
Time bar (total: 3.0s)
| 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)
| 881.0ms | 8 256× | 0 | valid |
ival-sin: 242.0ms (37.7% of total)ival-cos: 224.0ms (34.9% of total)ival-mult!: 116.0ms (18.1% of total)ival-div!: 37.0ms (5.8% of total)ival-add!: 21.0ms (3.3% of total)adjust: 2.0ms (0.3% 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 | 510× | 0 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 79 to 31 computations (60.8% saved)
ival-sin: 15.0ms (40% of total)ival-cos: 10.0ms (26.7% of total)ival-mult!: 5.0ms (13.3% of total)ival-div!: 5.0ms (13.3% of total)ival-add!: 1.0ms (2.7% of total)adjust: 0.0ms (0% of total)Useful iterations: 2 (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 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(negabs v)
Compiled 22 to 18 computations (18.2% saved)
| 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 |
|---|
#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 #s(hole binary64 e)) |
#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 (cos v)) #s(hole binary64 (* e (cos 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 (+ 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 (+ (* -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 (- (* -1 (cos v)) (/ 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 (* 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 v #s(hole binary64 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 (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 | |
|---|---|---|---|---|
| 3.0ms | e | @ | -inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (cos v)) |
| 3.0ms | e | @ | 0 | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (cos v)) |
| 2.0ms | v | @ | -inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (cos v)) |
| 2.0ms | v | @ | 0 | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (cos v)) |
| 2.0ms | e | @ | inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (cos v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 247 | 1223 |
| 0 | 257 | 1190 |
| 1 | 1470 | 1156 |
| 0 | 8658 | 1086 |
| 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) |
#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 #s(hole binary64 e)) |
#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 (cos v)) #s(hole binary64 (* e (cos 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 (+ 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 (+ (* -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 (- (* -1 (cos v)) (/ 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 (* 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 v #s(hole binary64 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 (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 |
|---|
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 v) e))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (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))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(*.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) e) |
(*.f64 e (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(/.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 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (*.f64 e (pow.f64 e #s(literal -1 binary64))) (*.f64 e (pow.f64 e #s(literal -1 binary64))))) (-.f64 (*.f64 (cos.f64 v) e) (*.f64 e (pow.f64 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) (fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 e (pow.f64 e #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 e (pow.f64 e #s(literal -1 binary64))) (*.f64 e (pow.f64 e #s(literal -1 binary64)))) (*.f64 (*.f64 (cos.f64 v) e) (*.f64 e (pow.f64 e #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (neg.f64 (+.f64 #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 #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 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))) |
(fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 e #s(literal -1 binary64)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 e (cos.f64 v) (*.f64 e (pow.f64 e #s(literal -1 binary64)))) |
(fma.f64 e (cos.f64 v) #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 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #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 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))) |
(+.f64 (*.f64 (cos.f64 v) e) (*.f64 e (pow.f64 e #s(literal -1 binary64)))) |
(+.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
#s(literal 1 binary64) |
(*.f64 (cos.f64 v) e) |
(*.f64 e (cos.f64 v)) |
(pow.f64 (cos.f64 v) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal -1 binary64))) |
(fma.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 v (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 v))) |
(cos.f64 (neg.f64 v)) |
(cos.f64 v) |
(exp.f64 (*.f64 (log.f64 (cos.f64 v)) #s(literal 1 binary64))) |
(+.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))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (sin.f64 v) (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (sin.f64 v))) (neg.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)))) e (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e)) |
#s(approx (* e (sin v)) (*.f64 (sin.f64 v) e)) |
#s(approx e e) |
#s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* e (cos v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
#s(approx (* e (cos v)) (*.f64 (cos.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (tan.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (tan.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)))) (-.f64 (fma.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64)))) #s(literal -1 binary64) (tan.f64 v)) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 e e)) (/.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 2 binary64)))))) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (cos.f64 v) 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)))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (tan.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (tan.f64 v))) |
#s(approx (+ 1 (* e (cos v))) (neg.f64 (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) e))) (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/720 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (* e (sin v)) (*.f64 v e)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
#s(approx (sin v) v) |
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx v v) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64))) |
