
Time bar (total: 5.0s)
| 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)
| 1.7s | 8 256× | 0 | valid |
ival-mult: 440.0ms (40.1% of total)ival-sin: 252.0ms (23% of total)ival-cos: 241.0ms (22% of total)ival-div: 49.0ms (4.5% of total)ival-<=: 44.0ms (4% of total)ival-add: 42.0ms (3.8% of total)ival-and: 12.0ms (1.1% of total)exact: 11.0ms (1% of total)ival-assert: 4.0ms (0.4% of total)adjust: 2.0ms (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 |
| 61.0ms | 512× | 0 | valid |
Compiled 79 to 31 computations (60.8% saved)
ival-sin: 15.0ms (36.8% of total)ival-cos: 10.0ms (24.5% of total)ival-mult: 8.0ms (19.6% of total)ival-div: 5.0ms (12.3% of total)ival-add: 2.0ms (4.9% 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 | 29 | 70 |
| 1 | 82 | 68 |
| 2 | 170 | 66 |
| 3 | 338 | 66 |
| 4 | 685 | 66 |
| 5 | 1673 | 66 |
| 6 | 6957 | 66 |
| 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 |
|---|---|---|
| ▶ | 99.9% | (/.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 | 0.0859375 | (*.f64 e (sin.f64 v)) | |
| accuracy | 0.09765625 | (*.f64 e (cos.f64 v)) |
| 24.0ms | 256× | 0 | valid |
Compiled 34 to 11 computations (67.6% saved)
ival-sin: 6.0ms (36.3% of total)ival-cos: 4.0ms (24.2% of total)ival-mult: 3.0ms (18.1% of total)ival-div: 1.0ms (6% of total)ival-add: 1.0ms (6% 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 | |
|---|---|---|---|---|
| 34.0ms | v | @ | -inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 2.0ms | e | @ | 0 | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 2.0ms | 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)) |
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)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 80 | 8 | 88 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 81 | 8 | 89 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ▶ | 99.4% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
| ▶ | 99.8% | (*.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))) |
| ▶ | 99.8% | (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
| 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) | |
| ▶ | 54.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
| 99.3% | #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)) | |
| 98.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
Compiled 264 to 196 computations (25.8% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) e) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)) | |
| 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) #s(approx (* e (cos 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 | 32 | 197 |
| 0 | 51 | 196 |
| 1 | 88 | 196 |
| 2 | 175 | 196 |
| 3 | 528 | 196 |
| 4 | 2130 | 196 |
| 0 | 8949 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) |
(/.f64 e (-.f64 e #s(literal -1 binary64))) |
e |
(-.f64 e #s(literal -1 binary64)) |
#s(literal -1 binary64) |
v |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)) |
#s(literal 1 binary64) |
#s(approx (* e (cos v)) e) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(sin.f64 v) |
v |
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
e |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) |
(*.f64 (cos.f64 v) e) |
(cos.f64 v) |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
| 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 |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
(*.f64 (/.f64 e (-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64))) (sin.f64 v)) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)) |
(-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* e (cos v)) e) |
(*.f64 (sin.f64 v) (/.f64 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)) |
(sin.f64 v) |
v |
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
e |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (-.f64 #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 2 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
v |
e |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) |
(*.f64 (cos.f64 v) e) |
(cos.f64 v) |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) | |
| accuracy | 0.08203125 | (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) | |
| accuracy | 0.0859375 | (*.f64 (sin.f64 v) e) | |
| accuracy | 0.09765625 | (*.f64 (cos.f64 v) e) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.0078125 | (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.09375 | (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.015625 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) | |
| accuracy | 0.0859375 | (*.f64 e (sin.f64 v)) | |
| accuracy | 26.237855406330148 | #s(approx (* e (cos v)) e) | |
| accuracy | 0.0 | (-.f64 e #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 e (-.f64 e #s(literal -1 binary64))) | |
| accuracy | 0.01171875 | (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) | |
| accuracy | 29.202013786115504 | #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 | 0.0859375 | (*.f64 (sin.f64 v) e) |
| 78.0ms | 256× | 0 | valid |
Compiled 190 to 27 computations (85.8% saved)
ival-add: 18.0ms (34.8% of total)ival-mult: 10.0ms (19.3% of total)ival-div: 7.0ms (13.5% of total)ival-sin: 6.0ms (11.6% of total)ival-cos: 5.0ms (9.7% of total)ival-sub: 4.0ms (7.7% of total)ival-pow2: 2.0ms (3.9% 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)) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
(*.f64 e (sin.f64 v)) |
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(cos.f64 v) |
#s(approx (* e (cos v)) e) |
(*.f64 (cos.f64 v) e) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) |
| 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 (* e (sin v)) #s(hole binary64 (* e (sin v)))) |
#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 (* (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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 e)) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* -1 (* e (cos v))))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v))))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (* e (sin v)))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v))))))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))))))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* e (+ (sin v) (* (pow e 2) (* (pow (cos v) 2) (sin v))))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 4) (sin v))) (* -1 (* (pow (cos v) 2) (sin v))))))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 6) (sin v))) (* -1 (* (pow (cos v) 4) (sin v))))) (* -1 (* (pow (cos v) 2) (sin v))))))))) |
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v)))) |
#s(approx (* (cos v) e) #s(hole binary64 (* e (cos v)))) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (* (pow e 2) (pow (cos v) 2)))) |
#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)))) |
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#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* -1/5040 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2)))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))) |
#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 (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) e) #s(hole binary64 e)) |
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2)))))) |
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))) |
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (pow e 2))) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2)))) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2)))) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 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 (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 (* e (cos v)))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (pow (cos v) 2)))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2)))))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | v | @ | 0 | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (sin v) (/ e (+ (* (cos v) e) 1))) (/ e (+ (* (cos v) e) 1)) (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (cos v) (* e (cos v)) (* (cos v) e) (pow (* (cos v) e) 2)) |
| 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))) (* (sin v) (/ e (+ (* (cos v) e) 1))) (/ e (+ (* (cos v) e) 1)) (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (cos v) (* e (cos v)) (* (cos v) e) (pow (* (cos v) e) 2)) |
| 4.0ms | 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))) (* (sin v) (/ e (+ (* (cos v) e) 1))) (/ e (+ (* (cos v) e) 1)) (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (cos v) (* e (cos v)) (* (cos v) e) (pow (* (cos v) e) 2)) |
| 4.0ms | v | @ | inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (sin v) (/ e (+ (* (cos v) e) 1))) (/ e (+ (* (cos v) e) 1)) (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (cos v) (* e (cos v)) (* (cos v) e) (pow (* (cos v) e) 2)) |
| 4.0ms | e | @ | inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (sin v) (/ e (+ (* (cos v) e) 1))) (/ e (+ (* (cos v) e) 1)) (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (cos v) (* e (cos v)) (* (cos v) e) (pow (* (cos v) e) 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 700 | 5938 |
| 1 | 1869 | 5843 |
| 2 | 6050 | 5757 |
| 0 | 8243 | 5497 |
| 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 (* e (sin v)) #s(hole binary64 (* e (sin v)))) |
#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 (* (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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 e)) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* -1 (* e (cos v))))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v))))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (* e (sin v)))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v))))))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))))))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* e (+ (sin v) (* (pow e 2) (* (pow (cos v) 2) (sin v))))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 4) (sin v))) (* -1 (* (pow (cos v) 2) (sin v))))))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 6) (sin v))) (* -1 (* (pow (cos v) 4) (sin v))))) (* -1 (* (pow (cos v) 2) (sin v))))))))) |
