
Time bar (total: 5.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 3 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 4 |
| 87.5% | 21.8% | 3.1% | 75% | 0% | 0% | 0% | 5 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 6 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 7 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 8 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 9 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 10 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 11 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 1.4s | 8 256× | 0 | valid |
ival-sin: 588.0ms (48.7% of total)ival-mult: 226.0ms (18.7% of total)ival-cos: 158.0ms (13.1% of total)ival-<=: 110.0ms (9.1% of total)ival-div: 51.0ms (4.2% of total)ival-add: 46.0ms (3.8% of total)ival-and: 12.0ms (1% of total)exact: 11.0ms (0.9% of total)adjust: 3.0ms (0.2% of total)ival-assert: 3.0ms (0.2% 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 |
| 79.0ms | 512× | 0 | valid |
Compiled 79 to 31 computations (60.8% saved)
ival-sin: 37.0ms (58.3% of total)ival-cos: 13.0ms (20.5% of total)ival-mult: 7.0ms (11% of total)ival-div: 3.0ms (4.7% of total)ival-add: 3.0ms (4.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 61 |
| 1 | 76 | 57 |
| 2 | 167 | 55 |
| 3 | 335 | 55 |
| 4 | 680 | 55 |
| 5 | 1664 | 55 |
| 6 | 6940 | 55 |
| 0 | 9 | 11 |
| 0 | 15 | 11 |
| 1 | 32 | 11 |
| 2 | 52 | 11 |
| 3 | 102 | 11 |
| 4 | 241 | 11 |
| 5 | 777 | 11 |
| 6 | 4461 | 11 |
| 0 | 8071 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(negabs v)
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 11 to 9 computations (18.2% saved)
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 | 1 | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 0 | 15 | 32 |
| 1 | 32 | 32 |
| 2 | 52 | 32 |
| 3 | 102 | 32 |
| 4 | 241 | 32 |
| 5 | 777 | 32 |
| 6 | 4461 | 32 |
| 0 | 8071 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 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 | 0.0 | (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 (cos.f64 v)) | |
| accuracy | 0.12890625 | (*.f64 e (sin.f64 v)) |
| 27.0ms | 256× | 0 | valid |
Compiled 34 to 11 computations (67.6% saved)
ival-sin: 8.0ms (40.4% of total)ival-cos: 5.0ms (25.3% of total)ival-mult: 3.0ms (15.2% of total)ival-div: 1.0ms (5.1% of total)ival-add: 1.0ms (5.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.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 |
|---|
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 1)) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (* e (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v)))) |
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v)))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (cos v)))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (+ (cos v) (/ 1 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -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))))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 e))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2))))))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* 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)))))) |
#s(approx (* e (sin v)) #s(hole binary64 (* e v))) |
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2))))))) |
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))))) |
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))))) |
#s(approx (sin v) #s(hole binary64 v)) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2)))))) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) |
#s(approx (* e (cos v)) #s(hole binary64 e)) |
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2)))))) |
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))) |
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))) |
#s(approx (cos v) #s(hole binary64 1)) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2))))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (sin v) #s(hole binary64 (sin v))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
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 | 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 | v | @ | 0 | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 2.0ms | e | @ | inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 1.0ms | v | @ | inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 239 | 1173 |
| 1 | 687 | 1161 |
| 2 | 2273 | 1088 |
| 0 | 8199 | 1026 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 1)) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (* e (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v)))) |
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v)))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (cos v)))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (+ (cos v) (/ 1 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -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))))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 e))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2))))))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* 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)))))) |
#s(approx (* e (sin v)) #s(hole binary64 (* e v))) |
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2))))))) |
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))))) |
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))))) |
#s(approx (sin v) #s(hole binary64 v)) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2)))))) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) |
#s(approx (* e (cos v)) #s(hole binary64 e)) |
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2)))))) |
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))) |
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))) |
#s(approx (cos v) #s(hole binary64 1)) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2))))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (sin v) #s(hole binary64 (sin v))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
| Outputs |
|---|
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 1)) |
#s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (* e (cos v))))) |
#s(approx (+ 1 (* e (cos v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.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)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (neg.f64 (cos.f64 v)) #s(literal 3 binary64)) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e)) |
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v)))) |
#s(approx (* e (sin v)) (*.f64 (sin.f64 v) e)) |
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v)))) |
#s(approx (* e (cos v)) (*.f64 (cos.f64 v) e)) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (cos v)))) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (cos.f64 v) e)) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (+ (cos v) (/ 1 e))))) |
#s(approx (+ 1 (* e (cos v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (cos.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (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) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))))) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (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) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -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))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 e))) |
#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2))))))) |
#s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))) |
#s(approx (+ 1 (* e (cos v))) (fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/24 binary64) v) v #s(literal -1/2 binary64))) (*.f64 v v) (-.f64 e #s(literal -1 binary64)))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))) |
#s(approx (+ 1 (* e (cos v))) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 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)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (/.f64 e (-.f64 e #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))))) (-.f64 e #s(literal -1 binary64)))) (*.f64 v v) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (-.f64 e #s(literal -1 binary64)))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* 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)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1/720 binary64) e) (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (/.f64 e (-.f64 e #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))))) (-.f64 e #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/24 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))))) (-.f64 e #s(literal -1 binary64))))) (*.f64 v v) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (/.f64 e (-.f64 e #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))))) (-.f64 e #s(literal -1 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (-.f64 e #s(literal -1 binary64)))) v)) |
#s(approx (* e (sin v)) #s(hole binary64 (* e v))) |
#s(approx (* e (sin v)) (*.f64 v e)) |
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2))))))) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v)) |
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))))) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))) (*.f64 v v) e) v)) |
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))))) |
#s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/5040 binary64) e) (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))) |
#s(approx (sin v) #s(hole binary64 v)) |
#s(approx (sin v) v) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2)))))) |
#s(approx (sin v) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))) |
#s(approx (sin v) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) v)) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) |
#s(approx (sin v) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64))) v)) |
#s(approx (* e (cos v)) #s(hole binary64 e)) |
#s(approx (* e (cos v)) e) |
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2)))))) |
#s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)) |
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))) |
#s(approx (* e (cos v)) (fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/24 binary64) v) v #s(literal -1/2 binary64))) (*.f64 v v) e)) |
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))) |
#s(approx (* e (cos v)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e))) |
#s(approx (cos v) #s(hole binary64 1)) |
#s(approx (cos v) #s(literal 1 binary64)) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2))))) |
#s(approx (cos v) (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))))) |
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))))) |
#s(approx (cos v) (fma.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64))) (*.f64 v v) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) |
#s(approx (sin v) #s(hole binary64 (sin v))) |
#s(approx (sin v) (sin.f64 v)) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