#s(approx (+ 1 (* e (cos v))) (+.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 (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64))) |
#s(approx (* e (cos v)) e) |
#s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)) |
#s(approx (* e (cos v)) (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)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)) |
#s(approx (cos v) #s(literal 1 binary64)) |
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64))) |
#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) (fma.f64 (-.f64 (*.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)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
#s(approx (sin v) (sin.f64 v)) |
#s(approx (cos v) (cos.f64 v)) |
Compiled 2 091 to 413 computations (80.2% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 7 | 92 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 86 | 7 | 93 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
| ▶ | 99.8% | (*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
| 60.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) | |
| 98.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e)) | |
| ▶ | 97.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| ▶ | 60.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))) |
| ▶ | 5.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v)) |
Compiled 272 to 188 computations (30.9% saved)
| Inputs |
|---|
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
e |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(sin.f64 v) |
v |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))) |
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
(/.f64 v (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v)) |
(tan.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) e) |
(/.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)) |
#s(approx (* e (cos v)) e) |
| Outputs |
|---|
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (sin v)))) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (* e (/ (sin v) (+ (* (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 #s(hole binary64 e)) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (sin v))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (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 (+ (* (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 (/ v (+ 1 e))) #s(hole binary64 (* e v))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 v)) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))) |
#s(approx (+ 1 e) #s(hole binary64 1)) |
#s(approx (+ 1 e) #s(hole binary64 (+ 1 e))) |
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v)))) |
#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 (* e (cos v)) #s(hole binary64 (* e (cos v)))) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (* e (/ (sin v) (+ (* (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 (* e (/ (sin v) (+ (* (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 (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (* e (cos v))))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e))) |
#s(approx (/ (sin v) (+ (* (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)))) e))) |
#s(approx (/ (sin v) (+ (* (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))))) e))) |
#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 (/ v (+ 1 e))) #s(hole binary64 v)) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e))) |
#s(approx (+ 1 e) #s(hole binary64 e)) |
#s(approx (+ 1 e) #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 (* e (/ (sin v) (+ (* (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 (* e (/ (sin v) (+ (* (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 (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)))) |
#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 (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e)))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))))) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (* e (/ (sin v) (+ (* (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 (* e (/ (sin v) (+ (* (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 (* e (/ (sin v) (+ (* (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) (+ (* (cos v) e) 1)) #s(hole binary64 (/ v (+ 1 e)))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))))) |
#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 v #s(hole binary64 v)) |
#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 (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 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 (/ v (+ 1 e))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e)))) |
#s(approx (tan v) #s(hole binary64 v)) |
#s(approx (tan v) #s(hole binary64 (* v (+ 1 (* 1/3 (pow v 2)))))) |
#s(approx (tan v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))))) |
#s(approx (tan v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 2/15 (* 17/315 (pow v 2)))))))))) |
#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 (* 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 (* 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 (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (+ 1 (* e (cos v)))))) |
#s(approx (sin v) #s(hole binary64 (sin v))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (tan v) #s(hole binary64 (/ (sin v) (cos v)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | v | @ | 0 | ((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (cos v))) |
| 3.0ms | v | @ | -inf | ((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (cos v))) |
| 3.0ms | v | @ | inf | ((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (cos v))) |
| 3.0ms | e | @ | -inf | ((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (cos v))) |
| 2.0ms | e | @ | inf | ((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (cos v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 476 | 3507 |
| 0 | 497 | 3321 |
| 1 | 2644 | 3247 |
| 0 | 8086 | 3152 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
e |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(sin.f64 v) |
v |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))) |
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
(/.f64 v (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v)) |
(tan.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) e) |
(/.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)) |
#s(approx (* e (cos v)) e) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (sin v)))) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))) |
