | |
| ▶ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) | |
| 98.8% | #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))) | |
| ▶ | 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
| 97.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
Compiled 272 to 210 computations (22.8% saved)
| 1× | egg-herbie |
Found 20 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 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) e) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| 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 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 | (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) |
| 36× | lower-*.f32 |
| 28× | lower-*.f64 |
| 22× | lower-/.f32 |
| 16× | *-commutative |
| 12× | lift-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 160 |
| 0 | 40 | 157 |
| 1 | 59 | 157 |
| 2 | 66 | 157 |
| 3 | 68 | 157 |
| 0 | 68 | 157 |
| 1× | iter limit |
| 1× | saturated |
| 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)))) (*.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 |
(/.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) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(literal 1 binary64) |
(/.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 (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)))) (*.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)) |
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/.f64 e (+.f64 e #s(literal 1 binary64))) |
(/.f64 e (+.f64 #s(literal 1 binary64) e)) |
e |
(+.f64 e #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
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) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
v |
e |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
#s(literal 1 binary64) |
(/.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 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 v) | |
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0.15625 | (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) | |
| accuracy | 0.18359375 | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) | |
| accuracy | 0 | (sin.f64 v) | |
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0.03125 | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.1171875 | (*.f64 (sin.f64 v) e) | |
| accuracy | 0 | (sin.f64 v) | |
| accuracy | 0.03125 | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| accuracy | 0.1171875 | (*.f64 e (sin.f64 v)) | |
| accuracy | 1.0363318583799 | #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 e #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) | |
| accuracy | 0.02734375 | (/.f64 e (+.f64 e #s(literal 1 binary64))) | |
| accuracy | 31.25906280182605 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) | |
| accuracy | 0 | (sin.f64 v) | |
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0.01953125 | (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.1171875 | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 50.0ms | 256× | 0 | valid |
Compiled 154 to 22 computations (85.7% saved)
ival-mult: 9.0ms (27.6% of total)ival-div: 8.0ms (24.5% of total)ival-sin: 6.0ms (18.4% of total)ival-cos: 5.0ms (15.3% of total)ival-add: 3.0ms (9.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (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)))) (*.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 (/.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 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) 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>) () ()) |
#s(alt (cos.f64 v) (patch (cos.f64 v) #<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)))) (*.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 (* 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 (/.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 (* 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 (/.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 (* 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 (/.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 (/ (* e v) (+ 1 e)) (taylor 0 v) (#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 (/ (* e v) (+ 1 e)) (taylor 0 v) (#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 (/ (* e v) (+ 1 e)) (taylor 0 v) (#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 (/ (* e v) (+ 1 e)) (taylor 0 v) (#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 (/ (* e v) (+ 1 e)) (taylor 0 v) (#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 (* 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)) #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 (* 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)) #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 (* 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)) #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 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 (+ 1 e) (taylor 0 v) (#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>) () ())) ()) |
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#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 | |
|---|---|---|---|---|
| 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) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (cos v)) |
| 3.0ms | e | @ | 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) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (cos v)) |
| 2.0ms | 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) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (cos v)) |
| 2.0ms | 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) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (cos v)) |
| 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) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (cos v)) |
| 1× | egg-herbie |
| 9 822× | lower-fma.f64 |
| 9 822× | lower-fma.f32 |
| 6 308× | lower-*.f64 |
| 6 308× | lower-*.f32 |
| 4 592× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 366 | 5259 |
| 1 | 1123 | 5130 |
| 2 | 3234 | 4965 |
| 0 | 8154 | 4653 |
| 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) (+ 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))))))) |
(/ (* 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))))))) |
(/ (* 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) |
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 (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 (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))) |
(/ (* 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)) |
(/ (* 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)) |
(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)))) |
(/ (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 (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))) |
(/ (* 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)) |
(/ (* 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)) |
(cos v) |
(cos v) |
(cos v) |
(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)))))) |
(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 |
(* 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)) |
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 (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))))) |
(/ (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))) |
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)) |
(* 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)) |
(/ (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))) |
(/ (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))) |
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)) |
(* 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)) |
(/ (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 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 (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (/.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 (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (/.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)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (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 (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (/.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.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 (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(/ 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)))) |
(fma.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (/.f64 v (+.f64 #s(literal 1 binary64) 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)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (fma.f64 (/.f64 (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (/.f64 v (+.f64 #s(literal 1 binary64) 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)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (neg.f64 v) v) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (fma.f64 (/.f64 (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 e (fma.f64 (/.f64 (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/24 binary64) (/.f64 #s(literal -1/720 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (/.f64 #s(literal 1/5040 binary64) (+.f64 #s(literal 1 binary64) e)))) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (fma.f64 (/.f64 (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (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)) v) |
(+ 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 #s(literal -1/720 binary64) e) (pow.f64 v #s(literal 4 binary64)) (*.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)) |
(/ (* 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 (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (/.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)))) |
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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 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 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))) |
(-.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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) 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) |
(* -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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 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))) |
(-.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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) 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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 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))) |
(-.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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) 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))) |
| 3 940× | lower-*.f32 |
| 3 932× | lower-*.f64 |
| 3 558× | lower-/.f32 |
| 3 546× | lower-/.f64 |
| 3 428× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 122 |
| 0 | 40 | 119 |
| 1 | 139 | 119 |
| 2 | 737 | 119 |
| 3 | 6982 | 119 |
| 0 | 8286 | 119 |
| 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)))) (*.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)) |
(/.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))) |
(/.f64 (*.f64 (sin.f64 v) e) (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 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (sin.f64 v))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))) (fma.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 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 e (/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(*.f64 (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) (sin.f64 v))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (/.f64 e (/.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 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 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (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 (neg.f64 e) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 v)) |