#s(approx (cos v) (cos.f64 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 0 | 15 | 29 |
| 1 | 49 | 29 |
| 0 | 282 | 27 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) |
(/.f64 (+.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 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) e) (cos.f64 v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) |
(-.f64 (*.f64 (cos.f64 v) e) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) e)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v))) |
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) 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) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e) |
(*.f64 (*.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(*.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)) |
(fma.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v)) |
(cos.f64 (neg.f64 (neg.f64 v))) |
(cos.f64 (neg.f64 v)) |
(cos.f64 v) |
(+.f64 (*.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
Compiled 1 904 to 368 computations (80.7% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 82 | 6 | 88 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 83 | 6 | 89 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ▶ | 99.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) |
| 99.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e)) | |
| ▶ | 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
| ▶ | 99.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
| ▶ | 98.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
Compiled 236 to 170 computations (28% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) | |
| 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 | (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) | |
| cost-diff | 0 | (-.f64 e #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 e (-.f64 e #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) | |
| cost-diff | 0 | (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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 191 |
| 0 | 46 | 187 |
| 1 | 74 | 187 |
| 2 | 115 | 187 |
| 3 | 263 | 187 |
| 4 | 899 | 187 |
| 5 | 4506 | 187 |
| 0 | 8140 | 187 |
| 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 |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(*.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)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) |
(sin.f64 v) |
v |
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
(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)) |
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) |
(/.f64 e (-.f64 e #s(literal -1 binary64))) |
e |
(-.f64 e #s(literal -1 binary64)) |
#s(literal -1 binary64) |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
v |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (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)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) |
(sin.f64 v) |
v |
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
(cos.f64 v) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) | |
| accuracy | 0.185878759768442 | (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) | |
| accuracy | 0.5301103483792622 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.12890625 | (*.f64 (sin.f64 v) e) | |
| accuracy | 1.0550150546464605 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) | |
| accuracy | 0.0 | (-.f64 e #s(literal -1 binary64)) | |
| accuracy | 0.015625 | (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) | |
| accuracy | 0.01953125 | (/.f64 e (-.f64 e #s(literal -1 binary64))) | |
| accuracy | 32.32846208321541 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.015625 | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.12890625 | (*.f64 (sin.f64 v) e) |
| 74.0ms | 256× | 0 | valid |
Compiled 163 to 27 computations (83.4% saved)
ival-cos: 26.0ms (44.5% of total)ival-mult: 12.0ms (20.5% of total)ival-div: 7.0ms (12% of total)ival-sin: 6.0ms (10.3% of total)ival-add: 4.0ms (6.8% of total)ival-sub: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(*.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)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) |
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v)))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 1)) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e v))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 e)) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1)))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))))) |
#s(approx (- e -1) #s(hole binary64 1)) |
#s(approx (- e -1) #s(hole binary64 (+ 1 e))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (* -1 (* e (cos v)))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ 1 e))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (cos v)))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 v)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 1)) |
#s(approx (/ e (- e -1)) #s(hole binary64 (- 1 (/ 1 e)))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (/ 1 e)))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))))) |
#s(approx (- e -1) #s(hole binary64 e)) |
#s(approx (- e -1) #s(hole binary64 (* e (+ 1 (/ 1 e))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v)))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (* -1 (* e (cos v))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (* e (+ (* -1 (cos v)) (/ 1 e))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (cos v))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e)))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -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))))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -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))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (* -1 (* e (- (cos v) (/ 1 e)))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* 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)))))) |
#s(approx (* (sin v) e) #s(hole binary64 (* e v))) |
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2))))))) |
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))))) |
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))))) |
#s(approx (sin v) #s(hole binary64 v)) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2)))))) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 e))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2))))))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* 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)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* 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)))))))))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* 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))))))))))))))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (* -1 e)))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2))))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e)))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))))) |
#s(approx (cos v) #s(hole binary64 1)) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2))))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (sin v) #s(hole binary64 (sin v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | 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)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v)) |
| 6.0ms | 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)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v)) |
| 5.0ms | 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)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v)) |
| 4.0ms | 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)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v)) |
| 3.0ms | e | @ | 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)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 3779 |
| 1 | 1633 | 3632 |
| 2 | 5991 | 3544 |
| 0 | 8430 | 3367 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v)))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 1)) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e v))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 e)) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1)))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))))) |
#s(approx (- e -1) #s(hole binary64 1)) |
#s(approx (- e -1) #s(hole binary64 (+ 1 e))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (* -1 (* e (cos v)))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ 1 e))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (cos v)))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 v)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 1)) |
#s(approx (/ e (- e -1)) #s(hole binary64 (- 1 (/ 1 e)))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (/ 1 e)))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))))) |
#s(approx (- e -1) #s(hole binary64 e)) |
#s(approx (- e -1) #s(hole binary64 (* e (+ 1 (/ 1 e))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v)))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (* -1 (* e (cos v))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (* e (+ (* -1 (cos v)) (/ 1 e))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (cos v))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e)))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -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))))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -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))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (* -1 (* e (- (cos v) (/ 1 e)))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* 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)))))) |
#s(approx (* (sin v) e) #s(hole binary64 (* e v))) |
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2))))))) |
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))))) |
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))))) |
#s(approx (sin v) #s(hole binary64 v)) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2)))))) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 e))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2))))))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* 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)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* 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)))))))))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* 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))))))))))))))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (* -1 e)))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2))))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))))) |
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e)))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))))) |
#s(approx (cos v) #s(hole binary64 1)) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2))))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (sin v) #s(hole binary64 (sin v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
| Outputs |
|---|