#s(approx (* e (/ (sin v) (+ (* (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 #s(hole binary64 e)) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (sin v))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (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 (+ (* (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 (/ v (+ 1 e))) #s(hole binary64 (* e v))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 v)) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))) |
#s(approx (+ 1 e) #s(hole binary64 1)) |
#s(approx (+ 1 e) #s(hole binary64 (+ 1 e))) |
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v)))) |
#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 (* e (cos v)) #s(hole binary64 (* e (cos v)))) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (sin v) (cos v)))) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))))) |
#s(approx (* e (/ (sin v) (+ (* (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 (* e (/ (sin v) (+ (* (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 (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (* e (cos v))))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e))) |
#s(approx (/ (sin v) (+ (* (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)))) e))) |
#s(approx (/ (sin v) (+ (* (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))))) e))) |
#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 (/ v (+ 1 e))) #s(hole binary64 v)) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e))) |
#s(approx (+ 1 e) #s(hole binary64 e)) |
#s(approx (+ 1 e) #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 (* e (/ (sin v) (+ (* (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 (* e (/ (sin v) (+ (* (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 (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)))) |
#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 (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e)))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))))) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (* e (/ (sin v) (+ (* (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 (* e (/ (sin v) (+ (* (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 (* e (/ (sin v) (+ (* (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) (+ (* (cos v) e) 1)) #s(hole binary64 (/ v (+ 1 e)))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))))) |
#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 v #s(hole binary64 v)) |
#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 (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 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 (/ v (+ 1 e))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e)))) |
#s(approx (tan v) #s(hole binary64 v)) |
#s(approx (tan v) #s(hole binary64 (* v (+ 1 (* 1/3 (pow v 2)))))) |
#s(approx (tan v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))))) |
#s(approx (tan v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 2/15 (* 17/315 (pow v 2)))))))))) |
#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 (* 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 (* 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 (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (+ 1 (* e (cos v)))))) |
#s(approx (sin v) #s(hole binary64 (sin v))) |
#s(approx (cos v) #s(hole binary64 (cos v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v)))))) |
#s(approx (tan v) #s(hole binary64 (/ (sin v) (cos v)))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 v) e))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (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))) |
e |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(sin.f64 v) |
v |
(*.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) e) |
(*.f64 e (+.f64 (pow.f64 e #s(literal -1 binary64)) (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 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (neg.f64 (+.f64 #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 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) |
(/.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 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 #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 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))) |
(fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 e #s(literal -1 binary64)))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 e (cos.f64 v) (*.f64 e (pow.f64 e #s(literal -1 binary64)))) |
(fma.f64 e (cos.f64 v) #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 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v))) |
(+.f64 (*.f64 (cos.f64 v) e) (*.f64 e (pow.f64 e #s(literal -1 binary64)))) |
(+.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(pow.f64 (cos.f64 v) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal -1 binary64))) |
(fma.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (fma.f64 #s(literal -1 binary64) v (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 v (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 v))) |
(cos.f64 (neg.f64 v)) |
(cos.f64 v) |
(exp.f64 (*.f64 (log.f64 (cos.f64 v)) #s(literal 1 binary64))) |
(+.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))))) |
#s(literal 1 binary64) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 v e))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 (neg.f64 (*.f64 v e)) (neg.f64 (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)) |
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 (neg.f64 v) (neg.f64 (+.f64 #s(literal 1 binary64) e))) |
(/.f64 v (+.f64 #s(literal 1 binary64) e)) |
(pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e))) (neg.f64 (-.f64 #s(literal 1 binary64) e))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 1 binary64) e))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))) |
(exp.f64 (*.f64 (log1p.f64 e) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) e) |
(+.f64 e #s(literal 1 binary64)) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) (tan.f64 v)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (cos.f64 v)))) |
(/.f64 (+.f64 (tan.f64 v) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 v) (tan.f64 (PI.f64))))) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (cos.f64 v))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(tan.f64 (+.f64 (+.f64 v (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 v (PI.f64))) |
(tan.f64 v) |
