
Time bar (total: 7.3s)
| 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)
| 918.0ms | 8 256× | 0 | valid |
ival-sin: 237.0ms (34.4% of total)ival-cos: 172.0ms (25% of total)ival-mult: 113.0ms (16.4% of total)ival-div: 51.0ms (7.4% of total)ival-<=: 46.0ms (6.7% of total)ival-add: 44.0ms (6.4% of total)ival-and: 11.0ms (1.6% of total)exact: 11.0ms (1.6% of total)ival-assert: 3.0ms (0.4% 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 |
| 51.0ms | 512× | 0 | valid |
Compiled 81 to 31 computations (61.7% saved)
ival-sin: 11.0ms (30.8% of total)ival-cos: 10.0ms (28% of total)ival-mult: 8.0ms (22.4% of total)ival-div: 3.0ms (8.4% of total)ival-add: 2.0ms (5.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 524× | times-frac |
| 318× | distribute-lft-neg-in |
| 308× | distribute-rgt-in |
| 302× | associate-*r* |
| 292× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 63 |
| 1 | 64 | 57 |
| 2 | 152 | 55 |
| 3 | 402 | 55 |
| 4 | 1000 | 55 |
| 5 | 1548 | 55 |
| 6 | 1723 | 55 |
| 7 | 1874 | 55 |
| 8 | 2030 | 55 |
| 9 | 2445 | 55 |
| 10 | 2540 | 55 |
| 11 | 2601 | 55 |
| 12 | 2653 | 55 |
| 13 | 2658 | 55 |
| 0 | 9 | 11 |
| 0 | 15 | 11 |
| 1 | 22 | 11 |
| 2 | 25 | 11 |
| 3 | 26 | 11 |
| 0 | 26 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(negabs v)
Compiled 13 to 9 computations (30.8% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 e (sin.f64 v)) | |
| cost-diff | 0 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
| 16× | lower-*.f32 |
| 12× | lower-*.f64 |
| 8× | *-commutative |
| 6× | lower-/.f32 |
| 4× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 0 | 15 | 32 |
| 1 | 22 | 32 |
| 2 | 25 | 32 |
| 3 | 26 | 32 |
| 0 | 26 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
#s(literal 1 binary64) |
(*.f64 e (cos.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
e |
(sin.f64 v) |
v |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 e (cos.f64 v)) |
(*.f64 (cos.f64 v) e) |
(cos.f64 v) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0.015625 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| accuracy | 0.1171875 | (*.f64 e (sin.f64 v)) | |
| accuracy | 0.12109375 | (*.f64 e (cos.f64 v)) |
| 26.0ms | 256× | 0 | valid |
Compiled 34 to 11 computations (67.6% saved)
ival-cos: 5.0ms (27.5% of total)ival-sin: 5.0ms (27.5% of total)ival-mult: 4.0ms (22% of total)ival-div: 1.0ms (5.5% of total)ival-add: 1.0ms (5.5% 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 | |
|---|---|---|---|---|
| 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)) |
| 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 (fma.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 e #s(literal 1 binary64))) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) e) e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) e) e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/5040 binary64)) (neg.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))))))) (*.f64 v v) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) e) e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v) |
(* e v) |
(*.f64 v e) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 (*.f64 e (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(*.f64 (fma.f64 (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 v) e) v) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(*.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 (fma.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) 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 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(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 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(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)))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (*.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e)) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
| 5 798× | lower-fma.f64 |
| 5 798× | lower-fma.f32 |
| 4 350× | lower-/.f32 |
| 4 348× | lower-/.f64 |
| 3 988× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 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)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal 1 binary64)))) |
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(-.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 (log.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))))) |
(+.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 (*.f64 (sin.f64 v) e) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) (*.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 13 630 to 1 256 computations (90.8% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 452 | 13 | 465 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 453 | 13 | 466 |
| Status | Accuracy | Program |
|---|---|---|
| 73.5% | (pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 21.6% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| ▶ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 60.5% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (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)))) | |
| ▶ | 98.3% | (/.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))) | |
| ▶ | 99.7% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
| ▶ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) | |
| 52.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) | |
| 98.4% | #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))) | |
| ▶ | 52.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
| 97.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
Compiled 418 to 254 computations (39.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) e) | |
| cost-diff | 0 | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) | |
| cost-diff | 7168 | (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) | |
| 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) | |
| 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) e) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 6 180× | lower-*.f32 |
| 6 170× | lower-*.f64 |
| 3 394× | cube-prod |
| 2 772× | lower-pow.f32 |
| 2 770× | lower-pow.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 173 |
| 0 | 43 | 162 |
| 1 | 65 | 162 |
| 2 | 82 | 162 |
| 3 | 131 | 162 |
| 4 | 197 | 162 |
| 5 | 331 | 158 |
| 6 | 391 | 158 |
| 7 | 437 | 158 |
| 8 | 583 | 158 |
| 9 | 1349 | 158 |
| 10 | 2060 | 158 |
| 11 | 2213 | 158 |
| 12 | 2426 | 158 |
| 13 | 2705 | 158 |
| 14 | 3082 | 158 |
| 15 | 3514 | 158 |
| 16 | 4054 | 158 |
| 17 | 4714 | 158 |
| 18 | 4991 | 158 |
| 19 | 5172 | 158 |
| 20 | 5309 | 158 |
| 21 | 5425 | 158 |
| 22 | 5541 | 158 |
| 23 | 6231 | 158 |
| 24 | 7290 | 158 |
| 25 | 7744 | 158 |
| 26 | 7831 | 158 |
| 27 | 7918 | 158 |
| 0 | 8005 | 158 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
#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) (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) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
#s(literal -1 binary64) |
(/.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) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #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)) |
(cos.f64 v) |
#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) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/.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) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) |
e |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
#s(literal -1 binary64) |
(/.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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0.0234375 | (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.11328125 | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) | |
| accuracy | 0.171875 | (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) | |
| accuracy | 0 | (sin.f64 v) | |
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0.0234375 | (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.11328125 | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) | |
| accuracy | 0 | (sin.f64 v) | |
| accuracy | 0.015625 | (/.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 | 0.9439255418266577 | #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 e #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (/.f64 e (+.f64 e #s(literal 1 binary64))) | |
| accuracy | 0.0234375 | (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) | |
| accuracy | 30.368254488016753 | #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 | 0.015625 | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.1171875 | (*.f64 (sin.f64 v) e) |
| 65.0ms | 256× | 0 | valid |
Compiled 167 to 24 computations (85.6% saved)
ival-mult: 11.0ms (29.4% of total)ival-div: 7.0ms (18.7% of total)ival-sin: 7.0ms (18.7% of total)ival-cos: 6.0ms (16% of total)ival-add: 3.0ms (8% of total)ival-pow: 2.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.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 (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) (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 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) e) (patch (/.f64 #s(literal 1 binary64) e) #<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) 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 (* 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) 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 (* 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) 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>) () ())) ()) |
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#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ e (* -1/6 (* e (pow v 2))))) (taylor 0 v) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) (taylor 0 v) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ()) |
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 e) (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>) () ())) ()) |
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (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>) () ())) ()) |
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) (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>) () ())) ()) |