(*.f64 (*.f64 (/.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)) (sin.f64 v)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #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 (pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 e (+.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)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (fma.f64 (neg.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 (pow.f64 (sin.f64 v) #s(literal -1 binary64))) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (/.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 e (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #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) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 e (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e)) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 e (pow.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 (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)) e)) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 e (sin.f64 v)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
(*.f64 (pow.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)) (*.f64 e (sin.f64 v)))) |
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #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) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #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) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #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 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (neg.f64 (sin.f64 v))) |
(*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) |
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) |
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (/.f64 e (+.f64 (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)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (pow.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (+.f64 (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)) (sin.f64 v))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 e)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v))) |
(*.f64 (/.f64 e (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 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 e (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 e (sin.f64 v))) |
(*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (sin.f64 v)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)) |
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(fma.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)) (pow.f64 (sin.f64 v) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(fma.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e (cos.f64 v)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (*.f64 (*.f64 e (cos.f64 v)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (/.f64 #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 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.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 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)) (/.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #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 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) |
(exp.f64 (*.f64 (-.f64 (log.f64 (sin.f64 v)) (log1p.f64 (*.f64 e (cos.f64 v)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (pow.f64 (sin.f64 v) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 e (cos.f64 v)) (pow.f64 (sin.f64 v) #s(literal -1 binary64))) (pow.f64 (sin.f64 v) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (neg.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 (neg.f64 e) (cos.f64 v)))) |
(+.f64 (*.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (*.f64 e (cos.f64 v))) (pow.f64 (sin.f64 v) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(+.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (*.f64 (*.f64 e (cos.f64 v)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)))) |
(*.f64 #s(literal 1 binary64) (cos.f64 v)) |
(*.f64 (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
Compiled 39 798 to 3 474 computations (91.3% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 856 | 21 | 1 877 |
| Fresh | 3 | 4 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 861 | 28 | 1 889 |
| Status | Accuracy | Program |
|---|---|---|
| 74.5% | (pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 44.4% | (pow.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) #s(literal -1/2 binary64)) | |
| ✓ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 98.2% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))) | |
| 50.7% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 50.7% | (/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 98.0% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) | |
| 97.4% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) | |
| ▶ | 52.2% | (/.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))) |
| 52.2% | (/.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))) | |
| ▶ | 51.1% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
| 98.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) | |
| ▶ | 97.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v)))) |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 98.2% | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) | |
| 98.2% | (*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) | |
| 98.8% | (*.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) | |
| 97.6% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| ▶ | 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
| 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) | |
| 50.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) | |
| ✓ | 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
| 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) | |
| 2.5% | #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)) | |
| 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 2.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) | |
| 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) | |
| ▶ | 50.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
Compiled 638 to 481 computations (24.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) e) | |
| cost-diff | 0 | #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v)))) | |
| 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 #s(literal 1 binary64) e) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) e) v) | |
| cost-diff | 0 | #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) | |
| cost-diff | 0 | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) | |
| 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 | (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
| 20 542× | lower-fma.f32 |
| 20 528× | lower-fma.f64 |
| 4 498× | lower-+.f32 |
| 4 496× | lower-+.f64 |
| 3 234× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 430 |
| 0 | 79 | 430 |
| 1 | 126 | 404 |
| 2 | 253 | 388 |
| 3 | 1041 | 360 |
| 4 | 5379 | 342 |
| 5 | 6740 | 342 |
| 6 | 6961 | 342 |
| 7 | 7040 | 342 |
| 8 | 7393 | 342 |
| 9 | 7488 | 342 |
| 0 | 8162 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(sin.f64 v) |
v |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(cos.f64 v) |
(/.f64 #s(literal -1 binary64) e) |
#s(literal -1 binary64) |
e |
#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 |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
e |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) |
(/.f64 (+.f64 #s(literal 1 binary64) e) v) |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
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))) |
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) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v)))) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
e |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
v |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(sin.f64 v) |
v |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(cos.f64 v) |
(/.f64 #s(literal -1 binary64) e) |
#s(literal -1 binary64) |
e |
#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 |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
e |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) |
(/.f64 (+.f64 #s(literal 1 binary64) e) v) |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
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))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) 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)) |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) 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) |
(/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) 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 (pow.f64 v #s(literal 4 binary64)) (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) 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 -1/3 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 #s(literal -23/360 binary64) e #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) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v)))) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))) |
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
e |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (*.f64 e (sin.f64 v)) | |
| accuracy | 0.1640625 | (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))) | |
| accuracy | 0.7134612029528864 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v)))) | |
| accuracy | 0.8608220241262711 | #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.18359375 | (/.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 | 0.96484375 | (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 | 1.201813138030623 | (/.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 | 31.26904158090273 | #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 | (+.f64 #s(literal 1 binary64) e) | |
| accuracy | 0.01953125 | (/.f64 (+.f64 #s(literal 1 binary64) e) v) | |
| accuracy | 0.18359375 | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) | |
| accuracy | 31.04936350239742 | #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) | |
| accuracy | 0 | (*.f64 v e) | |
| accuracy | 1.232723878548321 | #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) | |
| accuracy | 31.027274383556435 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) | |
| accuracy | 0 | (sin.f64 v) | |
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) | |
| accuracy | 0.228847509768442 | (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
| 159.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 347 to 47 computations (86.5% saved)
ival-mult: 40.0ms (32.6% of total)ival-div: 32.0ms (26.1% of total)const: 25.0ms (20.4% of total)ival-add: 12.0ms (9.8% of total)ival-sin: 7.0ms (5.7% of total)ival-cos: 5.0ms (4.1% of total)ival-sub: 1.0ms (0.8% of total)adjust: 0.0ms (0% 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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ()) |
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ()) |
#s(alt (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (patch (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #<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 (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) (patch (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (patch #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) #<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 (+.f64 #s(literal 1 binary64) e) (patch (+.f64 #s(literal 1 binary64) e) #<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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))) (patch (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ()) |
#s(alt (cos.f64 v) (patch (cos.f64 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>) () ()) |