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(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
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(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
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#s(approx (* e (/ v (+ 1 e))) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)) |
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#s(approx (/ v (+ 1 e)) v) |
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#s(approx (/ v (+ 1 e)) (fma.f64 (-.f64 (*.f64 v e) v) e v)) |
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#s(approx (+ 1 e) #s(literal 1 binary64)) |
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#s(approx (* e (sin v)) (*.f64 (sin.f64 v) e)) |
#s(approx (* e (sin v)) (*.f64 (sin.f64 v) e)) |
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#s(approx (* e (cos v)) (*.f64 (cos.f64 v) e)) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) (tan.f64 v)) |
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#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (tan.f64 v)) e)) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (tan.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64)))) #s(literal -1 binary64) (tan.f64 v)) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 e e)) (/.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 2 binary64))))) e)) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (cos.f64 v) e)) |
#s(approx (+ 1 (* e (cos v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) (tan.f64 v)) |
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#s(approx (* e (/ v (+ 1 e))) v) |
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#s(approx (* e (/ v (+ 1 e))) (-.f64 (+.f64 (/.f64 v (*.f64 e e)) v) (/.f64 v e))) |
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#s(approx (/ v (+ 1 e)) (/.f64 v e)) |
#s(approx (/ v (+ 1 e)) (/.f64 (fma.f64 (/.f64 v e) #s(literal -1 binary64) v) e)) |
#s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (+.f64 (/.f64 v (*.f64 e e)) v) (/.f64 v e)) e)) |
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#s(approx (+ 1 e) e) |
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#s(approx (+ 1 (* e (cos v))) (*.f64 (cos.f64 v) e)) |
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#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (tan.f64 v))) |
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#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (neg.f64 (tan.f64 v))) e))) |
#s(approx (+ 1 (* e (cos v))) (neg.f64 (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) e))) |
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#s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 (fma.f64 (/.f64 v e) #s(literal -1 binary64) v) e) #s(literal -1 binary64) v)) |
#s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 v e) #s(literal -1 binary64) v) e) #s(literal -1 binary64) v) e) #s(literal -1 binary64) v)) |
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) v (/.f64 v e)) e))) |
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 v e) v) e) #s(literal -1 binary64) (neg.f64 v)) e))) |
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#s(approx (+ 1 (* e (cos v))) (neg.f64 (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) e))) |
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#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 v v)) (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v)) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/24 binary64)))) (*.f64 v v)) (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v)) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 v v)) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/24 binary64)))) e) (*.f64 #s(literal -1/24 binary64) (*.f64 (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) e))) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/5040 binary64) (+.f64 #s(literal 1 binary64) e)))) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/24 binary64))))) (*.f64 v v)) (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v)) |
#s(approx (sin v) v) |
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx v v) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64))) |
#s(approx (+ 1 (* e (cos v))) (+.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 (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64))) |
#s(approx (cos v) #s(literal 1 binary64)) |
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64))) |
#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) (fma.f64 (-.f64 (*.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) (+ (* (cos v) e) 1))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) e))) (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/720 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (* e (/ v (+ 1 e))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ v (+ 1 e)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
#s(approx (tan v) v) |
#s(approx (tan v) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx (tan v) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx (tan v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx (* e (sin v)) (*.f64 v e)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
#s(approx (* e (sin v)) (*.f64 v e)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64))) |
#s(approx (+ 1 (* e (cos v))) (+.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 (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64))) |
#s(approx (* e (cos v)) e) |
#s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)) |
#s(approx (* e (cos v)) (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)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
#s(approx (sin v) (sin.f64 v)) |
#s(approx (cos v) (cos.f64 v)) |
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
#s(approx (tan v) (tan.f64 v)) |
Compiled 5 001 to 827 computations (83.5% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 8 | 209 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 204 | 12 | 216 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.7% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
| ✓ | 99.8% | (*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
| 60.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) | |
| ✓ | 97.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| ▶ | 58.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
| 59.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e)) | |
| ▶ | 60.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (exp.f64 (*.f64 (log1p.f64 e) #s(literal 1 binary64)))))) |