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v)))) |
#s(approx (* (cos v) e) #s(hole binary64 (* e (cos v)))) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (* (pow e 2) (pow (cos v) 2)))) |
#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 (+ 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 (* (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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (cos v)))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4))))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v)))) (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* -1 (/ (sin v) (* e (pow (cos v) 2)))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (/ (- (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (* -1 (/ (sin v) (pow (cos v) 2)))) (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) e))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (/ (- (+ (* -1 (/ (sin v) (* (pow e 6) (pow (cos v) 8)))) (* -1 (/ (sin v) (pow (cos v) 2)))) (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (* (pow e 4) (pow (cos v) 6))))) 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 (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #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) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #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) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (pow (cos v) 2))) e)))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (+ (/ (sin v) (* (pow e 4) (pow (cos v) 6))) (/ (sin v) (pow (cos v) 2)))) e)))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (+ (/ (sin v) (* (pow e 4) (pow (cos v) 6))) (+ (/ (sin v) (* (pow e 6) (pow (cos v) 8))) (/ (sin v) (pow (cos v) 2))))) e)))) |
#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 (* 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 (+ 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 (* (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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 e)))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 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) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (/ (* e (* v (- 1 e))) (- 1 (pow e 2))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2))))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2))))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2))))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (/ (* e v) (- 1 (pow e 2))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* -1/5040 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2)))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))) |
#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 (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) e) #s(hole binary64 e)) |
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2)))))) |
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))) |
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (pow e 2))) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2)))) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2)))) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 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 (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 (* e (cos v)))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (pow (cos v) 2)))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2)))))) |
#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 (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e)) |
#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 (sin.f64 v) (fma.f64 (neg.f64 e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (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 (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (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 (* (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 (sin.f64 v) (fma.f64 (neg.f64 e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (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) e) v)) |
#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 (fma.f64 (neg.f64 v) 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)) |
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#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))))) |
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#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))) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (cos.f64 v)) (/.f64 (neg.f64 (sin.f64 v)) e)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (cos.f64 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))))) |
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#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (cos.f64 v)) (/.f64 (neg.f64 (sin.f64 v)) e)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
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#s(approx (* (sin v) e) #s(hole binary64 (* e v))) |
#s(approx (* (sin v) e) (*.f64 e v)) |
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2))))))) |
#s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) |
#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) (*.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 (* (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))))))))) |
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#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)))))) |
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#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) |
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#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 e))) |
#s(approx (+ (* (cos v) e) 1) (-.f64 e #s(literal -1 binary64))) |
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2))))))) |
#s(approx (+ (* (cos v) e) 1) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (-.f64 e #s(literal -1 binary64)))) |
#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) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64))) |
#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))))))))) |
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
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#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) e (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/5040 binary64) (*.f64 e #s(literal 1/80 binary64))) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (fma.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 e #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) e) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 1/120 binary64))) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e)) (-.f64 #s(literal 1 binary64) (*.f64 e e))) e (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 2 binary64))))) (*.f64 e e) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) e)) (pow.f64 e #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 e e) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 e e)) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e)) (-.f64 #s(literal 1 binary64) (*.f64 e e))) e (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 e e))))) (*.f64 v v) (-.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 1/120 binary64))) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e)) (-.f64 #s(literal 1 binary64) (*.f64 e e))) e (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 2 binary64))))) (*.f64 e e) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) e)) (pow.f64 e #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))))) (*.f64 v v) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e)) (-.f64 #s(literal 1 binary64) (*.f64 e e))) e (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 2 binary64)))))) (*.f64 v v))) v)) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (/ (* e v) (- 1 (pow e 2))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) v)) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) #s(literal -1/6 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) v))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) #s(literal 1/120 binary64)) (/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) #s(literal -1/6 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 2 binary64)))) (*.f64 e e) (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 e #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 v v) (-.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) #s(literal -1/6 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 2 binary64))))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) v))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* -1/5040 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2)))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) #s(literal -1/5040 binary64)) (fma.f64 (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 2 binary64))) #s(literal 2/45 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) #s(literal 1/120 binary64)) (/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) #s(literal -1/6 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 2 binary64)))) (*.f64 e e) (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 e #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 e e) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 e e)) (-.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) #s(literal -1/6 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 e e))))) (*.f64 v v) (-.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) #s(literal 1/120 binary64)) (/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) #s(literal -1/6 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 2 binary64)))) (*.f64 e e) (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 e #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))))) (*.f64 v v) (-.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) #s(literal -1/6 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 2 binary64))))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) v))) |