#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | v | @ | 0 | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ 1 e) v) (+ 1 e) (+ (* (+ (* -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))) (/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) (/ (+ 1 (* e (cos v))) (* e (sin v))) (+ 1 (* e (cos v))) (cos 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) (* e (sin v))) |
| 7.0ms | e | @ | -inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ 1 e) v) (+ 1 e) (+ (* (+ (* -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))) (/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) (/ (+ 1 (* e (cos v))) (* e (sin v))) (+ 1 (* e (cos v))) (cos 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) (* e (sin v))) |
| 6.0ms | v | @ | -inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ 1 e) v) (+ 1 e) (+ (* (+ (* -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))) (/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) (/ (+ 1 (* e (cos v))) (* e (sin v))) (+ 1 (* e (cos v))) (cos 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) (* e (sin v))) |
| 4.0ms | v | @ | inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ 1 e) v) (+ 1 e) (+ (* (+ (* -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))) (/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) (/ (+ 1 (* e (cos v))) (* e (sin v))) (+ 1 (* e (cos v))) (cos 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) (* e (sin v))) |
| 4.0ms | e | @ | inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ 1 e) v) (+ 1 e) (+ (* (+ (* -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))) (/ 1 (/ (+ 1 (* e (cos v))) (* e (sin v)))) (/ (+ 1 (* e (cos v))) (* e (sin v))) (+ 1 (* e (cos v))) (cos 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) (* e (sin v))) |
| 1× | egg-herbie |
| 8 300× | lower-fma.f64 |
| 8 300× | lower-fma.f32 |
| 6 350× | lower-*.f64 |
| 6 350× | lower-*.f32 |
| 3 218× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 506 | 6949 |
| 1 | 1560 | 6687 |
| 2 | 4789 | 6601 |
| 0 | 8121 | 6190 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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v |
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1 |
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(* e v) |
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(* e (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)))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(+ (cos 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 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)))) |
(/ (+ 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) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 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)))) |
(/ (* 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))) (* 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))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(cos v) |
(cos v) |
(cos v) |
(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)) |
(* (pow v 3) (- (+ (* -1/120 e) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) 1/120)) |
(* -1 (* (pow v 3) (+ (* -1 (- (+ (* -1/120 e) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) 1/120)) (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (- (+ (* -1/120 e) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) 1/120)) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))) (* -1 (/ (+ 1 e) (pow v 4))))))) |
(* -1 (* (pow v 3) (+ (* -1 (- (+ (* -1/120 e) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) 1/120)) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))) (* -1 (/ (+ 1 e) (pow v 4))))))) |
(* 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) (* 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 (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
(/ (+ 1 (* e (cos 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)))))) |
(* 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)))))) |
(/ 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))) |
(/ 1 v) |
(+ (/ 1 v) (/ e v)) |
(+ (/ 1 v) (/ e v)) |
(+ (/ 1 v) (/ e v)) |
1 |
(+ 1 e) |
(+ 1 e) |
(+ 1 e) |
7/360 |
(+ 7/360 (* -23/360 e)) |
(+ 7/360 (* -23/360 e)) |
(+ 7/360 (* -23/360 e)) |
7/360 |
(+ 7/360 (* -1/45 e)) |
(+ 7/360 (* -1/45 e)) |
(+ 7/360 (* -1/45 e)) |
1/6 |
(+ 1/6 (* -1/3 e)) |
(+ 1/6 (* -1/3 e)) |
(+ 1/6 (* -1/3 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) (* -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 (sin v))) |
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e) |
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e) |
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos 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))) |
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v) |
(+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) |
(+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) |
(+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 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))) |
(- (+ (/ (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) (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))))) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 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 (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 v) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* -23/360 e) |
(* e (- (* 7/360 (/ 1 e)) 23/360)) |
(* e (- (* 7/360 (/ 1 e)) 23/360)) |
(* e (- (* 7/360 (/ 1 e)) 23/360)) |
(* -1/45 e) |
(* e (- (* 7/360 (/ 1 e)) 1/45)) |
(* e (- (* 7/360 (/ 1 e)) 1/45)) |
(* e (- (* 7/360 (/ 1 e)) 1/45)) |
(* -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))))) |
(/ (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))))) |
(/ (cos v) (sin v)) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(/ (* 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))))) |
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))) |
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))) |
(* 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))) |
(/ (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)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (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)) |
(/ (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 (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)))))) |
(/ e v) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* -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))) |
(/ (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) (sin v)) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (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)))) |
(/ (* 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)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* 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)))) |
(fma.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))))) |
(* 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 (neg.f64 e) (-.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))) |
(* -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 (neg.f64 e) (-.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))) |
(* -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 (neg.f64 e) (-.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))) |
(* 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) |
| 5 400× | lower-*.f32 |
| 5 394× | lower-*.f64 |
| 3 820× | lower-fma.f32 |
| 3 806× | lower-fma.f64 |
| 3 506× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 329 |
| 0 | 79 | 329 |
| 1 | 350 | 309 |
| 2 | 2859 | 309 |
| 0 | 8123 | 291 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(sin.f64 v) |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
#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) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) |
(/.f64 (+.f64 #s(literal 1 binary64) e) v) |
(+.f64 #s(literal 1 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 1/24 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))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v)))) |
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(cos.f64 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) |
(*.f64 e (sin.f64 v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v) (pow.f64 e #s(literal -2 binary64))))) |
(*.f64 (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)) (sin.f64 v)) |
(*.f64 (neg.f64 (sin.f64 v)) (pow.f64 (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 v) (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))) #s(literal -1 binary64))) |
(sin.f64 v) |
(*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (pow.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v) (pow.f64 e #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v) (pow.f64 e #s(literal -2 binary64)))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v) (pow.f64 e #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (*.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v) (pow.f64 e #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v) (pow.f64 e #s(literal -2 binary64)))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))))) |
(fma.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64) (cos.f64 v)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v) (pow.f64 e #s(literal -2 binary64))))) (/.f64 (pow.f64 (neg.f64 e) #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v) (pow.f64 e #s(literal -2 binary64)))))) |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) |
(+.f64 (cos.f64 v) (pow.f64 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) |
(*.f64 e v) |
(*.f64 (pow.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) #s(literal -1 binary64)) (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) #s(literal -1 binary64)) e) |
(*.f64 (neg.f64 e) (pow.f64 (neg.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))) |
(*.f64 e (pow.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 e)) (neg.f64 (neg.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))) |
(/.f64 (neg.f64 e) (neg.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
(neg.f64 (/.f64 (neg.f64 e) #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))) |
(neg.f64 (/.f64 e (neg.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e)) #s(literal -1 binary64))) |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) |
(*.f64 (pow.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 v #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 v #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64)) (pow.f64 (neg.f64 v) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) e) (pow.f64 v #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) |
(pow.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (pow.f64 v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) e)) |
(/.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) (pow.f64 v #s(literal -1 binary64))) (-.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 v #s(literal -1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 v #s(literal -1 binary64))) (fma.f64 e e (-.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64))) (neg.f64 (neg.f64 v))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) |
(/.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 e #s(literal 1 binary64)) v)) |
(/.f64 (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) v)) |
(/.f64 (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) v)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 v (-.f64 #s(literal 1 binary64) e))) |
(/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 v (-.f64 e #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 v (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 v (fma.f64 e e (-.f64 #s(literal 1 binary64) e)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64)) (neg.f64 v)) |
(/.f64 (+.f64 #s(literal 1 binary64) e) v) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64)) v)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 v))) |