| ▶ | 59.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v)))) |
| ✓ | 5.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v)) |
| 2.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v))) | |
| ▶ | 4.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
| 58.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
Compiled 476 to 315 computations (33.8% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (exp.f64 (*.f64 (log1p.f64 e) #s(literal 1 binary64)))))) |
(*.f64 e (/.f64 v (exp.f64 (*.f64 (log1p.f64 e) #s(literal 1 binary64))))) |
e |
(/.f64 v (exp.f64 (*.f64 (log1p.f64 e) #s(literal 1 binary64)))) |
v |
(exp.f64 (*.f64 (log1p.f64 e) #s(literal 1 binary64))) |
(*.f64 (log1p.f64 e) #s(literal 1 binary64)) |
(log1p.f64 e) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
#s(approx (* e (/ v (+ 1 e))) v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v)))) |
(*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v))) |
#s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v)) |
(fma.f64 (*.f64 v e) #s(literal -1 binary64) v) |
(*.f64 v e) |
#s(literal -1 binary64) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
(*.f64 e #s(approx (sin v) v)) |
#s(approx (sin v) v) |
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)) |
#s(approx (* e (cos v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) |
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 v v) |
| 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 (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (* e v))) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx e #s(hole binary64 e)) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 v)) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (+ v (* -1 (* e v))))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (+ v (* e (- (* e v) v))))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))) |
#s(approx (exp (* (log (+ 1 e)) 1)) #s(hole binary64 1)) |
#s(approx (exp (* (log (+ 1 e)) 1)) #s(hole binary64 (+ 1 e))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 e)) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (* e (+ 1 (* -1/2 e))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (* e (+ 1 (* e (- (* 1/3 e) 1/2)))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1/3 (* -1/4 e))) 1/2)))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 e)) |
#s(approx (log (+ 1 e)) #s(hole binary64 (* e (+ 1 (* -1/2 e))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (* e (+ 1 (* e (- (* 1/3 e) 1/2)))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1/3 (* -1/4 e))) 1/2)))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e v))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 v)) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 v)) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 (+ v (* -1 (* e v))))) |
#s(approx (* v e) #s(hole binary64 (* e v))) |
#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 (* e (cos v)) #s(hole binary64 (* e (cos v)))) |
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin 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 (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 v)) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (/ v e))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e))) |
#s(approx (exp (* (log (+ 1 e)) 1)) #s(hole binary64 e)) |
#s(approx (exp (* (log (+ 1 e)) 1)) #s(hole binary64 (* e (+ 1 (/ 1 e))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (* -1 (log (/ 1 e))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (+ (* -1 (log (/ 1 e))) (/ 1 e)))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 e))) (/ 1 e)) (/ 1/2 (pow e 2))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 e))) (+ (/ 1 e) (* 1/3 (/ 1 (pow e 3))))) (/ 1/2 (pow e 2))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (* -1 (log (/ 1 e))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (+ (* -1 (log (/ 1 e))) (/ 1 e)))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (- (+ (* -1 (log (/ 1 e))) (/ 1 e)) (/ 1/2 (pow e 2))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (- (+ (* -1 (log (/ 1 e))) (+ (/ 1 e) (* 1/3 (/ 1 (pow e 3))))) (/ 1/2 (pow e 2))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 v)) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e))) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 (* -1 (* e v)))) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 (* e (+ (* -1 v) (/ v 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 (/ (* 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 (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e)))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e)))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e)))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 e)))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 e))) (/ 1 e))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 e))) (* -1 (/ (- (* 1/2 (/ 1 e)) 1) e)))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 e))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 e)) 1/2) e)) 1) e)))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 e)))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 e))) (/ 1 e))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 e))) (* -1 (/ (- (* 1/2 (/ 1 e)) 1) e)))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 e))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 e)) 1/2) e)) 1) e)))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e)))) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 (* -1 (* e (+ v (* -1 (/ v e))))))) |
#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 (/ (* 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 (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (/ v (+ 1 e)))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e)))) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 (* v (+ 1 (* -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 (+ 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 (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 (* (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 (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 v)) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2)))))) |
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow v 2))))) |
#s(approx (* v v) #s(hole binary64 (pow v 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 (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* -1/6 (pow v 3)))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* (pow v 3) (- (/ 1 (pow v 2)) 1/6)))) |