#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 #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 (/ (* 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 (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #<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 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #<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 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#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 (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 (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor -inf e) (#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 (cos v)) (/ 1 e)))) (taylor -inf e) (#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 (cos v)) (/ 1 e)))) (taylor -inf e) (#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 (cos v)) (/ 1 e)))) (taylor -inf e) (#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 (/ (sin v) (cos v)) (taylor -inf e) (#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 (+ (* -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 (/.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 (+ (* -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 (/.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 (+ (* -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 (/.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 (taylor -inf e) (#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 (+ v (* -1 (/ v e))) (taylor -inf e) (#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 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) (taylor -inf e) (#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 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) (taylor -inf e) (#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 1 (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt e (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#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 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#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 (+ (* -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 (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 (+ (* -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 (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 (/ (sin v) (* e (cos v))) (taylor -inf e) (#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 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) (taylor -inf e) (#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 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) (taylor -inf e) (#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 (* -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)) (taylor -inf e) (#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 e (taylor -inf e) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt e (taylor -inf e) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt e (taylor -inf e) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt e (taylor -inf e) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #<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 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #<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 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 e) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) e) (patch (/.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 e) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) e) (patch (/.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 e) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) e) (patch (/.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 e) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) e) (patch (/.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | v | @ | -inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (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) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (pow (/ 1 e) -1) (* (pow (/ 1 e) -1) (/ (sin v) (+ (* (cos v) e) 1))) (/ 1 e) (cos v)) |
| 3.0ms | v | @ | 0 | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (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) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (pow (/ 1 e) -1) (* (pow (/ 1 e) -1) (/ (sin v) (+ (* (cos v) e) 1))) (/ 1 e) (cos v)) |
| 2.0ms | e | @ | -inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (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) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (pow (/ 1 e) -1) (* (pow (/ 1 e) -1) (/ (sin v) (+ (* (cos v) e) 1))) (/ 1 e) (cos v)) |
| 2.0ms | e | @ | inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (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) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (pow (/ 1 e) -1) (* (pow (/ 1 e) -1) (/ (sin v) (+ (* (cos v) e) 1))) (/ 1 e) (cos v)) |
| 2.0ms | v | @ | inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (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) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (pow (/ 1 e) -1) (* (pow (/ 1 e) -1) (/ (sin v) (+ (* (cos v) e) 1))) (/ 1 e) (cos v)) |
| 1× | egg-herbie |
| 11 586× | lower-fma.f64 |
| 11 586× | lower-fma.f32 |
| 5 804× | lower-*.f64 |
| 5 804× | lower-*.f32 |
| 4 442× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 319 | 4945 |
| 1 | 989 | 4817 |
| 2 | 2827 | 4645 |
| 0 | 8152 | 4379 |
| 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)))) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
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e |
e |
e |
e |
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(/ (sin v) (* e (cos v))) |
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e |
e |
e |
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))) |
(/ 1 e) |
(/ 1 e) |
(/ 1 e) |
(/ 1 e) |
| Outputs |
|---|
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* e v) |
(*.f64 v e) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.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) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(+ 1 e) |
(+.f64 #s(literal 1 binary64) e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) 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 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* e v) |
(*.f64 v e) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.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) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v) |
(+ 1 e) |
(+.f64 #s(literal 1 binary64) e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(/ (* 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)))) |
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
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(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e) |
(-.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)))) |
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e) |
(/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) e) |
(/ (- (+ (* -1 (/ (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) |
(/.f64 (-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e) (*.f64 e e)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)))) e) |
e |
e |
e |
e |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e) (*.f64 e e)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)))) |
(/ 1 e) |
(/.f64 #s(literal 1 binary64) e) |
(/ 1 e) |
(/.f64 #s(literal 1 binary64) e) |
(/ 1 e) |
(/.f64 #s(literal 1 binary64) e) |
(/ 1 e) |
(/.f64 #s(literal 1 binary64) e) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
v |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 e)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e)) |
e |
(* e (+ 1 (/ 1 e))) |
(+.f64 #s(literal 1 binary64) e) |
(* e (+ 1 (/ 1 e))) |
(+.f64 #s(literal 1 binary64) e) |
(* e (+ 1 (/ 1 e))) |
(+.f64 #s(literal 1 binary64) e) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(/ (sin v) (* e (cos v))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(-.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)))) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) e) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) e) |
e |
e |
e |
e |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(/ 1 e) |
(/.f64 #s(literal 1 binary64) e) |
(/ 1 e) |
(/.f64 #s(literal 1 binary64) e) |
(/ 1 e) |
(/.f64 #s(literal 1 binary64) e) |
(/ 1 e) |
(/.f64 #s(literal 1 binary64) e) |
| 4 494× | lower-*.f32 |
| 4 484× | lower-*.f64 |
| 4 110× | lower-fma.f32 |
| 4 108× | lower-fma.f64 |
| 3 924× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 126 |
| 0 | 43 | 119 |
| 1 | 152 | 115 |
| 2 | 779 | 115 |
| 3 | 7947 | 115 |
| 0 | 8503 | 115 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(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) (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))) |
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) e) |
(cos.f64 v) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))) (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 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (pow.f64 e #s(literal 1/4 binary64))) (pow.f64 e #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 e)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sqrt.f64 e)) (*.f64 (sqrt.f64 e) (sin.f64 v))) |
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 e)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 e)) |
(*.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (pow.f64 e #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) e))) |
(*.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) e)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) e))) |
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(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) |
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) e)) |
(/.f64 (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) |
(/.f64 (neg.f64 e) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 e) (*.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 e) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))) |
(/.f64 (neg.f64 e) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v))) |