(exp.f64 (*.f64 (log.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) |
(*.f64 (fma.f64 e e #s(literal -1 binary64)) (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 v #s(literal -1 binary64)) (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 (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))) (pow.f64 (neg.f64 v) #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)) (pow.f64 v #s(literal -1 binary64))) |
(*.f64 #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)) |
(pow.f64 (/.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)) #s(literal -1 binary64)) |
(pow.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 (*.f64 (fma.f64 (pow.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))) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (pow.f64 v #s(literal -1 binary64))) (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) (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) (pow.f64 v #s(literal -1 binary64))) (fma.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))) (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 2 binary64)))) |
(/.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 (fma.f64 (pow.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))) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #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) (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64))) v)) |
(/.f64 (*.f64 (fma.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.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))) (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 2 binary64))) v)) |
(/.f64 (fma.f64 (pow.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))) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 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) (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) (*.f64 v (fma.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))) (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 2 binary64))))) |
(/.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))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
Compiled 31 357 to 3 466 computations (88.9% saved)
40 alts after pruning (36 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 983 | 19 | 1 002 |
| Fresh | 3 | 17 | 20 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 990 | 40 | 1 030 |
| Status | Accuracy | Program |
|---|---|---|
| 74.5% | (pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 43.5% | (pow.f64 (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) #s(literal -1/2 binary64)) | |
| ✓ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 98.2% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))) | |
| 50.7% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| ▶ | 50.7% | (/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
| 98.0% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) | |
| 97.4% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) | |
| 52.1% | (/.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))) | |
| 52.2% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (*.f64 #s(literal -23/360 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))) | |
| 52.2% | (/.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))) | |
| 52.2% | (/.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))) | |
| 50.5% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) v))) | |
| 51.7% | (/.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 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) | |
| 5.8% | (/.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)))) | |
| ▶ | 5.8% | (/.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))))) |
| 97.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (sin.f64 v))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e)) | |
| 49.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))) | |
| 50.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 v e)))) | |
| 96.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) | |
| 51.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 (* e (cos v))) (* e (sin v))) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v))) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 98.2% | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) | |
| 98.2% | (*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) | |
| ▶ | 98.8% | (*.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) |
| 97.6% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| 70.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) #s(literal -1 binary64))))) | |
| ▶ | 97.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
| 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) | |
| 50.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) | |
| 63.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))) | |
| 30.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v) (pow.f64 e #s(literal -2 binary64)))))) | |
| ✓ | 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
| 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) | |
| 2.5% | #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)) | |
| 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 2.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) | |
| ▶ | 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) |
| ✓ | 50.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
Compiled 1 089 to 818 computations (24.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 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))))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) | |
| cost-diff | 0 | #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) | |
| cost-diff | 0 | (/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 v (*.f64 v e)) | |
| cost-diff | 0 | (*.f64 (-.f64 v (*.f64 v e)) e) | |
| cost-diff | 0 | #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) 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)) (sin.f64 v)) | |
| cost-diff | 0 | #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) | |
| cost-diff | 0 | (*.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) |
| 14 566× | lower-fma.f32 |
| 14 558× | lower-fma.f64 |
| 4 502× | lower-+.f32 |
| 4 500× | lower-+.f64 |
| 3 156× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 528 |
| 0 | 103 | 528 |
| 1 | 181 | 504 |
| 2 | 376 | 492 |
| 3 | 1354 | 477 |
| 4 | 6341 | 465 |
| 5 | 7339 | 465 |
| 0 | 8621 | 438 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (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) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (* (/ e (+ e 1)) 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 |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) |
(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 (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) |
(+.f64 e #s(literal 1 binary64)) |
(/.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))))) |
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 (/ (+ (* (+ (* (+ (* 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))) |
(*.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)) |
(/.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) |
(fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) |
#s(literal 1/45 binary64) |
(*.f64 v v) |
v |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
(neg.f64 e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) |
(sin.f64 v) |
v |
#s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
| Outputs |
|---|
(*.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 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))) e) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
e |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 e) v v) e))) |
#s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) |
#s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 e) v v) e)) |
(*.f64 (-.f64 v (*.f64 v e)) e) |
(*.f64 (fma.f64 (neg.f64 e) v v) e) |
(-.f64 v (*.f64 v e)) |
(fma.f64 (neg.f64 e) v v) |
v |
(*.f64 v e) |
(*.f64 e v) |
e |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) e)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) e)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v) |
(*.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) e) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) |
(*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) |
(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 (+ 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) |
(/.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))))) |
(/.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 e v) (fma.f64 #s(literal -1/45 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 v v) #s(literal 1 binary64))))))) |
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 (/ (+ (* (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 e v) (fma.f64 #s(literal -1/45 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 v v) #s(literal 1 binary64)))))) |
#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 (/ (+ (* (+ (* (+ (* 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 e v) (fma.f64 #s(literal -1/45 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(*.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)) |
(*.f64 (/.f64 e v) (fma.f64 #s(literal -1/45 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
(/.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) |
(fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) |
#s(literal 1/45 binary64) |
(*.f64 v v) |
v |
#s(literal 1/3 binary64) |
#s(literal -1 binary64) |
(neg.f64 e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) |
(sin.f64 v) |
v |
#s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 v) | |
| accuracy | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) | |
| accuracy | 0.228847509768442 | (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) | |
| accuracy | 1.4093015202516406 | #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) | |
| accuracy | 1.1665886153141214 | (/.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) | |
| accuracy | 5.10113169540591 | (*.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)) | |
| accuracy | 31.50688621303715 | #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)))) | |
| accuracy | 62.19572891130861 | #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))) | |
| accuracy | 0.09375 | (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) | |
| accuracy | 1.0363318583799 | #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) | |
| accuracy | 6.381136799382791 | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) | |
| accuracy | 31.531450942756287 | #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) | |
| accuracy | 0.00390625 | (-.f64 v (*.f64 v e)) | |
| accuracy | 0.015625 | (*.f64 (-.f64 v (*.f64 v e)) e) | |
| accuracy | 0.644202738226657 | #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) | |
| accuracy | 31.25906280182605 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) | |
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0.02734375 | (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) | |
| accuracy | 0.1171875 | (*.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) | |
| accuracy | 0.6224801125349987 | #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
| 130.0ms | 256× | 0 | valid |
Compiled 303 to 66 computations (78.2% saved)
ival-mult: 36.0ms (33.9% of total)ival-add: 17.0ms (16% of total)const: 17.0ms (16% of total)ival-div: 15.0ms (14.1% of total)ival-sin: 8.0ms (7.5% of total)ival-cos: 8.0ms (7.5% of total)ival-sub: 2.0ms (1.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #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) (patch (*.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) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (* (/ e (+ e 1)) 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 (/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) (patch #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) #<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>) () ()) |