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 (* -1/6 (pow v 2)))) |
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1/6)))) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 (* -1 (* v (- e 1))))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | v | @ | -inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (exp (* (log (+ 1 e)) 1)))) e (/ v (exp (* (log (+ 1 e)) 1))) v (exp (* (log (+ 1 e)) 1)) (* (log (+ 1 e)) 1) (log (+ 1 e)) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (* (* v e) -1) v) (* v e) -1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6 (* v v)) |
| 5.0ms | e | @ | inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (exp (* (log (+ 1 e)) 1)))) e (/ v (exp (* (log (+ 1 e)) 1))) v (exp (* (log (+ 1 e)) 1)) (* (log (+ 1 e)) 1) (log (+ 1 e)) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (* (* v e) -1) v) (* v e) -1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6 (* v v)) |
| 4.0ms | e | @ | -inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (exp (* (log (+ 1 e)) 1)))) e (/ v (exp (* (log (+ 1 e)) 1))) v (exp (* (log (+ 1 e)) 1)) (* (log (+ 1 e)) 1) (log (+ 1 e)) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (* (* v e) -1) v) (* v e) -1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6 (* v v)) |
| 3.0ms | v | @ | inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (exp (* (log (+ 1 e)) 1)))) e (/ v (exp (* (log (+ 1 e)) 1))) v (exp (* (log (+ 1 e)) 1)) (* (log (+ 1 e)) 1) (log (+ 1 e)) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (* (* v e) -1) v) (* v e) -1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6 (* v v)) |
| 2.0ms | v | @ | 0 | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (exp (* (log (+ 1 e)) 1)))) e (/ v (exp (* (log (+ 1 e)) 1))) v (exp (* (log (+ 1 e)) 1)) (* (log (+ 1 e)) 1) (log (+ 1 e)) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (* (* v e) -1) v) (* v e) -1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6 (* v v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 474 | 3054 |
| 0 | 494 | 2822 |
| 1 | 2486 | 2761 |
| 0 | 10680 | 2648 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (exp.f64 (*.f64 (log1p.f64 e) #s(literal 1 binary64)))))) |
(*.f64 e (/.f64 v (exp.f64 (*.f64 (log1p.f64 e) #s(literal 1 binary64))))) |
e |
(/.f64 v (exp.f64 (*.f64 (log1p.f64 e) #s(literal 1 binary64)))) |
v |
(exp.f64 (*.f64 (log1p.f64 e) #s(literal 1 binary64))) |
(*.f64 (log1p.f64 e) #s(literal 1 binary64)) |
(log1p.f64 e) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
#s(approx (* e (/ v (+ 1 e))) v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v)))) |
(*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v))) |
#s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v)) |
(fma.f64 (*.f64 v e) #s(literal -1 binary64) v) |
(*.f64 v e) |
#s(literal -1 binary64) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
(*.f64 e #s(approx (sin v) v)) |
#s(approx (sin v) v) |
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)) |
#s(approx (* e (cos v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) |
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 v v) |
#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 (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (* e v))) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx e #s(hole binary64 e)) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 v)) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (+ v (* -1 (* e v))))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (+ v (* e (- (* e v) v))))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))) |
#s(approx (exp (* (log (+ 1 e)) 1)) #s(hole binary64 1)) |
#s(approx (exp (* (log (+ 1 e)) 1)) #s(hole binary64 (+ 1 e))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 e)) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (* e (+ 1 (* -1/2 e))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (* e (+ 1 (* e (- (* 1/3 e) 1/2)))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1/3 (* -1/4 e))) 1/2)))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 e)) |
#s(approx (log (+ 1 e)) #s(hole binary64 (* e (+ 1 (* -1/2 e))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (* e (+ 1 (* e (- (* 1/3 e) 1/2)))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1/3 (* -1/4 e))) 1/2)))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e v))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 v)) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 v)) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 (+ v (* -1 (* e v))))) |
#s(approx (* v e) #s(hole binary64 (* e v))) |
#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 (* e (cos v)) #s(hole binary64 (* e (cos v)))) |
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin 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 (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 v)) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (/ v e))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e))) |
#s(approx (exp (* (log (+ 1 e)) 1)) #s(hole binary64 e)) |
#s(approx (exp (* (log (+ 1 e)) 1)) #s(hole binary64 (* e (+ 1 (/ 1 e))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (* -1 (log (/ 1 e))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (+ (* -1 (log (/ 1 e))) (/ 1 e)))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 e))) (/ 1 e)) (/ 1/2 (pow e 2))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 e))) (+ (/ 1 e) (* 1/3 (/ 1 (pow e 3))))) (/ 1/2 (pow e 2))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (* -1 (log (/ 1 e))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (+ (* -1 (log (/ 1 e))) (/ 1 e)))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (- (+ (* -1 (log (/ 1 e))) (/ 1 e)) (/ 1/2 (pow e 2))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (- (+ (* -1 (log (/ 1 e))) (+ (/ 1 e) (* 1/3 (/ 1 (pow e 3))))) (/ 1/2 (pow e 2))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 v)) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e))) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 (* -1 (* e v)))) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 (* e (+ (* -1 v) (/ v 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 (/ (* 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 (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* e (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e)))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e)))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e)))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 e)))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 e))) (/ 1 e))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 e))) (* -1 (/ (- (* 1/2 (/ 1 e)) 1) e)))))) |