#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 (-.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) v) v) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) |
#s(approx (* e (cos v)) #s(hole binary64 e)) |
#s(approx (* (cos v) e) e) |
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2)))))) |
#s(approx (* (cos v) e) (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 (* (cos v) e) (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.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 (* (cos v) e) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)) |
#s(approx (* (cos v) e) #s(hole binary64 e)) |
#s(approx (* (cos v) e) e) |
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2)))))) |
#s(approx (* (cos v) e) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)) |
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))) |
#s(approx (* (cos v) e) (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)) |
#s(approx (* (cos v) e) #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) e) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (pow e 2))) |
#s(approx (pow (* (cos v) e) 2) (*.f64 e e)) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2)))) |
#s(approx (pow (* (cos v) e) 2) (*.f64 (+.f64 e (*.f64 e v)) (-.f64 e (*.f64 e v)))) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2)))) |
#s(approx (pow (* (cos v) e) 2) (fma.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 e e) (*.f64 (neg.f64 e) e)) (*.f64 v v) (*.f64 e e))) |
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2)))) |
#s(approx (pow (* (cos v) e) 2) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 (*.f64 (*.f64 v v) e) e) (*.f64 #s(literal 1/3 binary64) (*.f64 e e))) v) v (*.f64 (neg.f64 e) e)) (*.f64 v v) (*.f64 e e))) |
#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 (* (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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 (* e (cos v)))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) #s(hole binary64 (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (pow (cos v) 2)))))) |
#s(approx (* (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (- 1 (* (cos v) e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) #s(hole binary64 (/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2)))))) |
#s(approx (/ (* (sin v) e) (- 1 (pow (* (cos v) e) 2))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (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 | 32 | 148 |
| 0 | 51 | 137 |
| 1 | 179 | 137 |
| 0 | 1098 | 137 |
| 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)) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
(*.f64 e (sin.f64 v)) |
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(cos.f64 v) |
#s(approx (* e (cos v)) e) |
(*.f64 (cos.f64 v) e) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) |
| 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 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 e (sin.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) |
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(/.f64 (*.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #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)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 e (sin.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 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)))) |
(fma.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)))) |
(+.f64 (*.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #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 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) |
(*.f64 e (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 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 #s(approx (* e (cos v)) e) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (* e (cos v)) e))) |
(*.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)) |
#s(approx (* e (cos v)) e) |
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* e (cos v)) e)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 (cos.f64 v) e) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e) |
(*.f64 (*.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(*.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64))) |
(*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(*.f64 (cos.f64 v) (*.f64 e #s(literal 1 binary64))) |
(*.f64 (cos.f64 v) e) |
(*.f64 e (*.f64 (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 e (cos.f64 v)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 v) e)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (*.f64 e e)) |
(*.f64 (*.f64 (*.f64 (cos.f64 v) e) (cos.f64 v)) e) |
(*.f64 (*.f64 (*.f64 (cos.f64 v) e) e) (cos.f64 v)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) |
(*.f64 (fabs.f64 (*.f64 (cos.f64 v) e)) (fabs.f64 (*.f64 (cos.f64 v) e))) |
(*.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 v) e))) (exp.f64 (log.f64 (*.f64 (cos.f64 v) e)))) |
(*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (neg.f64 e) (cos.f64 v))) |
(*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 e e)) |
(*.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (cos.f64 v) e) (*.f64 (cos.f64 v) e)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) |
(*.f64 (cos.f64 v) (*.f64 e (*.f64 (cos.f64 v) e))) |
(*.f64 e (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) e))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 v) e))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 2 binary64)))) |
Compiled 11 242 to 1 486 computations (86.8% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 416 | 9 | 425 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 421 | 12 | 433 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 54.4% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) | |
| 99.3% | (*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))) | |
| 98.4% | (*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) | |
| ▶ | 99.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) |
| ▶ | 54.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))) |
| ✓ | 54.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
| ▶ | 2.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
| ▶ | 54.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
| 53.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) | |
| 2.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) | |
| ▶ | 4.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
Compiled 449 to 324 computations (27.8% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 e v) | |
| cost-diff | 0 | (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))) | |
| cost-diff | 5 | (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)) | |
| 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 | (*.f64 (-.f64 #s(literal 1 binary64) e) e) | |
| cost-diff | 0 | #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) 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 | (+.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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 254 |
| 0 | 52 | 254 |
| 1 | 95 | 254 |
| 2 | 200 | 254 |
| 3 | 723 | 244 |
| 4 | 3177 | 244 |
| 0 | 8323 | 239 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
#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 (-.f64 #s(literal 1 binary64) e) e)) v)) |
(*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
#s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) e) |
(-.f64 #s(literal 1 binary64) e) |
#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)) |
(*.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 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))) |
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)) |
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) |
(*.f64 e v) |
e |
v |
(fma.f64 e e #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(+.f64 #s(literal -1 binary64) e) |
| Outputs |
|---|
#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) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) |
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) |
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) |
(sin.f64 v) |
v |
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
(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 (-.f64 #s(literal 1 binary64) e) e)) v)) |
(*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
#s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) e) |
(-.f64 #s(literal 1 binary64) e) |
#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)) |
(*.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 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e)) |
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)) |
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e) |
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) |
(*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) v) |
(*.f64 e v) |
(*.f64 v e) |
e |
v |
(fma.f64 e e #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(+.f64 #s(literal -1 binary64) e) |
(-.f64 e #s(literal 1 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 e v) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) | |
| accuracy | 29.202013786115504 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) | |
| accuracy | 29.202013786115504 | #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 | 62.9985110923071 | #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) e) e) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) | |
| accuracy | 0.39236572190748137 | #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) | |