#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ()) |
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) (patch (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ()) |
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ()) |
#s(alt #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) (patch #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ()) |
#s(alt (cos.f64 v) (patch (cos.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 (*.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)) (patch (*.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)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (*.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) (patch (*.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) #<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 #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) (patch (*.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) #<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 #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) (patch (*.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) #<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 #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) (patch (*.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) #<representation binary64>) () ())) ()) |
#s(alt (/ v (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<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 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<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 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<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)) #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) (taylor -inf e) (#s(alt #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))) (patch #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))) #<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 #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))) (patch #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))) #<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 #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))) (patch #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))) #<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 #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) #<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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) #<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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) (patch (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) (patch (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) (patch (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) (patch (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ()) |
#s(alt (cos v) (taylor -inf e) (#s(alt #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) (patch #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) (patch #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) (patch #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) (patch #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) #<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>) () ())) ()) |
#s(alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) (taylor -inf e) (#s(alt (*.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)) (patch (*.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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) (taylor -inf e) (#s(alt (*.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)) (patch (*.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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) (taylor -inf e) (#s(alt (*.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)) (patch (*.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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) (taylor -inf e) (#s(alt (*.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)) (patch (*.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)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 90.0ms | e | @ | 0 | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* -1/6 (* v v)) 1) e) (+ (* -1/6 (* v v)) 1) (/ e (/ (+ (* (cos v) e) 1) (sin 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) (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (cos v) (+ 1 (* e (cos v))) (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e))) |
| 13.0ms | v | @ | inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* -1/6 (* v v)) 1) e) (+ (* -1/6 (* v v)) 1) (/ e (/ (+ (* (cos v) e) 1) (sin 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) (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (cos v) (+ 1 (* e (cos v))) (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e))) |
| 6.0ms | v | @ | 0 | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* -1/6 (* v v)) 1) e) (+ (* -1/6 (* v v)) 1) (/ e (/ (+ (* (cos v) e) 1) (sin 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) (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (cos v) (+ 1 (* e (cos v))) (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e))) |
| 5.0ms | v | @ | -inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* -1/6 (* v v)) 1) e) (+ (* -1/6 (* v v)) 1) (/ e (/ (+ (* (cos v) e) 1) (sin 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) (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (cos v) (+ 1 (* e (cos v))) (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e))) |
| 4.0ms | e | @ | inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* -1/6 (* v v)) 1) e) (+ (* -1/6 (* v v)) 1) (/ e (/ (+ (* (cos v) e) 1) (sin 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) (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (cos v) (+ 1 (* e (cos v))) (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e))) |
| 1× | egg-herbie |
| 10 288× | lower-fma.f64 |
| 10 288× | lower-fma.f32 |
| 6 332× | lower-*.f64 |
| 6 332× | lower-*.f32 |
| 3 990× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 638 | 8073 |
| 1 | 2045 | 7754 |
| 2 | 6509 | 7702 |
| 0 | 8043 | 7270 |
| 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)))) |
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(* 1/45 (pow v 3)) |
(* (pow v 3) (+ 1/45 (* 1/3 (/ 1 (pow v 2))))) |
(* -1 (* (pow v 3) (- (/ 1 (pow v 4)) (+ 1/45 (* 1/3 (/ 1 (pow v 2))))))) |
(* -1 (* (pow v 3) (- (/ 1 (pow v 4)) (+ 1/45 (* 1/3 (/ 1 (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) (+ (cos v) (/ 1 e))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(/ (sin v) (+ (cos v) (/ 1 e))) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* -1/45 (* e (pow v 3))) |
(* -1 (* (pow v 3) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 4))) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2))))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 4))) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2))))))) |
(* 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))))) |
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
1 |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -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 (* -1 (* e v)))) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* -1 (* e v)))) |
v |
(+ v (* -1 (* e v))) |
(+ v (* -1 (* e v))) |
(+ v (* -1 (* 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 (+ 1 (* -1/6 (pow v 2)))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(* 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))) |
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v) |
(+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) |
(+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) |
(+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 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) (* 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 (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) 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) |
(* -1 (* e (* (cos v) (sin v)))) |
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* e (+ (* -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))) |
(/ (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 (* (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)) |
(* e (- (/ v e) v)) |
(* 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)) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(/ (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))))) |
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))) |
(* 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))) |
(- (+ (/ (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) (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))))) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 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))) |
(/ (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)) |
(* -1 (* e (* (cos v) (sin v)))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(* -1 (* e (cos v))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(* -1 (* 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))) |
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)) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(/ (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)))) |
(/ (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) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (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)))) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
| 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)))) |
(fma.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))))) |
(* 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 (neg.f64 e) (/.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)) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(*.f64 (neg.f64 e) (/.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)) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(*.f64 (neg.f64 e) (/.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)) |
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) |
(*.f64 (neg.f64 e) (/.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)) |
| 6 208× | lower-*.f32 |
| 6 192× | lower-*.f64 |
| 4 794× | lower-fma.f32 |
| 4 786× | lower-fma.f64 |
| 3 582× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 463 |
| 0 | 103 | 463 |
| 1 | 457 | 439 |
| 2 | 3620 | 439 |
| 0 | 9244 | 410 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) |
(*.f64 (-.f64 v (*.f64 v e)) e) |
(-.f64 v (*.f64 v e)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(/.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 (/ (+ (* (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 (/ (+ (* (+ (* (+ (* 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))) |
(/.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) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))) |
(sin.f64 v) |
#s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) |
(cos.f64 v) |
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) |
(*.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)) |
| Outputs |
|---|
(*.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 e #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v) (*.f64 #s(literal 1 binary64) (sin.f64 v))) |
(fma.f64 (sin.f64 v) (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 v) #s(literal 1 binary64) (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 v) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v))) |