(/.f64 (neg.f64 (sin.f64 v)) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) e)) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)))) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) 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) e) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 e (sin.f64 v)))) |
(/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
(/.f64 e (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)) #s(literal -1 binary64))) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (*.f64 (/.f64 #s(literal -1 binary64) e) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)))) |
(/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) e))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))) |
(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 (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)) |
(neg.f64 (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))) (*.f64 (cos.f64 v) e) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e)))) |
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.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 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.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 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.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 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (cos.f64 v) e) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.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 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (*.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 (log.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (cos.f64 v) e) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.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 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))) (*.f64 (cos.f64 v) e)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e)))) |
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.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 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.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 (pow.f64 e #s(literal -1/2 binary64)) (/.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)) |
(*.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 e)) |
(pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 e) #s(literal -2 binary64)) |
(pow.f64 (*.f64 e e) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(pow.f64 e #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (neg.f64 e)))) |
(/.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 e)) |
(/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) e) |
(neg.f64 (/.f64 #s(literal -1 binary64) e)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) e)) |
(exp.f64 (neg.f64 (log.f64 e))) |
(*.f64 #s(literal 1 binary64) (cos.f64 v)) |
(*.f64 (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
Compiled 47 860 to 2 843 computations (94.1% saved)
37 alts after pruning (35 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 044 | 31 | 2 075 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 051 | 37 | 2 088 |
| Status | Accuracy | Program |
|---|---|---|
| 73.5% | (pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 97.8% | (/.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 97.9% | (/.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 e) (sin.f64 v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 97.9% | (/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 60.5% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (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 #s(literal 1 binary64))) | |
| 98.3% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e)))) | |
| 98.3% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e)))))) | |
| 52.2% | (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| ▶ | 52.3% | (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
| 52.2% | (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 98.1% | (/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e)) | |
| 52.3% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 52.5% | (/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #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))) |
| 98.1% | (/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) | |
| ▶ | 96.6% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 98.3% | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) | |
| 98.3% | (*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) | |
| 98.5% | (*.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) | |
| 97.5% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| 52.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) | |
| ▶ | 52.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
| 51.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) | |
| 52.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) | |
| 98.4% | #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))) | |
| ✓ | 52.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
| 52.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) | |
| 52.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) | |
| 52.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) | |
| 52.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) | |
| 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)) | |
| 51.9% | #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)))) | |
| 52.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) | |
| 51.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) | |
| ▶ | 51.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
Compiled 1 080 to 610 computations (43.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) (sin.f64 v)) | |
| cost-diff | 576 | (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) | |
| cost-diff | 832 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) | |
| cost-diff | 0 | #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) | |
| cost-diff | 0 | (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) | |
| cost-diff | 0 | (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) e) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) e) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) | |
| cost-diff | 384 | (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) | |
| cost-diff | 0 | (*.f64 v e) | |
| cost-diff | 0 | #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) | |
| cost-diff | 0 | (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))) |
| 3 448× | lower-fma.f32 |
| 3 442× | lower-fma.f64 |
| 2 182× | lower-*.f32 |
| 2 172× | lower-*.f64 |
| 1 520× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 291 |
| 0 | 65 | 283 |
| 1 | 106 | 283 |
| 2 | 154 | 280 |
| 3 | 262 | 274 |
| 4 | 521 | 274 |
| 5 | 968 | 274 |
| 6 | 2047 | 274 |
| 7 | 3372 | 274 |
| 8 | 4631 | 274 |
| 9 | 5405 | 274 |
| 10 | 6504 | 274 |
| 11 | 7671 | 274 |
| 0 | 8021 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) |
(*.f64 v e) |
v |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
v |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) |
e |
#s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 v v) |
v |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) |
(+.f64 e #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) |
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
(sin.f64 v) |
v |
(/.f64 #s(literal -1 binary64) e) |
| Outputs |
|---|
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (/.f64 e (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) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) |
(*.f64 v e) |
v |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) |
v |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(/.f64 (-.f64 e #s(literal -1 binary64)) e) |
(+.f64 #s(literal 1 binary64) e) |
(-.f64 e #s(literal -1 binary64)) |
#s(literal 1 binary64) |
e |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e) #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))) |
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) |
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e) |
e |
#s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(*.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 v v) |
v |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) |
#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))) |
(+.f64 e #s(literal 1 binary64)) |
(-.f64 e #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) |
(/.f64 #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))) (*.f64 (neg.f64 (sin.f64 v)) e)) |
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) |
(/.f64 #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))) (sin.f64 v)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) e) |
(-.f64 e #s(literal -1 binary64)) |
#s(literal 1 binary64) |
e |
(sin.f64 v) |
v |
(/.f64 #s(literal -1 binary64) e) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08984375 | (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) | |
| accuracy | 0.31087875976844204 | (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) | |
| accuracy | 0.9439255418266577 | #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 1.0432356274904055 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) | |
| accuracy | 0.1171875 | (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) | |
| accuracy | 0.24790436514227643 | (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) | |
| accuracy | 0.9439255418266577 | #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) | |
| accuracy | 30.52074869429714 | #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) e) | |
| accuracy | 0.03125 | (/.f64 (+.f64 #s(literal 1 binary64) e) e) | |
| accuracy | 0.1953125 | (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) | |
| accuracy | 30.368254488016753 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) | |
| accuracy | 0 | (*.f64 v e) | |
| accuracy | 1.51504936855993 | #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) | |
| accuracy | 30.368254488016753 | #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 | 0.08984375 | (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) | |
| accuracy | 0.25 | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
| 80.0ms | 256× | 0 | valid |