| accuracy | 29.202013786115504 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| accuracy | 29.202013786115504 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) | |
| accuracy | 60.181746123539526 | #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) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) | |
| accuracy | 0.2421875 | (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) |
| 61.0ms | 256× | 0 | valid |
Compiled 172 to 27 computations (84.3% saved)
ival-div: 16.0ms (35% of total)ival-mult: 10.0ms (21.9% of total)ival-sin: 6.0ms (13.1% of total)ival-cos: 5.0ms (11% of total)ival-add: 4.0ms (8.8% of total)ival-sub: 3.0ms (6.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(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) |
(+.f64 (/.f64 #s(literal 1 binary64) e) (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) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
(*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
#s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.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)) |
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) |
(*.f64 e v) |
(cos.f64 v) |
| Outputs |
|---|
#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) (+ (/ 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 (* (/ 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 e) e) #s(hole binary64 e)) |
#s(approx (* (- 1 e) e) #s(hole binary64 (* e (+ 1 (* -1 e))))) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (/ -1 e))) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (/ (- e 1) e))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e v))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e v))))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v))))))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (* e v)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* -1 (* (pow e 2) v)))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v)))))) |
#s(approx (* e v) #s(hole binary64 (* e v))) |
#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) (+ (/ 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 (* (/ 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 e) e) #s(hole binary64 (* -1 (pow e 2)))) |
#s(approx (* (- 1 e) e) #s(hole binary64 (* (pow e 2) (- (/ 1 e) 1)))) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 1)) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (- 1 (/ 1 e)))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 v)) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (+ (* -1 (/ v e)) (/ v (pow e 2)))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2)))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ v e))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (+ v (/ v (pow e 2))) e))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2)))) e))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) 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) (+ (/ 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 (* (/ 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 (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ v (pow e 2)))) e)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (* -1 (/ v (pow e 4))) (* -1 (/ v (pow e 6)))))) 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) (+ (/ 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 (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 (+ (/ 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 (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (/ (* e (* v (- e 1))) (- (pow e 2) 1)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (* e v) (- (pow e 2) 1)))) |
#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) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (sin v) #s(hole binary64 (sin v))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | e | @ | -inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (sin v) (+ (/ 1 e) (cos 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 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ (* e e) -1)) (* e v) (cos v)) |
| 4.0ms | v | @ | 0 | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (sin v) (+ (/ 1 e) (cos 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 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ (* e e) -1)) (* e v) (cos v)) |
| 4.0ms | v | @ | -inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (sin v) (+ (/ 1 e) (cos 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 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ (* e e) -1)) (* e v) (cos v)) |
| 3.0ms | v | @ | inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (sin v) (+ (/ 1 e) (cos 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 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ (* e e) -1)) (* e v) (cos v)) |
| 2.0ms | e | @ | inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (sin v) (+ (/ 1 e) (cos 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 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ (* e e) -1)) (* e v) (cos v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 455 | 2668 |
| 1 | 1247 | 2587 |
| 2 | 4033 | 2507 |
| 0 | 8276 | 2403 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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) (+ (/ 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 (* (/ 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 e) e) #s(hole binary64 e)) |
#s(approx (* (- 1 e) e) #s(hole binary64 (* e (+ 1 (* -1 e))))) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (/ -1 e))) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (/ (- e 1) e))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e v))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e v))))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v))))))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (* e v)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* -1 (* (pow e 2) v)))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v)))))) |
#s(approx (* e v) #s(hole binary64 (* e v))) |
#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) (+ (/ 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 (* (/ 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 e) e) #s(hole binary64 (* -1 (pow e 2)))) |
#s(approx (* (- 1 e) e) #s(hole binary64 (* (pow e 2) (- (/ 1 e) 1)))) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 1)) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (- 1 (/ 1 e)))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 v)) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (+ (* -1 (/ v e)) (/ v (pow e 2)))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2)))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ v e))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (+ v (/ v (pow e 2))) e))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2)))) e))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) 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) (+ (/ 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 (* (/ 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 (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ v (pow e 2)))) e)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (* -1 (/ v (pow e 4))) (* -1 (/ v (pow e 6)))))) 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) (+ (/ 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 (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 (+ (/ 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 (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (/ (* e (* v (- e 1))) (- (pow e 2) 1)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (* e v) (- (pow e 2) 1)))) |
#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) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (sin v) #s(hole binary64 (sin v))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
| Outputs |
|---|
#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 (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (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 (*.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 (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) e)) e (sin.f64 v)) e)) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (*.f64 (sin.f64 v) e)) |
#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))) (*.f64 (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e)) |
#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))) (*.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) (+ (/ 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) (+ (/ 1 e) (cos v))) (*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) e)) e (sin.f64 v)) e)) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ 1 e))) |
#s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)) |
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e))) |
#s(approx (+ (/ 1 e) (cos v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e v))) |
#s(approx (* (/ e (- e -1)) v) (*.f64 v e)) |
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* (/ e (- e -1)) v) (*.f64 (fma.f64 (neg.f64 v) 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 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 (- e -1)) v) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 v) 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 (* (- 1 e) e) #s(hole binary64 e)) |
#s(approx (* (- 1 e) e) e) |
#s(approx (* (- 1 e) e) #s(hole binary64 (* e (+ 1 (* -1 e))))) |
#s(approx (* (- 1 e) e) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (/ -1 e))) |
#s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) |