(+.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #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 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (cos.f64 v))) (*.f64 (sin.f64 v) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (*.f64 e (cos.f64 v))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) (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)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (*.f64 (neg.f64 e) (cos.f64 v))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (cos.f64 v) #s(literal -1 binary64)) e #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (cos.f64 v)) e #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64)) |
(fma.f64 e (neg.f64 (cos.f64 v)) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) (*.f64 (neg.f64 e) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(+.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 e) v v) e))) |
#s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 e) v v) e)) |
(*.f64 (fma.f64 (neg.f64 e) v v) e) |
(*.f64 e (fma.f64 (neg.f64 e) v v)) |
(/.f64 (*.f64 (-.f64 (*.f64 v v) (pow.f64 (*.f64 e v) #s(literal 2 binary64))) e) (fma.f64 e v v)) |
(/.f64 (*.f64 (-.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 e v) #s(literal 3 binary64))) e) (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v))) |
(/.f64 (*.f64 e (-.f64 (*.f64 v v) (pow.f64 (*.f64 e v) #s(literal 2 binary64)))) (fma.f64 e v v)) |
(/.f64 (*.f64 e (-.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 e v) #s(literal 3 binary64)))) (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v))) |
(fma.f64 e v (*.f64 (*.f64 (neg.f64 v) e) e)) |
(fma.f64 e v (*.f64 e (*.f64 (neg.f64 v) e))) |
(fma.f64 v e (*.f64 (*.f64 (neg.f64 v) e) e)) |
(fma.f64 v e (*.f64 e (*.f64 (neg.f64 v) e))) |
(+.f64 (*.f64 e v) (*.f64 (*.f64 (neg.f64 v) e) e)) |
(+.f64 (*.f64 e v) (*.f64 e (*.f64 (neg.f64 v) e))) |
(*.f64 (-.f64 (*.f64 v v) (pow.f64 (*.f64 e v) #s(literal 2 binary64))) (pow.f64 (fma.f64 e v v) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 e v) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 e v v) (-.f64 (*.f64 v v) (pow.f64 (*.f64 e v) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 e v) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 v v) (pow.f64 (*.f64 e v) #s(literal 2 binary64)))) (neg.f64 (fma.f64 e v v))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 e v) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)))) |
(/.f64 (-.f64 (*.f64 v v) (pow.f64 (*.f64 e v) #s(literal 2 binary64))) (-.f64 v (*.f64 (neg.f64 v) e))) |
(/.f64 (-.f64 (*.f64 v v) (pow.f64 (*.f64 e v) #s(literal 2 binary64))) (fma.f64 e v v)) |
(/.f64 (-.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 e v) #s(literal 3 binary64))) (fma.f64 v v (-.f64 (pow.f64 (*.f64 e v) #s(literal 2 binary64)) (*.f64 v (*.f64 (neg.f64 v) e))))) |
(/.f64 (-.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 e v) #s(literal 3 binary64))) (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (-.f64 (*.f64 v v) (pow.f64 (*.f64 e v) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 e v) #s(literal 3 binary64))))) |
(fma.f64 (neg.f64 v) e v) |
(fma.f64 #s(literal -1 binary64) (*.f64 e v) v) |
(fma.f64 (neg.f64 e) v v) |
(fma.f64 e (neg.f64 v) v) |
(fma.f64 v (neg.f64 e) v) |
(-.f64 (/.f64 (*.f64 v v) (fma.f64 e v v)) (/.f64 (pow.f64 (*.f64 e v) #s(literal 2 binary64)) (fma.f64 e v v))) |
(-.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v))) (/.f64 (pow.f64 (*.f64 e v) #s(literal 3 binary64)) (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)))) |
(-.f64 v (*.f64 e v)) |
(+.f64 (*.f64 (neg.f64 v) e) v) |
(+.f64 v (*.f64 (neg.f64 v) e)) |
(*.f64 (pow.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64)) #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v))) |
(*.f64 (neg.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v))) (pow.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64))) |
(*.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v)) (pow.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))) |
(pow.f64 (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v)) #s(literal 1 binary64)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v)))) (neg.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))) |
(/.f64 (neg.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v))) (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v))))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v)))) |
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(*.f64 #s(literal 1 binary64) (/.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)) |
(pow.f64 (/.f64 (/.f64 v (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 v (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 v #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 v #s(literal -1 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) v) (*.f64 v #s(literal -1 binary64))))) |
(/.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)) #s(literal 1 binary64)) v) |
(/.f64 (neg.f64 (neg.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)))) (neg.f64 (neg.f64 v))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.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)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) v) (*.f64 v #s(literal -1 binary64)))) v)) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 v (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 v (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) v) (*.f64 v #s(literal -1 binary64)))))) |
(/.f64 (neg.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))) (neg.f64 v)) |
(/.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) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.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 (/.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)) (neg.f64 v))) |
(exp.f64 (*.f64 (log.f64 (/.f64 v (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))))) |
(*.f64 (pow.f64 #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))) #s(literal -1 binary64)) (sin.f64 v)) |
(*.f64 (neg.f64 (sin.f64 v)) (pow.f64 (neg.f64 #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 v) (pow.f64 #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (/.f64 #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))) (sin.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))) (sin.f64 v)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))) (sin.f64 v)))) |
(/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))) (sin.f64 v)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))) (sin.f64 v))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))) (sin.f64 v))) #s(literal -1 binary64))) |
(sin.f64 v) |
#s(approx (- (cos v) (/ -1 e)) (pow.f64 e #s(literal -1 binary64))) |
(cos.f64 v) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 (*.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) #s(literal -1 binary64)) e) |
(*.f64 (neg.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)) e) |
(*.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)) (neg.f64 e)) (pow.f64 v #s(literal -1 binary64))) |
(*.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)) |
(*.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)) (/.f64 (neg.f64 e) v)) |
(*.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)) (*.f64 (pow.f64 v #s(literal -1 binary64)) (neg.f64 e))) |
(*.f64 #s(literal -1 binary64) (*.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) e)) |
(*.f64 (neg.f64 e) (/.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)) |
(pow.f64 (/.f64 v (*.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)) (neg.f64 e))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.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))) (neg.f64 e)) (neg.f64 v)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 e)) (/.f64 v (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 e) (neg.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)))) (neg.f64 v)) |
(/.f64 (*.f64 (neg.f64 e) #s(literal 1 binary64)) (/.f64 v (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)))) |
(/.f64 (neg.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)) (neg.f64 e))) (neg.f64 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)) (neg.f64 e)) v) |
(/.f64 (neg.f64 e) (/.f64 v (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 v (*.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)) (neg.f64 e)))) |
(neg.f64 (*.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) e)) |
(-.f64 #s(literal 0 binary64) (*.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) e)) |
Compiled 14 095 to 1 779 computations (87.4% saved)
45 alts after pruning (38 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 719 | 14 | 733 |
| Fresh | 7 | 24 | 31 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 728 | 45 | 773 |
| Status | Accuracy | Program |
|---|---|---|
| 43.5% | (pow.f64 (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) #s(literal -1/2 binary64)) | |
| ✓ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 98.2% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))) | |
| 50.7% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 50.7% | (/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 50.6% | (/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 v v)) e (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) | |
| 50.6% | (/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) e (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))) | |
| 50.2% | (/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) | |
| 98.0% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) | |
| 97.4% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) | |
| 52.1% | (/.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))) | |
| 52.2% | (/.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))) | |
| 50.5% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) v))) | |
| 98.7% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v))) (neg.f64 e)))) | |
| 51.7% | (/.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 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) | |
| 5.8% | (/.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)))) | |
| 4.4% | (/.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 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) (/.f64 (neg.f64 e) v))))) | |
| ✓ | 5.8% | (/.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))))) |
| 5.6% | (/.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 #s(approx (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v)) (neg.f64 e))))) | |
| 5.8% | (/.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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/3 binary64) e)) (*.f64 v v) e) v))))) | |
| 5.6% | (/.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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 v v) e) e) v))))) | |
| 97.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (sin.f64 v))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e)) | |
| 50.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 v e)))) | |
| 96.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) | |
| 51.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 (* e (cos v))) (* e (sin v))) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v))) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 98.2% | (*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) | |
| ✓ | 98.8% | (*.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) |
| 98.1% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e) | |
| 97.6% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| 50.6% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (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) | |
| 70.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) #s(literal -1 binary64))))) | |
| ✓ | 97.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
| 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) | |
| 50.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) | |
| 63.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))) | |
| 30.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v) (pow.f64 e #s(literal -2 binary64)))))) | |