Compiled 211 to 35 computations (83.4% saved)
ival-mult: 23.0ms (37.1% of total)ival-div: 14.0ms (22.6% of total)ival-add: 7.0ms (11.3% of total)ival-cos: 6.0ms (9.7% of total)const: 6.0ms (9.7% of total)ival-sin: 5.0ms (8.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 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 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) e) (patch (+.f64 #s(literal 1 binary64) e) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (patch (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) (patch #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) (patch (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (patch (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) 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 (sin.f64 v) (patch (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 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#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 (* 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 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 (* 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 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>) () ())) ()) |
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#s(alt (/ (+ 1 e) v) (taylor 0 v) (#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 (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) (taylor 0 v) (#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 (* (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) (taylor 0 v) (#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 (* (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) (taylor 0 v) (#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) (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>) () ())) ()) |
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#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 (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) #<representation binary64>) () ())) ()) |
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())) ()) |
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())) ()) |
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())) ()) |
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#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 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf e) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())) ()) |
#s(alt e (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) e) (patch (+.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ()) |
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) e) (patch (+.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ()) |
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) e) (patch (+.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ()) |
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) e) (patch (+.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (patch (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (patch (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (patch (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #<representation binary64>) () ())) ()) |
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (patch (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.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 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.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 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.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 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos v) (sin v))) (taylor -inf e) (#s(alt (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) (patch (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) (taylor -inf e) (#s(alt (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) (patch (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) (taylor -inf e) (#s(alt (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) (patch (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) (taylor -inf e) (#s(alt (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) (patch (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e (cos v)) (sin v)) (taylor -inf e) (#s(alt (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (patch (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (patch (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (patch (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (patch (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #<representation binary64>) () ())) ()) |
#s(alt (* e (cos v)) (taylor -inf e) (#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 (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#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 (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#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 (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#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 (* e (cos v)) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | v | @ | inf | ((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e))) (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/ (+ 1 (* e (cos v))) (sin v)) (+ 1 (* e (cos v))) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6)) |
| 5.0ms | v | @ | 0 | ((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e))) (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/ (+ 1 (* e (cos v))) (sin v)) (+ 1 (* e (cos v))) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6)) |
| 3.0ms | v | @ | -inf | ((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e))) (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/ (+ 1 (* e (cos v))) (sin v)) (+ 1 (* e (cos v))) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6)) |
| 2.0ms | e | @ | -inf | ((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e))) (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/ (+ 1 (* e (cos v))) (sin v)) (+ 1 (* e (cos v))) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6)) |
| 2.0ms | e | @ | inf | ((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e))) (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/ (+ 1 (* e (cos v))) (sin v)) (+ 1 (* e (cos v))) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6)) |
| 1× | egg-herbie |
| 12 764× | lower-fma.f64 |
| 12 764× | lower-fma.f32 |
| 5 740× | lower-*.f64 |
| 5 740× | lower-*.f32 |
| 5 730× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 338 | 5992 |
| 1 | 1031 | 5874 |
| 2 | 2984 | 5736 |
| 0 | 8174 | 5362 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (+ 1 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 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
1 |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(/ (* e v) (+ 1 e)) |
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(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* -1 (/ (cos v) (sin v))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(/ (* 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 (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 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))) |
(+ (* -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 (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) 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))) |
1 |
(+ 1 (/ 1 e)) |
(+ 1 (/ 1 e)) |
(+ 1 (/ 1 e)) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* -1 (/ (cos v) (sin v))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin 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 (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)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
| Outputs |
|---|
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(/ (+ 1 e) v) |
(/.f64 (+.f64 #s(literal 1 binary64) e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) 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) |
(/ (+ 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 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 -1/120 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) |
(/ (+ 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) e) (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 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 -1/120 binary64) e #s(literal -1/120 binary64)))) #s(literal -1/6 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 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal -1/5040 binary64))))) (*.f64 v v) (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 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 -1/120 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) |
(+ 1 e) |
(+.f64 #s(literal 1 binary64) e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow v 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
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(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e) (*.f64 e e)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)))) |
(* -1 (/ (cos v) (sin v))) |
(/.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v))) |
(/ (* e (cos v)) (sin v)) |
(*.f64 (cos.f64 v) (/.f64 e (sin.f64 v))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* 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)) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e)) |
(/ (* e (cos v)) (sin v)) |
(*.f64 (cos.f64 v) (/.f64 e (sin.f64 v))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e)) |
v |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
v |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
e |
(* e (+ 1 (/ 1 e))) |
(+.f64 #s(literal 1 binary64) e) |
(* e (+ 1 (/ 1 e))) |
(+.f64 #s(literal 1 binary64) e) |
(* e (+ 1 (/ 1 e))) |
(+.f64 #s(literal 1 binary64) e) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e)) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e)) |
(* -1 (/ (cos v) (sin v))) |
(/.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v))) |
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v))) |
(/ (* 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 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* 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)) |
(* 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)) |