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#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.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))) (* 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)) (/.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)))) (+ (* -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 (/.f64 #s(literal 1/120 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e)) (/.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 -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (*.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 (/.f64 #s(literal 1/120 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e)) (/.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 -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) #s(literal -1/2 binary64) #s(literal 1/5040 binary64))) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1/120 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e)) (/.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 -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (/.f64 (-.f64 e #s(literal -1 binary64)) e)))) (*.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) #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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) v)) |
#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 (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (* (/ e (- e -1)) v) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (/ (* e (* v (- e 1))) (- (pow e 2) 1)))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (*.f64 (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) (-.f64 e #s(literal 1 binary64)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (* e v) (- (pow e 2) 1)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (/.f64 v (fma.f64 e 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 (/ (* 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) (+ (/ 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 (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 | 36 | 225 |
| 0 | 52 | 225 |
| 1 | 180 | 215 |
| 0 | 1323 | 210 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
(+.f64 (/.f64 #s(literal 1 binary64) e) (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) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
(*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
#s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.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)) |
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) |
(*.f64 e v) |
(cos.f64 v) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) |
(*.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 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) |
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))) |
(sin.f64 v) |
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (-.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 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (-.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) (*.f64 #s(literal -1 binary64) (pow.f64 e #s(literal -1 binary64))) (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) (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 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) |
(+.f64 (pow.f64 e #s(literal -1 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) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
(*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
(*.f64 v #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))) |
#s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) e) |
(*.f64 e (-.f64 #s(literal 1 binary64) e)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) e) (-.f64 e #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) e) (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 e #s(literal -1 binary64))) |
(/.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64)))) (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) |
#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 (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 (/.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 (*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 v e)) (-.f64 (pow.f64 e #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 e e) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 v e)) (+.f64 (pow.f64 e #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e e)) (pow.f64 e #s(literal 4 binary64)))) |
(*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) |
(*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e)) |
(*.f64 (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) (-.f64 e #s(literal 1 binary64))) |
(*.f64 (*.f64 v e) (/.f64 (-.f64 e #s(literal 1 binary64)) (fma.f64 e e #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) (/.f64 (-.f64 e #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))) |
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) |
(*.f64 v (/.f64 e (-.f64 e #s(literal -1 binary64)))) |
(*.f64 e (/.f64 v (-.f64 e #s(literal -1 binary64)))) |
(*.f64 e (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (-.f64 e #s(literal 1 binary64)))) |
(/.f64 (/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 v e)) (-.f64 e #s(literal -1 binary64))) (-.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e)) (-.f64 #s(literal -1 binary64) e)) |
(/.f64 (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e)) (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 e) v) (-.f64 e #s(literal 1 binary64))) (neg.f64 (fma.f64 e e #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 (neg.f64 e) v)) (neg.f64 (fma.f64 e e #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal -1 binary64) e)) |
(/.f64 (*.f64 (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))) (*.f64 (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))))) (-.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))) (*.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 v e))) (neg.f64 (fma.f64 e e #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (neg.f64 e) v)) (*.f64 (-.f64 #s(literal -1 binary64) e) (neg.f64 (fma.f64 e e #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 v e)) (*.f64 (-.f64 #s(literal -1 binary64) e) (fma.f64 e e #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 e) v)) (*.f64 (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 e e #s(literal -1 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 v e)) (*.f64 (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 e e #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 e) v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (neg.f64 (fma.f64 e e #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) e))) |
(/.f64 (*.f64 (*.f64 (neg.f64 e) v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 e e #s(literal -1 binary64))) (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (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))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 v e)) (fma.f64 e e #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 e) v) (neg.f64 (-.f64 e #s(literal -1 binary64)))) |
(/.f64 (*.f64 v e) (-.f64 e #s(literal -1 binary64))) |
(fma.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))) |
(fma.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) #s(literal -1 binary64) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) e (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))) |
(fma.f64 e (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))) |
(fma.f64 e (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))) |
(-.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (neg.f64 e) (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e))) |
(-.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) e)) |
(+.f64 (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))) |
(+.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e 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 (*.f64 v e) (-.f64 (pow.f64 e #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 e e) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 v e) (+.f64 (pow.f64 e #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e e)) (pow.f64 e #s(literal 4 binary64)))) |
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) (/.f64 e (-.f64 e #s(literal 1 binary64)))) |
(*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) |
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) (/.f64 v (-.f64 e #s(literal 1 binary64)))) |
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) |
(*.f64 e (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) v)) (neg.f64 (neg.f64 (fma.f64 e e #s(literal -1 binary64))))) |
(/.f64 (*.f64 (neg.f64 e) v) (neg.f64 (fma.f64 e e #s(literal -1 binary64)))) |
(/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) (-.f64 e #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 e) v) (fma.f64 e e #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (*.f64 v e) (neg.f64 (fma.f64 e e #s(literal -1 binary64))))) |
(*.f64 v e) |
(*.f64 e v) |
(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 6 629 to 853 computations (87.1% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 195 | 8 | 203 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 200 | 15 | 215 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 54.4% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) | |
| 99.3% | (*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))) | |
| ▶ | 98.4% | (*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) |
| ▶ | 99.3% | #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)))) | |
| 63.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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)))) | |
| ✓ | 54.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
| ▶ | 54.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
| ✓ | 54.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
| 53.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v)) | |
| 29.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v)) | |
| ▶ | 53.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
| ▶ | 54.2% | #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)))) |
| ✓ | 4.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