| ✓ | 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
| 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) | |
| 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 v) e) e)))) | |
| 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))) | |
| 28.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) | |
| ✓ | 50.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
Compiled 1 703 to 847 computations (50.3% 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 (* (/ e (+ e 1)) 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 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 v) e v) 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 (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 v) e) 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 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 v e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 v v) e) 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 #s(approx (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v)) (neg.f64 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))) |
(/.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 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.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))))) |
(/.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 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) (/.f64 (neg.f64 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/3 binary64) e)) (*.f64 v v) e) v))))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 (* e (cos v))) (* e (sin v))) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) e (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (*.f64 #s(literal -23/360 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))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (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) |
(/.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 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 v v)) e (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v 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))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e) |
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) 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 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (sin.f64 v))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))) |
#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 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) |
(pow.f64 (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) #s(literal -1/2 binary64)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v))) (neg.f64 e)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))) |
(pow.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) #s(literal -1/2 binary64)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) #s(literal -1 binary64))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v) (pow.f64 e #s(literal -2 binary64)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
3 calls:
| 21.0ms | v |
| 19.0ms | e |
| 19.0ms | (/.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 13 to 13 computations (0% 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 (* (/ e (+ e 1)) 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 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 v) e v) 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 (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 v) e) 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 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 v e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 v v) e) 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 #s(approx (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v)) (neg.f64 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))) |
(/.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 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.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))))) |
(/.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 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) (/.f64 (neg.f64 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/3 binary64) e)) (*.f64 v v) e) v))))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 (* e (cos v))) (* e (sin v))) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) e (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (*.f64 #s(literal -23/360 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))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (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) |
(/.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 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 v v)) e (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v 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))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e) |
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) 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 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (sin.f64 v))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))) |
#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 |
|---|
(*.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) |
3 calls:
| 18.0ms | e |
| 16.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 15.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | e |
| 98.8% | 1 | v |
| 98.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% 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 (* (/ e (+ e 1)) 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 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 v) e v) 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 (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 v) e) 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 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 v e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 v v) e) 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 #s(approx (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v)) (neg.f64 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))) |
(/.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 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.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))))) |
(/.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 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) (/.f64 (neg.f64 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/3 binary64) e)) (*.f64 v v) e) v))))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 (* e (cos v))) (* e (sin v))) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) e (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (*.f64 #s(literal -23/360 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))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (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) |
(/.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 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 v v)) e (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v 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))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e) |
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) 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 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (sin.f64 v))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))) |
#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))) |
| 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:
| 20.0ms | v |
| 17.0ms | e |
| 14.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | e |
| 98.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 98.8% | 1 | v |
Compiled 13 to 13 computations (0% 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 (* (/ e (+ e 1)) 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 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 v) e v) 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 (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 v) e) 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 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 v e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 v v) e) 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 #s(approx (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v)) (neg.f64 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))) |
(/.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 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.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))))) |
(/.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 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) (/.f64 (neg.f64 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/3 binary64) e)) (*.f64 v v) e) v))))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 (* e (cos v))) (* e (sin v))) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) e (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (*.f64 #s(literal -23/360 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))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (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) |
(/.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 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 v v)) e (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v 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))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e) |
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) 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 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (sin.f64 v))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
3 calls:
| 17.0ms | v |
| 17.0ms | e |
| 14.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | e |
| 98.2% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 98.2% | 1 | v |
Compiled 13 to 13 computations (0% 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 (* (/ e (+ e 1)) 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 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 v) e v) 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 (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 v) e) 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 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 v e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 v v) e) 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 #s(approx (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v)) (neg.f64 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))) |
(/.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 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.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))))) |
(/.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 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) (/.f64 (neg.f64 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/3 binary64) e)) (*.f64 v v) e) v))))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 (* e (cos v))) (* e (sin v))) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) e (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (*.f64 #s(literal -23/360 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))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (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) |
(/.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 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 v v)) e (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v 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))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e) |
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) |
| Outputs |
|---|
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) |
3 calls:
| 24.0ms | v |
| 12.0ms | e |
| 12.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | e |