| 4 528× | lower-fma.f32 |
| 4 522× | lower-fma.f64 |
| 4 118× | lower-*.f32 |
| 4 108× | lower-*.f64 |
| 4 106× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 249 |
| 0 | 65 | 241 |
| 1 | 253 | 238 |
| 2 | 1534 | 236 |
| 0 | 8315 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#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 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(+.f64 #s(literal 1 binary64) e) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) |
#s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) |
(*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) |
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(sin.f64 v) |
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))) |
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(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1/36 binary64)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1/36 binary64))) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))) (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1/36 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))))) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))))) |
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) |
(fma.f64 v (*.f64 #s(literal 1/120 binary64) v) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))) |
Compiled 26 544 to 2 717 computations (89.8% saved)
48 alts after pruning (44 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 262 | 22 | 1 284 |
| Fresh | 8 | 22 | 30 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 273 | 48 | 1 321 |
| Status | Accuracy | Program |
|---|---|---|
| 97.8% | (/.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 97.9% | (/.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 e) (sin.f64 v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 97.9% | (/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 60.5% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (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 #s(literal 1 binary64))) | |
| 98.3% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e)))) | |
| 98.3% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e)))))) | |
| ▶ | 52.2% | (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
| 51.7% | (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) | |
| 51.5% | (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) | |
| 52.2% | (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 98.1% | (/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e)) | |
| 52.3% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 52.5% | (/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #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))) |
| 97.3% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) | |
| 53.7% | (/.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(literal 1/6 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 -1/120 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))) | |
| 53.8% | (/.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))) | |
| 52.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) | |
| 96.7% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e))) | |
| 96.7% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v))) | |
| 50.7% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (/.f64 #s(literal -1 binary64) e))) | |
| 95.8% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) | |
| 52.4% | (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e))) | |
| 51.0% | (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e))) | |
| 52.4% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) | |
| 52.4% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) | |
| 51.1% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| ▶ | 98.3% | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
| 98.3% | (*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) | |
| ▶ | 98.5% | (*.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) |
| 97.5% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| 51.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) | |
| 52.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64)))))) | |
| 52.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) | |
| 52.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) | |
| 98.4% | #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))) | |
| ✓ | 52.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
| ▶ | 52.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
| 52.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) | |
| 52.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) | |
| 52.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) | |
| 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)) | |
| 51.9% | #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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) | |
| 52.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) | |
| ▶ | 51.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
| ✓ | 51.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
Compiled 1 599 to 889 computations (44.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) | |
| cost-diff | 0 | #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) | |
| cost-diff | 0 | (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) | |
| cost-diff | 0 | (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) e) e) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) | |
| cost-diff | 0 | (-.f64 v (*.f64 v e)) | |
| cost-diff | 0 | (*.f64 (-.f64 v (*.f64 v e)) e) | |
| cost-diff | 0 | #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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) |
| 8 482× | lower-fma.f32 |
| 8 474× | lower-fma.f64 |
| 3 604× | lower-*.f32 |
| 3 586× | lower-*.f64 |
| 2 114× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 368 |
| 0 | 77 | 368 |
| 1 | 130 | 364 |
| 2 | 213 | 362 |
| 3 | 502 | 358 |
| 4 | 1297 | 358 |
| 5 | 2384 | 358 |
| 6 | 2675 | 358 |
| 7 | 3290 | 358 |
| 8 | 6472 | 358 |
| 0 | 8074 | 345 |
| 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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) |
(*.f64 (-.f64 v (*.f64 v e)) e) |
(-.f64 v (*.f64 v e)) |
v |
(*.f64 v e) |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(+.f64 #s(literal 1 binary64) e) |
e |
v |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) |
e |
#s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(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)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 v v) |
v |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) |
(+.f64 e #s(literal 1 binary64)) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
(/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) |
(sin.f64 v) |
v |
#s(approx (+ (* (cos v) e) 1) (+.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (neg.f64 e) v v) e))) |
#s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) |
#s(approx (/ v (/ (+ 1 e) e)) (*.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 |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) |
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
(/.f64 e (-.f64 e #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(/.f64 (-.f64 e #s(literal -1 binary64)) e) |
(+.f64 #s(literal 1 binary64) e) |
(-.f64 e #s(literal -1 binary64)) |
e |
v |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e) #s(approx (+ (* (cos v) e) 1) (-.f64 e #s(literal -1 binary64)))) |
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) |
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e) |
e |
#s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 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)) |
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 v v) |
v |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) |
#s(approx (+ (* (cos v) e) 1) (-.f64 e #s(literal -1 binary64))) |
(+.f64 e #s(literal 1 binary64)) |
(-.f64 e #s(literal -1 binary64)) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (-.f64 e #s(literal -1 binary64)))) |
(/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (-.f64 e #s(literal -1 binary64)))) |
(sin.f64 v) |
v |
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) |
#s(approx (+ (* (cos v) e) 1) (-.f64 e #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) e) |
(-.f64 e #s(literal -1 binary64)) |
#s(literal 1 binary64) |
e |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 v) | |
| accuracy | 0.0234375 | (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) | |
| accuracy | 0.11328125 | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) | |
| accuracy | 0.9439255418266577 | #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.1171875 | (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) | |
| accuracy | 0.479388387509322 | (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) | |
| accuracy | 0.9439255418266577 | #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) | |
| accuracy | 30.56922360800597 | #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) | |
| accuracy | 0.0234375 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) | |
| accuracy | 0.03125 | (/.f64 (+.f64 #s(literal 1 binary64) e) e) | |
| accuracy | 0.18359375 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) | |
| accuracy | 30.368254488016753 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) | |
| accuracy | 0 | (*.f64 v e) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 v (*.f64 v e)) e) | |
| accuracy | 0.8920208290747227 | #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) | |
| accuracy | 30.368254488016753 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) | |
| accuracy | 0 | (cos.f64 v) | |
| accuracy | 0.03125 | (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) | |
| accuracy | 0.11328125 | (*.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 | 0.8801544903228593 | #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
| 125.0ms | 256× | 0 | valid |
Compiled 250 to 39 computations (84.4% saved)