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e)) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e)) |
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v)))) |
#s(approx (* (sin v) e) (*.f64 (sin.f64 v) e)) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 1)) |
#s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v))))) |
#s(approx (+ (* (cos v) e) 1) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e v))) |
#s(approx (* (/ e (- e -1)) v) (*.f64 e v)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* (/ e (- e -1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* (/ e (- e -1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 e v) v) e v) e)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (* (/ e (- e -1)) v) (*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (neg.f64 v)) e v) e)) |
#s(approx (/ e (- e -1)) #s(hole binary64 e)) |
#s(approx (/ e (- e -1)) e) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e))))) |
#s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1)))))) |
#s(approx (/ e (- e -1)) (*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))))) |
#s(approx (/ e (- e -1)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) |
#s(approx (- e -1) #s(hole binary64 1)) |
#s(approx (- e -1) #s(literal 1 binary64)) |
#s(approx (- e -1) #s(hole binary64 (+ 1 e))) |
#s(approx (- e -1) (-.f64 e #s(literal -1 binary64))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (sin.f64 v) e)) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v))) |
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#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64))) (/.f64 #s(literal -1/24 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (/.f64 (-.f64 e #s(literal -1 binary64)) e)) #s(literal 1/24 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64))) (/.f64 #s(literal -1/24 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) #s(literal -1/2 binary64) #s(literal 1/5040 binary64))) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (*.f64 v v) (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64))) (/.f64 #s(literal -1/24 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) (*.f64 v v) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e)))) |
#s(approx (+ (/ 1 e) (cos v)) (/.f64 (-.f64 e #s(literal -1 binary64)) e)) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))))) |
#s(approx (+ (/ 1 e) (cos v)) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))))) |
#s(approx (+ (/ 1 e) (cos v)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) v) v (/.f64 (-.f64 e #s(literal -1 binary64)) e))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))))) |
#s(approx (+ (/ 1 e) (cos v)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) v) v (/.f64 (-.f64 e #s(literal -1 binary64)) e))) |
#s(approx (cos v) #s(hole binary64 1)) |
#s(approx (cos v) #s(literal 1 binary64)) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2))))) |
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))))) |
#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(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))))) |
#s(approx (cos v) (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))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))) |
#s(approx (sin v) #s(hole binary64 (sin v))) |
#s(approx (sin v) (sin.f64 v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
#s(approx (cos v) (cos.f64 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 158 |
| 0 | 46 | 154 |
| 1 | 152 | 154 |
| 0 | 966 | 154 |
| 1× | iter limit |
| 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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(*.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)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) |
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 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 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #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))) (fma.f64 (*.f64 (cos.f64 v) e) (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))) (sin.f64 v)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (neg.f64 e) (cos.f64 v))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 v) e) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) e) (cos.f64 v) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) (*.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 e (*.f64 (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (cos.f64 v) e) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e))) |
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)) |
(*.f64 (/.f64 (*.f64 e v) (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) |
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) |
(*.f64 e (/.f64 v (-.f64 e #s(literal -1 binary64)))) |
(*.f64 v (/.f64 e (-.f64 e #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 e) v) (neg.f64 (-.f64 e #s(literal -1 binary64)))) |
(/.f64 (*.f64 v (neg.f64 e)) (neg.f64 (-.f64 e #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 e v)) (neg.f64 (-.f64 e #s(literal -1 binary64)))) |
(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))) |
(*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)) |
(*.f64 (/.f64 e (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 e)) (neg.f64 (neg.f64 (-.f64 e #s(literal -1 binary64))))) |
(/.f64 (neg.f64 e) (neg.f64 (-.f64 e #s(literal -1 binary64)))) |
(/.f64 e (-.f64 e #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 e) (-.f64 e #s(literal -1 binary64)))) |
(neg.f64 (/.f64 e (neg.f64 (-.f64 e #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 e e #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) e))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))) |
(/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e)) |
(/.f64 (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e))) |
(-.f64 (/.f64 (pow.f64 e #s(literal 3 binary64)) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))) |
(-.f64 e #s(literal -1 binary64)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
(*.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 e (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 e (sin.f64 v))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #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))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64)) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) (-.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v) (*.f64 #s(literal 1 binary64) (sin.f64 v))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 v) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v))) |
(fma.f64 (sin.f64 v) (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 v) #s(literal 1 binary64) (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(+.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v))) |
(+.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (cos.f64 v))) (*.f64 (sin.f64 v) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (cos.f64 v) e)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (neg.f64 e) (cos.f64 v))))) |
(/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (cos.f64 v)) e #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) (*.f64 (neg.f64 e) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) |
(fma.f64 e (neg.f64 (cos.f64 v)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e))) |
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(+.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (*.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))) |
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) |
(-.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(+.f64 (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))) |
(+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) |
(+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) |
(fma.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v)) |
(cos.f64 (neg.f64 (neg.f64 v))) |
(cos.f64 (neg.f64 v)) |
(cos.f64 v) |
(+.f64 (*.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
Compiled 8 433 to 1 139 computations (86.5% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 281 | 22 | 303 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 284 | 25 | 309 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) | |
| ▶ | 99.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
| ▶ | 98.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
| 99.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v) (*.f64 #s(literal 1 binary64) (sin.f64 v))) e)) | |
| 99.0% | #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)))) | |
| 30.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))) | |
| 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v)) | |
| ✓ | 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
| 98.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) | |
| ✓ | 98.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) 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)) |
| 48.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 48.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) | |
| 48.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| ▶ | 48.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
| 98.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)) e)) | |
| 48.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) | |
| 49.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)))) | |
| 2.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) | |
| ▶ | 4.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
| 70.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) | |
| 48.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) | |
| 47.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) | |
| 47.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
Compiled 1 375 to 906 computations (34.1% saved)
Found 18 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 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) | |
| cost-diff | 0 | #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| cost-diff | 3 | (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) | |
| cost-diff | 0 | #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | #s(approx (* (/ e (- e -1)) v) v) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) | |
| cost-diff | 3 | (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 358 |
| 0 | 69 | 349 |
| 1 | 115 | 332 |
| 2 | 236 | 332 |
| 3 | 704 | 332 |
| 4 | 3122 | 332 |
| 0 | 8252 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) |
(sin.f64 v) |
v |
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
(pow.f64 e #s(literal -1/2 binary64)) |
e |
#s(literal -1/2 binary64) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
#s(approx (* (/ e (- e -1)) v) v) |
v |
#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)) |
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) |
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) e) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) |
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