| 98.2% | 1 | v |
| 98.2% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% 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 (* (/ e (+ e 1)) 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 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 v) e v) 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 (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 v) e) 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 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 v e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 v v) e) 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 #s(approx (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v)) (neg.f64 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))) |
(/.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 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.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))))) |
(/.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 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) (/.f64 (neg.f64 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/3 binary64) e)) (*.f64 v v) e) v))))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 (* e (cos v))) (* e (sin v))) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) e (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (*.f64 #s(literal -23/360 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))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (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) |
(/.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 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 v v)) e (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v 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))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e) |
3 calls:
| 17.0ms | v |
| 16.0ms | e |
| 11.0ms | (/.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 13 to 13 computations (0% 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 (* (/ e (+ e 1)) 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 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 v) e v) 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 (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 v) e) 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 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 v e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 v v) e) 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 #s(approx (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v)) (neg.f64 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))) |
(/.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 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.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))))) |
(/.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 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) (/.f64 (neg.f64 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/3 binary64) e)) (*.f64 v v) e) v))))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 (* e (cos v))) (* e (sin v))) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) e (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (*.f64 #s(literal -23/360 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))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (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) |
(/.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 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 v v)) e (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v 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))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
3 calls:
| 29.0ms | v |
| 13.0ms | e |
| 11.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | e |
| 97.6% | 1 | v |
| 97.6% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% 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 (* (/ e (+ e 1)) 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 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 v) e v) 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 (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 v) e) 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 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 v e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 v v) e) 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 #s(approx (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v)) (neg.f64 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))) |
(/.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 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.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))))) |
(/.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 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) (/.f64 (neg.f64 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/3 binary64) e)) (*.f64 v v) e) v))))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 (* e (cos v))) (* e (sin v))) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) e (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (*.f64 #s(literal -23/360 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))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (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) |
(/.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 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 v v)) e (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v 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))) |
| 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:
| 12.0ms | e |
| 11.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 11.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 1 | e |
| 52.2% | 1 | v |
| 52.2% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% 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 (* (/ e (+ e 1)) 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 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 v) e v) 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 (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 v) e) 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 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 v e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 v v) e) 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 #s(approx (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v)) (neg.f64 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))) |
(/.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 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.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))))) |
(/.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 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) (/.f64 (neg.f64 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/3 binary64) e)) (*.f64 v v) e) v))))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 (* e (cos v))) (* e (sin v))) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) e (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (*.f64 #s(literal -23/360 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))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (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) |
(/.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 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 v v)) e (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) |
| 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:
| 12.0ms | e |
| 11.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 11.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 1 | e |
| 52.2% | 1 | v |
| 52.2% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% 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 (* (/ e (+ e 1)) 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 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 v) e v) 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 (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 v) e) 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 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (*.f64 v e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) 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) #s(approx (* (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (neg e)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 v v) e) 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 #s(approx (/ (+ (* (+ (* 1/45 (* v v)) 1/3) (* v v)) -1) v) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v)) (neg.f64 e))))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
3 calls:
| 7.0ms | e |
| 6.0ms | v |
| 6.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.1% | 1 | e |
| 51.1% | 1 | v |
| 51.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% 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 (* (/ e (+ e 1)) 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 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (neg.f64 v) e v) 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 (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 v) e) 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 (-.f64 v (*.f64 v e)) e))) |
3 calls:
| 3.0ms | 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 |
|---|---|---|
| 51.1% | 1 | e |
| 51.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 51.1% | 1 | v |
Compiled 13 to 13 computations (0% saved)
Total -15.2b remaining (-47.9%)
Threshold costs -15.2b (-47.9%)
| 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 (* (/ e (+ e 1)) 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 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 2.0ms | e |
| 1.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 1 | e |
| 50.6% | 1 | v |
| 50.6% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| 1× | egg-herbie |
| 30× | *-commutative-binary64-*.f64 |
| 14× | +-commutative-binary64-+.f64 |
| 10× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 268 |
| 1 | 104 | 268 |
| 2 | 116 | 268 |
| 3 | 121 | 268 |
| 4 | 123 | 268 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) 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) |
#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 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (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))) |
#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 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) 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) |
#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 e (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) 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 e (sin.f64 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))) |
(/.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 (/.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 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 e v)) e))) |
#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))) |
| 17 764× | lower-fma.f64 |
| 17 764× | lower-fma.f32 |
| 10 288× | lower-fma.f64 |
| 10 288× | lower-fma.f32 |
| 9 822× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 366 | 5259 |
| 1 | 1123 | 5130 |
| 2 | 3234 | 4965 |
| 0 | 8154 | 4653 |
| 0 | 506 | 6949 |
| 1 | 1560 | 6687 |
| 2 | 4789 | 6601 |
| 0 | 8121 | 6190 |
| 0 | 25 | 122 |
| 0 | 40 | 119 |
| 1 | 139 | 119 |
| 2 | 737 | 119 |
| 3 | 6982 | 119 |
| 0 | 8286 | 119 |
| 0 | 638 | 8073 |
| 1 | 2045 | 7754 |
| 2 | 6509 | 7702 |
| 0 | 8043 | 7270 |
| 0 | 9 | 29 |
| 0 | 15 | 29 |
| 1 | 42 | 29 |
| 2 | 241 | 29 |
| 3 | 2097 | 29 |
| 0 | 8370 | 27 |
| 0 | 195 | 1209 |
| 1 | 584 | 1194 |
| 2 | 1652 | 1162 |
| 3 | 4899 | 1089 |
| 0 | 8542 | 1013 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 435 to 232 computations (46.7% saved)
(negabs v)
Compiled 430 to 236 computations (45.1% saved)
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