ival-mult: 65.0ms (61.8% of total)const: 10.0ms (9.5% of total)ival-add: 9.0ms (8.6% of total)ival-div: 7.0ms (6.7% of total)ival-sin: 6.0ms (5.7% of total)ival-cos: 5.0ms (4.8% of total)ival-sub: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (*.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(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (patch (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) (patch #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) (patch (*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (patch (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.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) e) 1) (+.f64 #s(literal 1 binary64) e)) (patch #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ()) |
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ()) |
#s(alt (*.f64 v e) (patch (*.f64 v e) #<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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2))))) (taylor 0 v) (#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 (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))) (taylor 0 v) (#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 (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))) (taylor 0 v) (#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 (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ())) ()) |
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#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ())) ()) |
#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#s(alt (*.f64 (-.f64 v (*.f64 v e)) e) (patch (*.f64 (-.f64 v (*.f64 v e)) e) #<representation binary64>) () ())) ()) |
#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#s(alt (*.f64 (-.f64 v (*.f64 v e)) e) (patch (*.f64 (-.f64 v (*.f64 v e)) e) #<representation binary64>) () ())) ()) |
#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#s(alt (*.f64 (-.f64 v (*.f64 v e)) e) (patch (*.f64 (-.f64 v (*.f64 v e)) e) #<representation binary64>) () ())) ()) |
#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#s(alt (*.f64 (-.f64 v (*.f64 v e)) e) (patch (*.f64 (-.f64 v (*.f64 v e)) e) #<representation binary64>) () ())) ()) |
#s(alt (* v (- 1 e)) (taylor 0 v) (#s(alt (-.f64 v (*.f64 v e)) (patch (-.f64 v (*.f64 v e)) #<representation binary64>) () ())) ()) |
#s(alt (* v (- 1 e)) (taylor 0 v) (#s(alt (-.f64 v (*.f64 v e)) (patch (-.f64 v (*.f64 v e)) #<representation binary64>) () ())) ()) |
#s(alt (* v (- 1 e)) (taylor 0 v) (#s(alt (-.f64 v (*.f64 v e)) (patch (-.f64 v (*.f64 v e)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | 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)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120)) |
| 3.0ms | 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)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120)) |
| 3.0ms | 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)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120)) |
| 3.0ms | 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)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120)) |
| 2.0ms | 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)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120)) |
| 1× | egg-herbie |
| 14 862× | lower-fma.f64 |
| 14 862× | lower-fma.f32 |
| 5 688× | lower-*.f64 |
| 5 688× | lower-*.f32 |
| 5 464× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 6766 |
| 1 | 1375 | 6561 |
| 2 | 4070 | 6345 |
| 0 | 8605 | 6025 |
| 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 (+ 1 (* -1 e))) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))))))))))))) |
(+ 1 (* -1 e)) |
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2))))) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(* e (* v (- 1 e))) |
(* e (* v (- 1 e))) |
(* e (* v (- 1 e))) |
(* e (* v (- 1 e))) |
(* v (- 1 e)) |
(* v (- 1 e)) |
(* v (- 1 e)) |
(* v (- 1 e)) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ 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))))))) |
1 |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
1/120 |
(+ 1/120 (* -1/5040 (pow v 2))) |
(+ 1/120 (* -1/5040 (pow v 2))) |
(+ 1/120 (* -1/5040 (pow v 2))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(* e (* v (- 1 e))) |
(* e (* v (- 1 e))) |
(* e (* v (- 1 e))) |
(* e (* v (- 1 e))) |
(* v (- 1 e)) |
(* v (- 1 e)) |
(* v (- 1 e)) |
(* v (- 1 e)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(* -1/5040 (pow v 7)) |
(* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) |
(* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4))))) |
(* (pow v 7) (- (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 1/5040 (/ 1/6 (pow v 4))))) |
(/ (* 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))) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* -1/5040 (pow v 2)) |
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) |
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) |
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) |
(/ (* 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) (+ 1 (* -1 (* e (cos v))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(+ 1 (* -1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(* e (* v (+ 1 (* -1 e)))) |
(* e (* v (+ 1 (* -1 e)))) |
(* e (* v (+ 1 (* -1 e)))) |
(* e (* v (+ 1 (* -1 e)))) |
(* v (+ 1 (* -1 e))) |
(* v (+ 1 (* -1 e))) |
(* v (+ 1 (* -1 e))) |
(* v (+ 1 (* -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 (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(* -1/5040 (pow v 7)) |
(* -1 (* (pow v 7) (- 1/5040 (* 1/120 (/ 1 (pow v 2)))))) |
(* -1 (* (pow v 7) (- (+ 1/5040 (/ 1/6 (pow v 4))) (* 1/120 (/ 1 (pow v 2)))))) |
(* -1 (* (pow v 7) (- (+ 1/5040 (/ 1/6 (pow v 4))) (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6)))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* -1/5040 (pow v 2)) |
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) |
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) |
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) |
(* 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 |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
(* 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)))) |
(/ 1 e) |
(/ (+ 1 e) e) |
(/ (+ 1 e) e) |
(/ (+ 1 e) e) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* 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 v) |
(* e v) |
(* e v) |
(* e v) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (* e (cos v))) |
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e) |
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e) |
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e) |
(* -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)) |
1 |
(- 1 (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 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))))) |
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 e)) |
(+ 1 (/ 1 e)) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (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))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (sin v) (* e (cos v))) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -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)))) |
1 |
(- 1 (/ 1 e)) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) 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 e)) |
(+ 1 (/ 1 e)) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (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)))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
| Outputs |
|---|
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(/ v (+ 1 e)) |
(/.f64 v (+.f64 #s(literal 1 binary64) e)) |
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(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e) (*.f64 e e)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)))) |
(/ (sin v) (* e (cos v))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e) |
(-.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)))) |
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e) |
(/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) e) |
(/ (- (+ (* -1 (/ (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) |
(/.f64 (-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e) (*.f64 e e)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)))) 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)) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))))) e)) |
(/ (sin v) (* e (cos v))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(neg.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) e) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 v))) e) |
(* -1 (* e (* (cos v) (sin v)))) |
(*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e)) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e) |
(* -1 (* e (cos v))) |
(*.f64 (cos.f64 v) (neg.f64 e)) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))))) e)) |
v |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(-.f64 v (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v) e)) |
(* -1 (* (pow e 2) v)) |
(*.f64 (*.f64 (neg.f64 e) v) e) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(*.f64 (*.f64 (-.f64 (/.f64 v e) v) e) e) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(*.f64 (*.f64 (-.f64 (/.f64 v e) v) e) e) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(*.f64 (*.f64 (-.f64 (/.f64 v e) v) e) e) |
(* -1 (* e v)) |
(*.f64 (neg.f64 e) v) |
(* -1 (* e (- (* -1 (/ v e)) (* -1 v)))) |
(*.f64 (-.f64 (/.f64 v e) v) e) |
(* -1 (* e (- (* -1 (/ v e)) (* -1 v)))) |
(*.f64 (-.f64 (/.f64 v e) v) e) |
(* -1 (* e (- (* -1 (/ v e)) (* -1 v)))) |
(*.f64 (-.f64 (/.f64 v e) v) e) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 e)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))))) e)) |
v |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(-.f64 v (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v) e)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(+ 1 (/ 1 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (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 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))))) e)) |
(/ (sin v) (* e (cos v))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(neg.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) e) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 v))) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.f64 v e) |
(* e v) |