#s(literal 1/2 binary64) |
e |
(fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1/6 binary64) |
v |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))) |
(sin.f64 v) |
v |
#s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(sin.f64 v) |
v |
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(pow.f64 e #s(literal -1/2 binary64)) |
e |
#s(literal -1/2 binary64) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
#s(approx (* (/ e (- e -1)) v) v) |
v |
#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 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))) v)) |
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) |
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))) v) |
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) |
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
(-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) e) |
(pow.f64 e #s(literal -1 binary64)) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) |
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) |
#s(literal 1/2 binary64) |
e |
(fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1/6 binary64) |
v |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64))))) |
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64)))) |
(sin.f64 v) |
v |
#s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)) |
#s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) e) |
(pow.f64 e #s(literal -1 binary64)) |
#s(literal 1 binary64) |
e |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) | |
| accuracy | 0.185878759768442 | (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))) | |
| accuracy | 1.0522563972601133 | #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.1328125 | (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e) | |
| accuracy | 0.34375 | (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) | |
| accuracy | 0.5301103483792622 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| accuracy | 32.73121020440649 | #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) | |
| accuracy | 0.015625 | (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) | |
| accuracy | 0.019167541389095776 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) | |
| accuracy | 32.32846208321541 | #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)) | |
| accuracy | 62.99849726595819 | #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) | |
| accuracy | 32.32846208321541 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) | |
| accuracy | 60.184713639074076 | #s(approx (* (/ e (- e -1)) v) v) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) | |
| accuracy | 0.185878759768442 | (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) | |
| accuracy | 0.5006637695368841 | (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
| 123.0ms | 256× | 0 | valid |
Compiled 236 to 41 computations (82.6% saved)
ival-add: 31.0ms (34.1% of total)ival-mult: 19.0ms (20.9% of total)ival-div: 7.0ms (7.7% of total)ival-sin: 7.0ms (7.7% of total)ival-cos: 7.0ms (7.7% of total)ival-pow: 7.0ms (7.7% of total)const: 6.0ms (6.6% of total)ival-sub: 4.0ms (4.4% of total)ival-neg: 3.0ms (3.3% of total)exact: 1.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
#s(approx (* (/ e (- e -1)) v) v) |
#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)) |
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) |
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))) |
#s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)) |
(cos.f64 v) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) |
| Outputs |
|---|
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (/ 1 e))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e v))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 e)) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1)))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))))) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (/ -1 e))) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (/ (- e 1) e))) |
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 -1/6)) |
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (- (* 2/3 e) 1/6))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ 1 e))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* -1/6 v))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (+ (* -1/6 v) (* 2/3 (* e v))))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (cos v))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 v)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 1)) |
#s(approx (/ e (- e -1)) #s(hole binary64 (- 1 (/ 1 e)))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (/ 1 e)))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))))) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 1)) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (- 1 (/ 1 e)))) |
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (* 2/3 e))) |
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (* e (- 2/3 (* 1/6 (/ 1 e)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v)))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (cos v))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e)))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* 2/3 (* e v)))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* e (+ (* -1/6 (/ v e)) (* 2/3 v))))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -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))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2)))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))))) |
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e))))))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (/ 1 e)))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* 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)))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (sin v) #s(hole binary64 v)) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2)))))) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* 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)))))))))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* 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))))))))))))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e)))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))))) |
#s(approx (cos v) #s(hole binary64 1)) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2))))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* v (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (sin v) #s(hole binary64 (sin v))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | v | @ | inf | ((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v)) |
| 3.0ms | e | @ | -inf | ((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v)) |
| 3.0ms | v | @ | -inf | ((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v)) |
| 3.0ms | v | @ | 0 | ((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v)) |
| 2.0ms | e | @ | 0 | ((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 552 | 3698 |
| 1 | 1569 | 3524 |
| 2 | 5808 | 3389 |
| 0 | 8471 | 3244 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (/ 1 e))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e v))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 e)) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1)))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))))) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (/ -1 e))) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (/ (- e 1) e))) |
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 -1/6)) |
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (- (* 2/3 e) 1/6))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ 1 e))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* -1/6 v))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (+ (* -1/6 v) (* 2/3 (* e v))))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (cos v))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 v)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 1)) |
#s(approx (/ e (- e -1)) #s(hole binary64 (- 1 (/ 1 e)))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (/ 1 e)))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))))) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 1)) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (- 1 (/ 1 e)))) |
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (* 2/3 e))) |
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (* e (- 2/3 (* 1/6 (/ 1 e)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v)))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (- (+ (* -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))))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (cos v))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e)))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* 2/3 (* e v)))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* e (+ (* -1/6 (/ v e)) (* 2/3 v))))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -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))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2)))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))))) |
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e))))))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (/ 1 e)))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* 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)))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (sin v) #s(hole binary64 v)) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2)))))) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))) |
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* 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)))))))))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* 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))))))))))))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e)))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))))) |
#s(approx (cos v) #s(hole binary64 1)) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2))))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* v (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (sin v) #s(hole binary64 (sin v))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v))))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
| Outputs |
|---|
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (/ 1 e))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (pow.f64 e #s(literal -1 binary64))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
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#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) e (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e))) v)) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* 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)))))))))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* 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))))))))))))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (/.f64 v (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 v (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 v v) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 v (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/24 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1/2 binary64) #s(literal 1/5040 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))) (*.f64 v v) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 v (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e)))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))))) |