Compiled 631 to 437 computations (30.7% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ e (+ (* (cos v) e) 1)) e) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) | |
| cost-diff | 0 | (/.f64 (-.f64 e #s(literal -1 binary64)) e) | |
| cost-diff | 0 | (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)) | |
| cost-diff | 0 | #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 0 | (*.f64 (neg.f64 e) v) | |
| cost-diff | 0 | #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) | |
| cost-diff | 0 | #s(approx (* (- 1 e) e) e) | |
| cost-diff | 0 | #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) 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 | 284 |
| 0 | 64 | 275 |
| 1 | 117 | 275 |
| 2 | 227 | 275 |
| 3 | 510 | 275 |
| 4 | 1807 | 269 |
| 0 | 8263 | 263 |
| 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)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
(*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v) |
#s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) |
#s(approx (* (- 1 e) e) e) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
(*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e)) |
#s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) |
(*.f64 (neg.f64 e) v) |
(neg.f64 e) |
e |
v |
(+.f64 #s(literal -1 binary64) e) |
#s(literal -1 binary64) |
#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 (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))) |
(/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)) |
v |
(/.f64 (-.f64 e #s(literal -1 binary64)) e) |
(-.f64 e #s(literal -1 binary64)) |
e |
#s(literal -1 binary64) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) |
(sin.f64 v) |
v |
#s(approx (/ e (+ (* (cos v) e) 1)) e) |
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)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
(*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v) |
#s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) |
#s(approx (* (- 1 e) e) e) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (-.f64 e #s(literal 1 binary64)) #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)))) |
(*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e)) |
(*.f64 (-.f64 e #s(literal 1 binary64)) #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) |
#s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) |
(*.f64 (neg.f64 e) v) |
(neg.f64 e) |
e |
v |
(+.f64 #s(literal -1 binary64) e) |
(-.f64 e #s(literal 1 binary64)) |
#s(literal -1 binary64) |
#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 (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))) |
(/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)) |
v |
(/.f64 (-.f64 e #s(literal -1 binary64)) e) |
(-.f64 e #s(literal -1 binary64)) |
e |
#s(literal -1 binary64) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) |
(*.f64 #s(approx (/ e (+ (* (cos v) e) 1)) e) (sin.f64 v)) |
(sin.f64 v) |
v |
#s(approx (/ e (+ (* (cos v) e) 1)) e) |
e |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.09375 | (*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) | |
| accuracy | 0.9495413823827722 | #s(approx (/ e (+ (* (cos v) e) 1)) e) | |
| accuracy | 0.0 | #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)))) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 e #s(literal -1 binary64)) e) | |
| accuracy | 0.22265625 | (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)) | |
| accuracy | 29.202013786115504 | #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))) | |
| accuracy | 0.0 | (neg.f64 e) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e)) | |
| accuracy | 0.3933755116803943 | #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) | |
| accuracy | 29.202013786115504 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v) | |
| accuracy | 0.39236572190748137 | #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) | |
| accuracy | 0.9570749342613681 | #s(approx (* (- 1 e) e) e) | |
| accuracy | 29.202013786115504 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) 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 | 0.2421875 | (/.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 | 0.4655075195368841 | (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) |
| 117.0ms | 256× | 0 | valid |
Compiled 182 to 39 computations (78.6% saved)
ival-div: 26.0ms (26.8% of total)ival-mult: 26.0ms (26.8% of total)ival-add: 25.0ms (25.7% of total)ival-sin: 6.0ms (6.2% of total)ival-cos: 5.0ms (5.1% of total)ival-pow: 5.0ms (5.1% of total)ival-sub: 2.0ms (2.1% of total)ival-neg: 1.0ms (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 |
|---|
(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)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
(*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v) |
#s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) |
#s(approx (* (- 1 e) e) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
(*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e)) |
#s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) |
(*.f64 (neg.f64 e) v) |
#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 (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))) |
(/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)) |
(/.f64 (-.f64 e #s(literal -1 binary64)) e) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) |
#s(approx (/ e (+ (* (cos v) e) 1)) e) |
(cos.f64 v) |
(neg.f64 e) |
| 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 e) e) #s(hole binary64 e)) |
#s(approx (* (- 1 e) e) #s(hole binary64 (* e (+ 1 (* -1 e))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e v))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e v))))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v))))))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (* e v)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* -1 (* (pow e 2) v)))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v)))))) |
#s(approx (* (neg e) v) #s(hole binary64 (* -1 (* e 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 (/ v (/ (- e -1) e)) #s(hole binary64 (* e v))) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ (- e -1) e) #s(hole binary64 (/ 1 e))) |
#s(approx (/ (- e -1) e) #s(hole binary64 (/ (+ 1 e) e))) |
#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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 e)) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* -1 (* e (cos v))))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v))))))) |
#s(approx (neg e) #s(hole binary64 (* -1 e))) |
#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 e) e) #s(hole binary64 (* -1 (pow e 2)))) |
#s(approx (* (- 1 e) e) #s(hole binary64 (* (pow e 2) (- (/ 1 e) 1)))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 v)) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (+ (* -1 (/ v e)) (/ v (pow e 2)))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2)))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ v e))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (+ v (/ v (pow e 2))) e))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2)))) e))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) 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 (/ v (/ (- e -1) e)) #s(hole binary64 v)) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ (- e -1) e) #s(hole binary64 1)) |
#s(approx (/ (- e -1) e) #s(hole binary64 (+ 1 (/ 1 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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (cos v)))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4))))))) |
#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 (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ v (pow e 2)))) e)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (* -1 (/ v (pow e 4))) (* -1 (/ v (pow e 6)))))) 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 (/ v (/ (- e -1) e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) 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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))))) |
#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 (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (/ (* e (* v (- e 1))) (- (pow e 2) 1)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (* e v) (- (pow e 2) 1)))) |
#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 (/ v (/ (- e -1) e)) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 e)))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 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 (/ (* 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 (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 (* e (cos v)))))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | 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 (- e -1)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e v) (+ (* e e) -1)) (* (neg e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (/ v (/ (- e -1) e)) (/ (- e -1) e) (* (sin v) (/ e (+ (* (cos v) e) 1))) (/ e (+ (* (cos v) e) 1)) (cos v) (neg e)) |
| 8.0ms | 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 (- e -1)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e v) (+ (* e e) -1)) (* (neg e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (/ v (/ (- e -1) e)) (/ (- e -1) e) (* (sin v) (/ e (+ (* (cos v) e) 1))) (/ e (+ (* (cos v) e) 1)) (cos v) (neg e)) |
| 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 (- e -1)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e v) (+ (* e e) -1)) (* (neg e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (/ v (/ (- e -1) e)) (/ (- e -1) e) (* (sin v) (/ e (+ (* (cos v) e) 1))) (/ e (+ (* (cos v) e) 1)) (cos v) (neg e)) |
| 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 (- e -1)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e v) (+ (* e e) -1)) (* (neg e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (/ v (/ (- e -1) e)) (/ (- e -1) e) (* (sin v) (/ e (+ (* (cos v) e) 1))) (/ e (+ (* (cos v) e) 1)) (cos v) (neg e)) |