(*.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)) |
| 4 366× | lower-/.f32 |
| 4 358× | lower-/.f64 |
| 3 646× | lower-fma.f32 |
| 3 638× | lower-fma.f64 |
| 3 536× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 308 |
| 0 | 77 | 304 |
| 1 | 287 | 302 |
| 2 | 1768 | 302 |
| 0 | 8579 | 289 |
| 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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) |
(*.f64 (-.f64 v (*.f64 v e)) e) |
(-.f64 v (*.f64 v e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) |
#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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) |
(/.f64 (+.f64 #s(literal 1 binary64) e) e) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) |
#s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
(/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) |
(sin.f64 v) |
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) |
(cos.f64 v) |
(*.f64 v e) |
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (neg.f64 e) (neg.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 (sin.f64 v) e) (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) |
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(pow.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))) |
(/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (neg.f64 (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 v))) |
(*.f64 (sin.f64 v) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 v)) |
(neg.f64 (neg.f64 (sin.f64 v))) |
(sin.f64 v) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(*.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) |
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) |
(/.f64 (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(neg.f64 (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(*.f64 #s(literal 1 binary64) (cos.f64 v)) |
(*.f64 (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
(*.f64 #s(literal 1 binary64) (*.f64 e v)) |
(*.f64 e v) |
(*.f64 v e) |
(/.f64 (neg.f64 v) (neg.f64 (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v))) |
(/.f64 v (/.f64 #s(literal 1 binary64) e)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(*.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) |
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) |
(/.f64 (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(neg.f64 (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))) |
(*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (neg.f64 (*.f64 (*.f64 v v) #s(literal -1/604800 binary64))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) (*.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (neg.f64 (*.f64 (*.f64 v v) #s(literal -1/604800 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (neg.f64 (*.f64 (*.f64 v v) #s(literal -1/604800 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (neg.f64 (*.f64 (*.f64 v v) #s(literal -1/604800 binary64))))) (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) v) v #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))) |
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) |
(fma.f64 v (*.f64 #s(literal -1/5040 binary64) v) #s(literal 1/120 binary64)) |
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))) |
(+.f64 (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))) |
Compiled 24 149 to 2 346 computations (90.3% saved)
48 alts after pruning (41 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 069 | 11 | 1 080 |
| Fresh | 9 | 30 | 39 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 080 | 48 | 1 128 |
| Status | Accuracy | Program |
|---|---|---|
| 97.8% | (/.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 97.9% | (/.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 e) (sin.f64 v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 97.9% | (/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 98.3% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e)))))) | |
| 51.4% | (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) | |
| 51.5% | (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) | |
| 98.1% | (/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e)) | |
| 52.3% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) | |
| 52.5% | (/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #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))) |
| 97.3% | (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) | |
| 53.8% | (/.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))) | |
| 52.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) | |
| 96.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) | |
| 96.7% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v))) | |
| 50.7% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (/.f64 #s(literal -1 binary64) e))) | |
| 95.8% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) | |
| 52.4% | (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e))) | |
| 51.0% | (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e))) | |
| 52.4% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) | |
| 51.1% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| ✓ | 98.3% | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e) |
| 98.3% | (*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) | |
| 71.8% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (-.f64 (*.f64 (sin.f64 v) (sin.f64 v)) (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (sin.f64 v)))))) e) | |
| ✓ | 98.5% | (*.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) |
| 58.2% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (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)) (sin.f64 v))) e) | |
| 97.7% | (*.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) | |
| 97.5% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| 51.7% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e) | |
| 51.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) | |
| 52.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64)))))) | |
| 52.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) | |
| 52.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) | |
| 98.4% | #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))) | |
| ✓ | 52.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
| 52.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) | |
| 52.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) | |
| 52.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) | |
| 51.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 40.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v)))) | |
| 51.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v))))) | |
| 52.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) | |
| ✓ | 51.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
| 46.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e))) | |
| 51.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) | |
| 27.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e))) | |
| ✓ | 51.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
Compiled 1 961 to 683 computations (65.2% 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 (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) |
#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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v 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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) 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)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 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)) (neg.f64 e)) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (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)) (sin.f64 v))) e) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (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)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (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 #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #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 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e)))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 #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)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 e) (sin.f64 v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (-.f64 (*.f64 (sin.f64 v) (sin.f64 v)) (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (sin.f64 v)))))) e) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
3 calls:
| 21.0ms | e |
| 21.0ms | v |
| 21.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | e |
| 99.8% | 1 | v |
| 99.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) |
#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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v 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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) 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)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 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)) (neg.f64 e)) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (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)) (sin.f64 v))) e) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (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)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (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 #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #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 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e)))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
3 calls:
| 20.0ms | v |
| 19.0ms | e |
| 17.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | e |
| 99.8% | 1 | v |
| 99.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) |