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos v) #s(hole binary64 1)) |
#s(approx (cos v) #s(literal 1 binary64)) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2))))) |
#s(approx (cos v) (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))))) |
#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(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))))) |
#s(approx (cos v) (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))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* v (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
#s(approx (sin v) #s(hole binary64 (sin v))) |
#s(approx (sin v) (sin.f64 v)) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
#s(approx (cos v) (cos.f64 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 294 |
| 0 | 69 | 285 |
| 1 | 239 | 272 |
| 0 | 1827 | 262 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
#s(approx (* (/ e (- e -1)) v) v) |
#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)) |
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) |
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))) |
#s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)) |
(cos.f64 v) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (*.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/4 binary64))) (pow.f64 e #s(literal -1/4 binary64)) (cos.f64 v)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (cos.f64 v)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (cos.f64 v)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 v)) |
(fma.f64 (neg.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)) |
(fma.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (neg.f64 e)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64) (cos.f64 v)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 e #s(literal -1 binary64))) (cos.f64 v)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
(-.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(-.f64 (cos.f64 v) (*.f64 (neg.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 e #s(literal -1/2 binary64))))) |
(-.f64 (cos.f64 v) (*.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))) |
(-.f64 (cos.f64 v) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (neg.f64 (pow.f64 e #s(literal -1/2 binary64))))) |
(+.f64 (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))) |
(+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) |
(+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
#s(approx (* (/ e (- e -1)) v) v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))) v)) |
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))) v) |
(*.f64 v #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))))) |
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (-.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 e #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (pow.f64 e #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (pow.f64 e #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 e #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (pow.f64 e #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 e #s(literal -1/2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (neg.f64 (pow.f64 e #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 e #s(literal 2/3 binary64)) (*.f64 e #s(literal 2/3 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal -1/6 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 e e))) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))) |
(/.f64 (+.f64 (pow.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (fma.f64 (*.f64 e #s(literal 2/3 binary64)) (*.f64 e #s(literal 2/3 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (*.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))) |
(fma.f64 #s(literal 1/6 binary64) e (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e))) |
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
(fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) |
(fma.f64 e #s(literal 1/6 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e))) |
(fma.f64 e #s(literal 1/2 binary64) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))) |
(-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) e)) |
(-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 (neg.f64 e) #s(literal 1/2 binary64))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) e)) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) e) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))))) |
(+.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal -1/6 binary64)) |
(+.f64 (*.f64 #s(literal 1/6 binary64) e) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
(+.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e) |
(*.f64 e #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64))))) |
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64)))))) |
#s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64))) |
(fma.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v)) |
(cos.f64 (neg.f64 (neg.f64 v))) |
(cos.f64 (neg.f64 v)) |
(cos.f64 v) |
(+.f64 (*.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) |
(*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64))) v) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))) v) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))) |
(/.f64 (*.f64 v (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 v (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))) |
(fma.f64 (*.f64 e #s(literal 2/3 binary64)) v (*.f64 #s(literal -1/6 binary64) v)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) e) v (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v (*.f64 (*.f64 #s(literal 1/2 binary64) e) v)) |
(fma.f64 v (*.f64 e #s(literal 2/3 binary64)) (*.f64 v #s(literal -1/6 binary64))) |
(fma.f64 v (*.f64 #s(literal 1/2 binary64) e) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) |
(fma.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 v (*.f64 #s(literal 1/2 binary64) e))) |
(+.f64 (*.f64 (*.f64 e #s(literal 2/3 binary64)) v) (*.f64 #s(literal -1/6 binary64) v)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v)) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) (*.f64 (*.f64 #s(literal 1/2 binary64) e) v)) |
(+.f64 (*.f64 v (*.f64 e #s(literal 2/3 binary64))) (*.f64 v #s(literal -1/6 binary64))) |
(+.f64 (*.f64 v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (*.f64 v (*.f64 #s(literal 1/2 binary64) e))) |
Compiled 8 236 to 1 136 computations (86.2% saved)
27 alts after pruning (22 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 208 | 10 | 218 |
| Fresh | 5 | 12 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 216 | 27 | 243 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ▶ | 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) |
| ▶ | 99.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))) |
| 98.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) #s(approx (cos v) #s(literal 1 binary64))))) | |
| ✓ | 98.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
| 48.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) | |
| 99.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v) (*.f64 #s(literal 1 binary64) (sin.f64 v))) e)) | |
| 99.0% | #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)))) | |
| 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v)) | |
| ✓ | 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
| 98.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) | |
| ✓ | 98.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| 48.8% | #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)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) | |
| ▶ | 48.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
| ▶ | 48.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)) |
| ▶ | 48.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
| 48.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 48.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 48.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) | |
| 2.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) | |
| ✓ | 4.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
| 70.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) | |
| 48.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) | |
| 48.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) | |
| 47.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) | |
| 47.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
Compiled 1 513 to 992 computations (34.4% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| cost-diff | 3 | (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) | |
| cost-diff | 3 | (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) | |
| cost-diff | 0 | (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v)) | |
| cost-diff | 0 | #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)) | |
| cost-diff | 0 | (-.f64 e #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 e v) | |
| cost-diff | 0 | (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ e (- e -1)) e) | |
| cost-diff | 0 | (*.f64 #s(approx (/ e (- e -1)) e) v) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))) | |
| cost-diff | 2 | (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) | |
| cost-diff | 5 | (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 602 |
| 0 | 106 | 602 |
| 1 | 182 | 553 |
| 2 | 474 | 539 |
| 3 | 2441 | 539 |
| 0 | 8150 | 517 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))) |
(sin.f64 v) |
v |
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)) |
(pow.f64 e #s(literal -1/4 binary64)) |
e |
#s(literal -1/4 binary64) |
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) |
(pow.f64 e #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
(*.f64 #s(approx (/ e (- e -1)) e) v) |
#s(approx (/ e (- e -1)) e) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) |
(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))) |
(*.f64 e v) |
e |
v |
(-.f64 e #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) |
(-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v)) |
v |
(*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v) |
(fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) |
(fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) |
#s(literal -2/3 binary64) |
e |
#s(literal 1/6 binary64) |
(*.f64 v v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) |
(*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) |
(fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) |
e |
#s(literal 1/80 binary64) |
(fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal -1/5040 binary64) |
v |
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) |
#s(literal -1/8 binary64) |
(fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) |
#s(literal -1/120 binary64) |
#s(literal 1/120 binary64) |
(*.f64 v v) |
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) |
#s(literal 2/3 binary64) |
#s(literal -1/6 binary64) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))) |
(/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(sin.f64 v) |
v |
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)) |
(+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) |
(pow.f64 e #s(literal -1/4 binary64)) |
e |
#s(literal -1/4 binary64) |
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 e #s(literal -1/4 binary64)) #s(literal 3 binary64)) |
(pow.f64 e #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
(*.f64 #s(approx (/ e (- e -1)) e) v) |
#s(approx (/ e (- e -1)) e) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e)) |
(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))) |
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e) |
(*.f64 e v) |
(*.f64 v e) |
e |
v |
(-.f64 e #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v))) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v))) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v))) |
(-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v)) |
(-.f64 v (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v)) |
v |
(*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v) |
(*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v) |
(fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) |
(fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) |
(fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) |
#s(literal -2/3 binary64) |
e |
#s(literal 1/6 binary64) |
(*.f64 v v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) |
(*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) |
(fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) |
(fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) |
e |
#s(literal 1/80 binary64) |
(fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal -1/5040 binary64) |
v |
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) |
(fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) |
#s(literal -1/8 binary64) |
(fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) |
#s(literal -1/120 binary64) |
#s(literal 1/120 binary64) |
(*.f64 v v) |
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) |
#s(literal 2/3 binary64) |
#s(literal -1/6 binary64) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) | |
| accuracy | 0.1328125 | (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e) | |
| accuracy | 0.5301103483792622 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| accuracy | 32.688227261838534 | #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) | |
| accuracy | 0.1328125 | (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e) | |
| accuracy | 0.140625 | (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) | |
| accuracy | 0.5301103483792622 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)) | |
| accuracy | 32.73121020440649 | #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) | |
| accuracy | 0.0 | (-.f64 e #s(literal -1 binary64)) | |
| accuracy | 0.0 | (*.f64 e v) | |
| accuracy | 0.0234375 | (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))) | |
| accuracy | 32.32846208321541 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) | |
| accuracy | 0.015625 | (*.f64 #s(approx (/ e (- e -1)) e) v) | |
| accuracy | 1.0964584886185789 | #s(approx (/ e (- e -1)) e) | |
| accuracy | 32.32846208321541 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) | |
| accuracy | 0.0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))) | |
| accuracy | 0.185878759768442 | (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))) | |
| accuracy | 0.3515625 | (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)) | |
| accuracy | 0.35546875 | (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) |
| 152.0ms | 256× | 0 | valid |
Compiled 435 to 66 computations (84.8% saved)
ival-mult: 37.0ms (31.3% of total)const: 24.0ms (20.3% of total)ival-add: 14.0ms (11.8% of total)ival-neg: 12.0ms (10.1% of total)ival-pow: 10.0ms (8.5% of total)ival-div: 6.0ms (5.1% of total)ival-sin: 6.0ms (5.1% of total)ival-cos: 5.0ms (4.2% of total)ival-sub: 4.0ms (3.4% of total)exact: 1.0ms (0.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)) |
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
(*.f64 #s(approx (/ e (- e -1)) e) v) |
#s(approx (/ e (- e -1)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) |
(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))) |
(*.f64 e v) |
(-.f64 e #s(literal -1 binary64)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) |
(-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v)) |
(fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) |
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e) |
(fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) |
| Outputs |
|---|
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (/ 1 e))) |
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e))) |
#s(approx (* (pow e -1/4) (pow e -1/2)) #s(hole binary64 (pow (/ 1 (pow e 3)) 1/4))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e v))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 e)) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1)))))) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))))) |
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e v))) |
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (* e v) #s(hole binary64 (* e v))) |
#s(approx (- e -1) #s(hole binary64 1)) |
#s(approx (- e -1) #s(hole binary64 (+ 1 e))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (- v (* 1/6 (pow v 3))))) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (- (+ v (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2))))))) (* 1/6 (pow v 3))))) |
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 -1/5040)) |
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (- (* 4/315 e) 1/5040))) |
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 1/120)) |
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 (+ 1/120 (* -2/15 e)))) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* 1/6 (pow v 2)))) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -2/3 (pow v 2))))))) |
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (* -1/5040 (pow v 2))))) |
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v)))) |
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#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (* e (- 4/315 (* 1/5040 (/ 1 e)))))) |
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 (* -2/15 e))) |
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#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v))))) |
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#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
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#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* -1 (* e (+ 2/15 (* -4/315 (pow v 2))))))) |
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#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
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#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) |
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | e | @ | 0 | ((+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (* (pow e -1/4) (pow e -1/2)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (* e v) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120)))) |
| 16.0ms | e | @ | -inf | ((+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (* (pow e -1/4) (pow e -1/2)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (* e v) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120)))) |
| 14.0ms | e | @ | inf | ((+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (* (pow e -1/4) (pow e -1/2)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (* e v) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120)))) |
| 8.0ms | v | @ | inf | ((+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (* (pow e -1/4) (pow e -1/2)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (* e v) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120)))) |
| 4.0ms | v | @ | -inf | ((+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (* (pow e -1/4) (pow e -1/2)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (* e v) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 661 | 4018 |
| 1 | 1869 | 3720 |
| 2 | 7442 | 3669 |
| 0 | 8125 | 3427 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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#s(approx (* (pow e -1/4) (pow e -1/2)) #s(hole binary64 (pow (/ 1 (pow e 3)) 1/4))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
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#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (sin v)))) |
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#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
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#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v))) |
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#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/5040 (pow v 2)) (* e (- (* 4/315 (pow v 2)) 2/15)))))) |
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (cos v))) |
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v)))) |
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* 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)))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))))) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* 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)))))))))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* 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))))))))))))))))) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* v (- 1 e)))) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* v (- (+ 1 (* -1 (* (pow v 2) (+ 1/6 (* -2/3 e))))) e)))) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 e)) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (+ e (* (pow v 2) (+ 1/6 (* -2/3 e)))))) |
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) |
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/8 e) (+ (* -1/120 e) (* (pow v 2) (- (+ (* 1/5040 e) (* 1/80 e)) 1/5040))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v))))))) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* (pow v 3) (+ 1/6 (* -2/3 e)))))) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* (pow v 3) (- (/ 1 (pow v 2)) (+ 1/6 (+ (* -2/3 e) (/ e (pow v 2)))))))) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* (pow v 2) (+ 1/6 (* -2/3 e))))) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* (pow v 2) (+ 1/6 (+ (* -2/3 e) (/ e (pow v 2))))))) |
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* (pow v 2) (- (+ (* 1/5040 e) (* 1/80 e)) 1/5040)))) |