| 2.0ms | 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 (- e -1)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e v) (+ (* e e) -1)) (* (neg e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (/ v (/ (- e -1) e)) (/ (- e -1) e) (* (sin v) (/ e (+ (* (cos v) e) 1))) (/ e (+ (* (cos v) e) 1)) (cos v) (neg e)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 622 | 4869 |
| 1 | 1633 | 4732 |
| 2 | 5651 | 4576 |
| 0 | 8155 | 4390 |
| 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 e) e) #s(hole binary64 e)) |
#s(approx (* (- 1 e) e) #s(hole binary64 (* e (+ 1 (* -1 e))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e v))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e v))))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v))))))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (* e v)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* -1 (* (pow e 2) v)))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v)))))) |
#s(approx (* (neg e) v) #s(hole binary64 (* -1 (* e 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 (/ v (/ (- e -1) e)) #s(hole binary64 (* e v))) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ (- e -1) e) #s(hole binary64 (/ 1 e))) |
#s(approx (/ (- e -1) e) #s(hole binary64 (/ (+ 1 e) e))) |
#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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 e)) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* -1 (* e (cos v))))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v))))))) |
#s(approx (neg e) #s(hole binary64 (* -1 e))) |
#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 e) e) #s(hole binary64 (* -1 (pow e 2)))) |
#s(approx (* (- 1 e) e) #s(hole binary64 (* (pow e 2) (- (/ 1 e) 1)))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 v)) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (+ (* -1 (/ v e)) (/ v (pow e 2)))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2)))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ v e))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (+ v (/ v (pow e 2))) e))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2)))) e))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) 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 (/ v (/ (- e -1) e)) #s(hole binary64 v)) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ (- e -1) e) #s(hole binary64 1)) |
#s(approx (/ (- e -1) e) #s(hole binary64 (+ 1 (/ 1 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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (cos v)))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4))))))) |
#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 (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e))))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ v (pow e 2)))) e)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (* -1 (/ v (pow e 4))) (* -1 (/ v (pow e 6)))))) 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 (/ v (/ (- e -1) e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (/ v (/ (- e -1) e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) 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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))))) |
#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 (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (/ (* e (* v (- e 1))) (- (pow e 2) 1)))) |
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (* e v) (- (pow e 2) 1)))) |
#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 (/ v (/ (- e -1) e)) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 e)))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 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 (/ (* 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 (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e))))) |
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 (* e (cos v)))))) |
#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 (* (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 (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (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 (* (sin v) (/ e (+ (* (cos v) e) 1))) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e (neg.f64 (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 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))) e (sin.f64 v)) e)) |
#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))) (*.f64 (sin.f64 v) e)) |
#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))) (*.f64 (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e)) |
#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)))))))) |
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#s(approx (sin v) #s(hole binary64 v)) |
#s(approx (sin v) v) |
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#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 e)))) |
#s(approx (/ e (+ (* (cos v) e) 1)) (/.f64 e (-.f64 e #s(literal -1 binary64)))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 e e) v) v) #s(literal 1/2 binary64)) (-.f64 e #s(literal -1 binary64))) e) (-.f64 e #s(literal -1 binary64)))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) (fma.f64 (fma.f64 (*.f64 (neg.f64 v) v) (fma.f64 (pow.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (-.f64 e #s(literal -1 binary64))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (neg.f64 v) v) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 (pow.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 e e)) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))))) (fma.f64 (pow.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (-.f64 e #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 (/ (* 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 (/ (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 (/ (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 (* (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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 (* e (cos v)))))) |
#s(approx (/ e (+ (* (cos v) e) 1)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
#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 | 260 |
| 0 | 64 | 251 |
| 1 | 226 | 251 |
| 0 | 1516 | 242 |
| 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)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
(*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v) |
#s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) |
#s(approx (* (- 1 e) e) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
(*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e)) |
#s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) |
(*.f64 (neg.f64 e) v) |
#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 (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))) |
(/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)) |
(/.f64 (-.f64 e #s(literal -1 binary64)) e) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) |
#s(approx (/ e (+ (* (cos v) e) 1)) e) |
(cos.f64 v) |
(neg.f64 e) |
| 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 (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 (fabs.f64 e) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 e) #s(literal -1/2 binary64)) (cos.f64 v)) |
(fma.f64 (pow.f64 (neg.f64 e) #s(literal -1/2 binary64)) (pow.f64 (neg.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 #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)) |
(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)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
(*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v) |
(*.f64 v #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e))) |
#s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) |
#s(approx (* (- 1 e) e) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (-.f64 e #s(literal 1 binary64)) #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)))) |
(*.f64 (-.f64 e #s(literal 1 binary64)) #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) |
(*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (-.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (-.f64 #s(literal -1 binary64) e)) |
(/.f64 (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64)) #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal -1 binary64) e)) |
(/.f64 (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)))) (*.f64 (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e))) (-.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e) #s(literal 3 binary64))) (fma.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (-.f64 (*.f64 (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e)) (*.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e))))) |
(fma.f64 (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e)) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e)) |
(fma.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) #s(literal -1 binary64) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e)) |
(fma.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)))) |
(fma.f64 #s(literal -1 binary64) #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e)) |
(fma.f64 e #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)))) |
(-.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (*.f64 (neg.f64 e) #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)))) |
(-.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (*.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) e)) |
(+.f64 (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e) (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)))) |
(+.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e)) |
#s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) |
(*.f64 (neg.f64 v) e) |
(*.f64 (neg.f64 e) v) |
(*.f64 v (neg.f64 e)) |
(*.f64 e (neg.f64 v)) |
(neg.f64 (*.f64 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 (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))) |