#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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v 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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) 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)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 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)) (neg.f64 e)) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (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)) (sin.f64 v))) e) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (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)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (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 #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #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 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e)))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(*.f64 #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 | v |
| 18.0ms | e |
| 17.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | e |
| 98.5% | 1 | v |
| 98.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) |
#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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v 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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) 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)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 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)) (neg.f64 e)) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (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)) (sin.f64 v))) e) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (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)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (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 #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #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 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e)))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
| 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:
| 18.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 18.0ms | e |
| 17.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | e |
| 98.4% | 1 | v |
| 98.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) |
#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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v 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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) 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)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 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)) (neg.f64 e)) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (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)) (sin.f64 v))) e) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (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)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (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 #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #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 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e)))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e)))))) |
3 calls:
| 18.0ms | e |
| 17.0ms | v |
| 16.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | e |
| 98.3% | 1 | v |
| 98.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) |
#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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v 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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) 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)))) |
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 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)) (neg.f64 e)) (sin.f64 v))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (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)) (sin.f64 v))) e) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (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)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (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 #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
3 calls:
| 18.0ms | e |
| 17.0ms | v |
| 16.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | e |
| 98.3% | 1 | v |
| 98.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) |
#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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v 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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) 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) |
| Outputs |
|---|
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v)) |
3 calls:
| 14.0ms | v |
| 14.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 14.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | e |
| 98.3% | 1 | v |
| 98.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) |
#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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v 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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) 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:
| 16.0ms | v |
| 13.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 13.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | e |
| 97.7% | 1 | v |
| 97.7% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) |
#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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v 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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) 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:
| 15.0ms | e |
| 15.0ms | v |
| 12.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | e |
| 97.5% | 1 | v |
| 97.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) |
#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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v 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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v))) |
| Outputs |
|---|
(/.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))) |
3 calls:
| 23.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 15.0ms | v |
| 12.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.8% | 1 | e |
| 53.8% | 1 | v |
| 53.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) |
#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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v 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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64)))))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) |
3 calls:
| 12.0ms | e |
| 12.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 10.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 52.5% | 1 | e |
| 52.5% | 1 | v |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
3 calls:
| 6.0ms | e |
| 5.0ms | v |
| 5.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 1 | e |
| 52.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 52.5% | 1 | v |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
3 calls:
| 4.0ms | v |
| 4.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 3.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 1 | e |
| 52.0% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 52.0% | 1 | v |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e)))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
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 |
|---|---|---|
| 51.9% | 1 | e |
| 51.9% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 51.9% | 1 | v |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) |
| 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 | e |
| 2.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 2.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | e |
| 51.9% | 1 | v |
| 51.9% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
Total -16.3b remaining (-52.8%)
Threshold costs -16.3b (-52.8%)
| 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 (/ v (/ (+ 1 e) e)) (*.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 | v |
| 2.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.7% | 1 | e |
| 51.7% | 1 | v |
| 51.7% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
| 42× | *-commutative_binary64 |
| 20× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 334 |
| 1 | 122 | 334 |
| 2 | 139 | 334 |
| 3 | 149 | 334 |
| 4 | 151 | 334 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(*.f64 #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 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e)))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) |
(*.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 #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 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e 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 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) 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 v e))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(*.f64 #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 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e)))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e)) (-.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) e)))) |
(/.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 (/.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 #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 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 e v) 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 (-.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 |
| 14 862× | lower-fma.f64 |
| 14 862× | lower-fma.f32 |
| 12 764× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 319 | 4945 |
| 1 | 989 | 4817 |
| 2 | 2827 | 4645 |
| 0 | 8152 | 4379 |
| 0 | 9 | 29 |
| 0 | 15 | 29 |
| 1 | 42 | 29 |
| 2 | 241 | 29 |
| 3 | 2097 | 29 |
| 0 | 8370 | 27 |
| 0 | 433 | 6766 |
| 1 | 1375 | 6561 |
| 2 | 4070 | 6345 |
| 0 | 8605 | 6025 |
| 0 | 338 | 5992 |
| 1 | 1031 | 5874 |
| 2 | 2984 | 5736 |
| 0 | 8174 | 5362 |
| 0 | 27 | 126 |
| 0 | 43 | 119 |
| 1 | 152 | 115 |
| 2 | 779 | 115 |
| 3 | 7947 | 115 |
| 0 | 8503 | 115 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 540 to 249 computations (53.9% saved)
(negabs v)
Compiled 630 to 290 computations (54% saved)
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