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* (pow v 2) (- (+ (* -1/8 (/ e (pow v 2))) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (+ (* 1/80 e) (* 1/120 (/ 1 (pow v 2))))))) 1/5040)))) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* (pow v 3) (- (* -1 (/ (+ 1 (* -1 e)) (pow v 2))) (* -1 (+ 1/6 (* -2/3 e)))))))) |
| Outputs |
|---|
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (/ 1 e))) |
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (/.f64 #s(literal 1 binary64) e)) |
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e))) |
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
#s(approx (* (pow e -1/4) (pow e -1/2)) #s(hole binary64 (pow (/ 1 (pow e 3)) 1/4))) |
#s(approx (* (pow e -1/4) (pow e -1/2)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) #s(literal 1/4 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e (sin.f64 v)) e)) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e)) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))) |
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e (sin.f64 v)) e)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e v))) |
#s(approx (/ (* e v) (- e -1)) (*.f64 v e)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (/ (* e v) (- e -1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (/ (* e v) (- e -1)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ (* e v) (- e -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) v) e v) e)) |
#s(approx (/ e (- e -1)) #s(hole binary64 e)) |
#s(approx (/ e (- e -1)) e) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e))))) |
#s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1)))))) |
#s(approx (/ e (- e -1)) (*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) |
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))))) |
#s(approx (/ e (- e -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) |
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e v))) |
#s(approx (/ (* e v) (- e -1)) (*.f64 v e)) |
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (/ (* e v) (- e -1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)) |
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (/ (* e v) (- e -1)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)) |
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ (* e v) (- e -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) v) e v) e)) |
#s(approx (* e v) #s(hole binary64 (* e v))) |
#s(approx (* e v) (*.f64 v e)) |
#s(approx (- e -1) #s(hole binary64 1)) |
#s(approx (- e -1) #s(literal 1 binary64)) |
#s(approx (- e -1) #s(hole binary64 (+ 1 e))) |
#s(approx (- e -1) (+.f64 #s(literal 1 binary64) e)) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (sin.f64 v) e)) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (sin.f64 v)) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (- v (* 1/6 (pow v 3))))) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 v #s(literal 3 binary64)) v)) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (- (+ v (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2))))))) (* 1/6 (pow v 3))))) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -2/3 binary64) v) (neg.f64 e) v))) |
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 -1/5040)) |
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(literal -1/5040 binary64)) |
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (- (* 4/315 e) 1/5040))) |
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64))) |
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 1/120)) |
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(literal 1/120 binary64)) |
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 (+ 1/120 (* -2/15 e)))) |
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* 1/6 (pow v 2)))) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -2/3 (pow v 2))))))) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (fma.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) v) v e)) |
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (* -1/5040 (pow v 2))))) |
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) |
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/5040 (pow v 2)) (* e (- (* 4/315 (pow v 2)) 2/15)))))) |
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 (-.f64 (*.f64 #s(literal 4/315 binary64) (*.f64 v v)) #s(literal 2/15 binary64)) e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)))) |
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (cos v))) |
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (cos.f64 v)) |
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e)))) |
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (cos.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 v) (neg.f64 e)) (cos.f64 v)) (sin.f64 v)) (cos.f64 v))) |
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#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* (pow v 3) (- (/ 1 (pow v 2)) (+ 1/6 (+ (* -2/3 e) (/ e (pow v 2)))))))) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (fma.f64 #s(literal -2/3 binary64) e (/.f64 e (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* (pow v 2) (+ 1/6 (* -2/3 e))))) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) v) v)) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* (pow v 2) (+ 1/6 (+ (* -2/3 e) (/ e (pow v 2))))))) |
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) e (/.f64 e (*.f64 v v))) #s(literal -1/6 binary64)) v) v)) |
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* (pow v 2) (- (+ (* 1/5040 e) (* 1/80 e)) 1/5040)))) |
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v)) |
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* (pow v 2) (- (+ (* -1/8 (/ e (pow v 2))) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (+ (* 1/80 e) (* 1/120 (/ 1 (pow v 2))))))) 1/5040)))) |
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -2/15 binary64) (fma.f64 #s(literal 4/315 binary64) e (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))) #s(literal 1/5040 binary64)) v) v)) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* (pow v 3) (- (* -1 (/ (+ 1 (* -1 e)) (pow v 2))) (* -1 (+ 1/6 (* -2/3 e)))))))) |
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 #s(literal 1 binary64) e) v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 429 |
| 0 | 106 | 413 |
| 1 | 397 | 378 |
| 0 | 3321 | 363 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)) |
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
(*.f64 #s(approx (/ e (- e -1)) e) v) |
#s(approx (/ e (- e -1)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) |
(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))) |
(*.f64 e v) |
(-.f64 e #s(literal -1 binary64)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) |
(-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v)) |
(fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) |
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e) |
(fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) |
(fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 e #s(literal -3/4 binary64)) (pow.f64 e #s(literal -1/8 binary64))) (pow.f64 e #s(literal -1/8 binary64)) (cos.f64 v)) |
(fma.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)) |
(fma.f64 (fabs.f64 (pow.f64 e #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -1/8 binary64)) (*.f64 (pow.f64 e #s(literal -1/8 binary64)) (pow.f64 e #s(literal -3/4 binary64))) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -3/4 binary64)) (pow.f64 e #s(literal -1/4 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)) |
(-.f64 (/.f64 (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(-.f64 (cos.f64 v) (*.f64 (neg.f64 (pow.f64 e #s(literal -3/4 binary64))) (pow.f64 e #s(literal -1/4 binary64)))) |
(-.f64 (cos.f64 v) (*.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))) |
(-.f64 (cos.f64 v) (*.f64 (neg.f64 (pow.f64 e #s(literal -1/4 binary64))) (pow.f64 e #s(literal -3/4 binary64)))) |
(+.f64 (/.f64 (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) |
(+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/8 binary64))) (pow.f64 e #s(literal -1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/8 binary64))) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 e #s(literal -1/8 binary64)) (pow.f64 e #s(literal -1/4 binary64))) (*.f64 (pow.f64 e #s(literal -1/8 binary64)) (pow.f64 e #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 e #s(literal -3/8 binary64)) (pow.f64 e #s(literal -3/8 binary64))) |
(*.f64 (pow.f64 e #s(literal -1/8 binary64)) (*.f64 (pow.f64 e #s(literal -1/8 binary64)) (pow.f64 e #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 e #s(literal -1/4 binary64)) #s(literal 3 binary64)) |
(pow.f64 e #s(literal -3/4 binary64)) |
(exp.f64 (fma.f64 (log.f64 e) #s(literal -1/2 binary64) (*.f64 (log.f64 e) #s(literal -1/4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 e) #s(literal -1/4 binary64) (*.f64 (log.f64 e) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 e) #s(literal -3/4 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
(*.f64 #s(approx (/ e (- e -1)) e) v) |
(*.f64 v #s(approx (/ e (- e -1)) e)) |
#s(approx (/ e (- e -1)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e)) |
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)) |
(*.f64 (/.f64 (*.f64 v e) (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) |
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e) |
(*.f64 v (/.f64 e (-.f64 e #s(literal -1 binary64)))) |
(*.f64 e (/.f64 v (-.f64 e #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 v) e)) (neg.f64 (neg.f64 (-.f64 e #s(literal -1 binary64))))) |
(/.f64 (*.f64 (neg.f64 v) e) (neg.f64 (-.f64 e #s(literal -1 binary64)))) |
(/.f64 (*.f64 v e) (-.f64 e #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 v) e) (-.f64 e #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (*.f64 v e) (neg.f64 (-.f64 e #s(literal -1 binary64))))) |
(*.f64 v e) |
(*.f64 e v) |
(/.f64 (neg.f64 (fma.f64 e e #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) e))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))) |
(/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e)) |
(/.f64 (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e))) |
(-.f64 (/.f64 (pow.f64 e #s(literal 3 binary64)) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))) |
(-.f64 e #s(literal -1 binary64)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v))) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v))) e) |
(*.f64 e #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v)))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v))) |
(*.f64 (+.f64 (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) v) |
(/.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v)) #s(literal 3 binary64))) (fma.f64 v v (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v) #s(literal 2 binary64)) (*.f64 v (neg.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 v v) (pow.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v v))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v) (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v v) (*.f64 v v)))) |