(*.f64 (/.f64 v (neg.f64 (-.f64 e #s(literal -1 binary64)))) (neg.f64 e)) |
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e) |
(*.f64 e (/.f64 v (-.f64 e #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 v)) (/.f64 (-.f64 e #s(literal -1 binary64)) e)) |
(/.f64 (neg.f64 v) (/.f64 (-.f64 e #s(literal -1 binary64)) (neg.f64 e))) |
(/.f64 (*.f64 v e) (-.f64 e #s(literal -1 binary64))) |
(/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)) |
(neg.f64 (/.f64 (neg.f64 v) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) |
(neg.f64 (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) (neg.f64 e)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 e #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 e #s(literal -1 binary64)))) (neg.f64 (neg.f64 e))) |
(/.f64 (fma.f64 e e e) (*.f64 e e)) |
(/.f64 (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) e)) |
(/.f64 (neg.f64 (-.f64 e #s(literal -1 binary64))) (neg.f64 e)) |
(/.f64 (-.f64 e #s(literal -1 binary64)) e) |
(/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 (-.f64 e #s(literal 1 binary64)) e)) |
(neg.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) (neg.f64 e))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) |
(*.f64 #s(approx (/ e (+ (* (cos v) e) 1)) e) (sin.f64 v)) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) |
#s(approx (/ e (+ (* (cos v) e) 1)) 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))))) |
(*.f64 (*.f64 e #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) e)) |
(*.f64 #s(literal -1 binary64) e) |
(*.f64 e #s(literal -1 binary64)) |
(neg.f64 e) |
(fma.f64 #s(literal -1/2 binary64) e (*.f64 #s(literal -1/2 binary64) e)) |
(fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal -1/2 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) e) (*.f64 #s(literal -1/2 binary64) e)) |
(+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 e #s(literal -1/2 binary64))) |
Compiled 7 680 to 956 computations (87.6% saved)
17 alts after pruning (9 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 213 | 4 | 217 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 215 | 17 | 232 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 54.4% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) | |
| 99.3% | (*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e))) | |
| ✓ | 98.4% | (*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) |
| 12.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)))) (*.f64 (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e))) (-.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e)))) | |
| 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)))) | |
| 63.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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)))) | |
| ✓ | 54.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
| ✓ | 54.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
| ✓ | 54.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
| 53.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v)) | |
| 29.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v)) | |
| ✓ | 53.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
| ✓ | 54.2% | #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)))) |
| ✓ | 4.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v)) |
Compiled 1 239 to 447 computations (63.9% 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 (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) 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)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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 (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)))) (*.f64 (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e))) (-.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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)) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e))) |
(*.f64 (sin.f64 v) (/.f64 e (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))) |
(/.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 (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 (/.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))) |
#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 (/.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)))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
3 calls:
| 11.0ms | e |
| 8.0ms | v |
| 7.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 99.9% | 1 | e |
| 99.9% | 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 (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) 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)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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 (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)))) (*.f64 (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e))) (-.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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)) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
3 calls:
| 8.0ms | v |
| 6.0ms | e |
| 6.0ms | (/.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 (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) 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)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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 (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)))) (*.f64 (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e))) (-.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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)) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
3 calls:
| 7.0ms | v |
| 6.0ms | e |
| 6.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 99.4% | 1 | e |
| 99.4% | 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 (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) 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)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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 (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)))) (*.f64 (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e))) (-.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) #s(approx (/ e (+ (* (cos v) e) 1)) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
3 calls:
| 47.0ms | e |
| 5.0ms | v |
| 4.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 98.4% | 1 | e |
| 98.4% | 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 (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) 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)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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 (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)))) (*.f64 (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e))) (-.f64 (neg.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) e)))) |
| Outputs |
|---|
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
3 calls:
| 7.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 4.0ms | v |
| 4.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 54.4% | 1 | e |
| 54.4% | 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 (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) 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)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
3 calls:
| 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 |
|---|---|---|
| 54.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 54.4% | 1 | v |
| 54.4% | 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 (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) 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)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) e))) |
3 calls:
| 3.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 3.0ms | v |
| 3.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 54.1% | 1 | v |
| 54.1% | 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 (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) 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)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
3 calls:
| 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 |
|---|---|---|
| 54.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 54.1% | 1 | v |
| 54.1% | 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 (/ e (- e -1)) #s(approx (* (- 1 e) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v)) |
3 calls:
| 2.0ms | e |
| 2.0ms | v |
| 2.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.3% | 1 | v |
| 53.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 53.3% | 1 | e |
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 | e |
| 1.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 1.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.7% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 4.7% | 1 | v |
| 4.7% | 1 | e |
Compiled 13 to 13 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 180 |
| 1 | 88 | 180 |
| 2 | 160 | 180 |
| 3 | 337 | 180 |
| 4 | 990 | 180 |
| 5 | 4987 | 180 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (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 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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 v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) 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)))) (*.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))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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 v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v)) (+.f64 #s(literal -1 binary64) 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)))) (*.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 180 to 54 computations (70% saved)
(negabs v)
Compiled 402 to 142 computations (64.7% saved)
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