(/.f64 (-.f64 (*.f64 v v) (pow.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v) #s(literal 2 binary64))) (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v v)) |
(/.f64 (-.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v) (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v v) (*.f64 v v))) |
(fma.f64 (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e)) v v) |
(fma.f64 v (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e)) v) |
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(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) v) v) e) |
(+.f64 e (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) v) v)) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e)) (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e))) (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e)) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 2 binary64))) (-.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e)) (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e)) (-.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e)) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 2 binary64)) (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (-.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v)) (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 2 binary64)) (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 3 binary64))) (fma.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (-.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v)) (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) (fabs.f64 v)) (fabs.f64 v) (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) (neg.f64 v)) (neg.f64 v) (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64))) |
(fma.f64 #s(literal -1/8 binary64) e (+.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v))) |
(fma.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) (*.f64 v v) (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64))) |
(fma.f64 v (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64))) |
(fma.f64 e #s(literal -2/15 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v))) |
(fma.f64 e #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)))) (/.f64 (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64))))) |
(-.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (neg.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v)) v)) |
(-.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (neg.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64))) (*.f64 v v))) |
(-.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (neg.f64 v) (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v))) |
(+.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e)) (*.f64 #s(literal -1/120 binary64) e)) #s(literal 1/120 binary64)) |
(+.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e)) #s(literal 1/120 binary64)) (*.f64 #s(literal -1/120 binary64) e)) |
(+.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 e #s(literal -2/15 binary64))) #s(literal 1/120 binary64)) |
(+.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) (*.f64 #s(literal -1/8 binary64) e)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 3 binary64)) (fma.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (-.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v)) (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (-.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v)) (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 2 binary64))))) |
(+.f64 (*.f64 e #s(literal -2/15 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e)) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 #s(literal -1/8 binary64) e) (+.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v))) |
(+.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v)) |
(+.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e))) |
Compiled 15 095 to 2 038 computations (86.5% saved)
32 alts after pruning (25 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 297 | 10 | 307 |
| Fresh | 2 | 15 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 302 | 32 | 334 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ✓ | 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) |
| 99.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/8 binary64)) (*.f64 (pow.f64 e #s(literal -1/8 binary64)) (pow.f64 e #s(literal -3/4 binary64))) (cos.f64 v)))) | |
| 98.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 (pow.f64 e #s(literal -1/4 binary64)) #s(literal 3 binary64)) (cos.f64 v)))) | |
| 99.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))) | |
| 99.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -3/8 binary64)) (pow.f64 e #s(literal -3/8 binary64))) (cos.f64 v)))) | |
| 98.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) #s(approx (cos v) #s(literal 1 binary64))))) | |
| ✓ | 98.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
| 48.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) | |
| 99.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v) (*.f64 #s(literal 1 binary64) (sin.f64 v))) e)) | |
| 99.0% | #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)))) | |
| 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v)) | |
| ✓ | 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
| 98.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) | |
| ✓ | 98.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| 48.8% | #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)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) | |
| ✓ | 48.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
| 47.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))) e)) | |
| 48.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e)) | |
| 48.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 48.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (neg.f64 e))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 48.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 48.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 27.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e))) e)) | |
| 2.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e)))) | |
| ✓ | 4.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
| 70.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) | |
| 48.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) | |
| 48.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) | |
| 47.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) | |
| 47.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
Compiled 2 637 to 1 021 computations (61.3% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (neg.f64 e))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.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) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.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 e (sin.f64 v)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) #s(approx (cos v) #s(literal 1 binary64))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v) (*.f64 #s(literal 1 binary64) (sin.f64 v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 (pow.f64 e #s(literal -1/4 binary64)) #s(literal 3 binary64)) (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -3/8 binary64)) (pow.f64 e #s(literal -3/8 binary64))) (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/8 binary64)) (*.f64 (pow.f64 e #s(literal -1/8 binary64)) (pow.f64 e #s(literal -3/4 binary64))) (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
3 calls:
| 17.0ms | e |
| 12.0ms | v |
| 11.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 99.8% | 1 | e |
| 99.8% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (neg.f64 e))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.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) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.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 e (sin.f64 v)))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
3 calls:
| 13.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 8.0ms | v |
| 8.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 99.0% | 1 | e |
| 99.0% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (neg.f64 e))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.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) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) |
3 calls:
| 8.0ms | v |
| 8.0ms | e |
| 8.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 98.5% | 1 | e |
| 98.5% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (neg.f64 e))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
3 calls:
| 7.0ms | e |
| 7.0ms | v |
| 7.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | v |
| 98.2% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 98.2% | 1 | e |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (neg.f64 e))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
3 calls:
| 12.0ms | e |
| 7.0ms | v |
| 7.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 49.5% | 1 | e |
| 49.5% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#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)))) (*.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 |
|---|---|---|
| 48.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 48.8% | 1 | e |
| 48.8% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
3 calls:
| 2.0ms | v |
| 2.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 2.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 48.8% | 1 | e |
| 48.8% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
3 calls:
| 6.0ms | v |
| 1.0ms | e |
| 1.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 48.4% | 1 | e |
| 48.4% | 1 | v |
Compiled 13 to 13 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
3 calls:
| 1.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 1.0ms | v |
| 1.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 4.5% | 1 | e |
| 4.5% | 1 | v |
Compiled 13 to 13 computations (0% saved)
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 193 |
| 1 | 79 | 191 |
| 2 | 119 | 191 |
| 3 | 236 | 191 |
| 4 | 769 | 191 |
| 5 | 3824 | 191 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.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 (*.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 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
#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)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.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 (*.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 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
#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)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
| 1× | fuel |
Compiled 193 to 52 computations (73.1% saved)
(negabs v)
Compiled 428 to 138 computations (67.8% saved)
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