#s(approx (* (log (+ 1 e)) 1) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 e))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 e)) 1/2) e)) 1) e)))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 e)))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 e))) (/ 1 e))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 e))) (* -1 (/ (- (* 1/2 (/ 1 e)) 1) e)))))) |
#s(approx (log (+ 1 e)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 e))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 e)) 1/2) e)) 1) e)))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e)))) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 (* -1 (* e (+ v (* -1 (/ v e))))))) |
#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 (/ (* 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 (/ v (exp (* (log (+ 1 e)) 1)))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ v (exp (* (log (+ 1 e)) 1))) #s(hole binary64 (/ v (+ 1 e)))) |
#s(approx v #s(hole binary64 v)) |
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e)))) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 (* v (+ 1 (* -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 (+ 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 (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 (* (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 (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 v)) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2)))))) |
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow v 2))))) |
#s(approx (* v v) #s(hole binary64 (pow v 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 (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* -1/6 (pow v 3)))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* (pow v 3) (- (/ 1 (pow v 2)) 1/6)))) |
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 (* -1/6 (pow v 2)))) |
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1/6)))) |
#s(approx (+ (* (* v e) -1) v) #s(hole binary64 (* -1 (* v (- e 1))))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2))))))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) v)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 (*.f64 (neg.f64 e) v) (neg.f64 (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)) |
e |
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 (neg.f64 v) (neg.f64 (+.f64 #s(literal 1 binary64) e))) |
(/.f64 v (+.f64 #s(literal 1 binary64) e)) |
v |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 e)) |
(pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 e e (-.f64 #s(literal 1 binary64) (*.f64 e #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log1p.f64 e)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log1p.f64 e)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log1p.f64 e)) (cosh.f64 (log1p.f64 e)) (-.f64 (*.f64 (sinh.f64 (log1p.f64 e)) (sinh.f64 (log1p.f64 e))) (*.f64 (cosh.f64 (log1p.f64 e)) (sinh.f64 (log1p.f64 e)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e))) (neg.f64 (-.f64 #s(literal 1 binary64) e))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 1 binary64) e))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))) |
(exp.f64 (log1p.f64 e)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 1 binary64) e)))) (/.f64 (pow.f64 e #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 1 binary64) e))))) |
(+.f64 (cosh.f64 (log1p.f64 e)) (sinh.f64 (log1p.f64 e))) |
(+.f64 #s(literal 1 binary64) e) |
(+.f64 e #s(literal 1 binary64)) |
(*.f64 (log1p.f64 e) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (log1p.f64 e)) |
(log1p.f64 e) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e))) (log.f64 (-.f64 #s(literal 1 binary64) e))) |
(-.f64 (log1p.f64 (pow.f64 e #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 e e) (*.f64 #s(literal 1 binary64) e)))) |
(log.f64 (+.f64 #s(literal 1 binary64) e)) |
(*.f64 (log1p.f64 e) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (log1p.f64 e)) |
(log1p.f64 e) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e))) (log.f64 (-.f64 #s(literal 1 binary64) e))) |
(-.f64 (log1p.f64 (pow.f64 e #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 e e) (*.f64 #s(literal 1 binary64) e)))) |
(log.f64 (+.f64 #s(literal 1 binary64) e)) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
#s(approx (* e (/ v (+ 1 e))) v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
(*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e) |
(*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v))) |
#s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) |
(/.f64 (neg.f64 (-.f64 (*.f64 v v) (pow.f64 (*.f64 v e) #s(literal 2 binary64)))) (neg.f64 (-.f64 v (*.f64 (neg.f64 e) v)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (*.f64 v v))) (neg.f64 (-.f64 (*.f64 (neg.f64 e) v) v))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 e) v) #s(literal 3 binary64)))) (neg.f64 (fma.f64 v v (-.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (*.f64 v (*.f64 (neg.f64 e) v)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 v e) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 v #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (-.f64 (*.f64 v v) (*.f64 (*.f64 (neg.f64 e) v) v))))) |
(/.f64 (-.f64 (*.f64 v v) (pow.f64 (*.f64 v e) #s(literal 2 binary64))) (-.f64 v (*.f64 (neg.f64 e) v))) |
(/.f64 (-.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (*.f64 v v)) (-.f64 (*.f64 (neg.f64 e) v) v)) |
(/.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 e) v) #s(literal 3 binary64))) (fma.f64 v v (-.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (*.f64 v (*.f64 (neg.f64 e) v))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 v e) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 v #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (-.f64 (*.f64 v v) (*.f64 (*.f64 (neg.f64 e) v) v)))) |
(fma.f64 (neg.f64 e) v v) |
(fma.f64 (*.f64 v e) #s(literal -1 binary64) v) |
(fma.f64 #s(literal -1 binary64) (*.f64 v e) v) |
(fma.f64 v (neg.f64 e) v) |
(-.f64 (/.f64 (*.f64 v v) (-.f64 v (*.f64 (neg.f64 e) v))) (/.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (-.f64 v (*.f64 (neg.f64 e) v)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 e) v) v)) (/.f64 (*.f64 v v) (-.f64 (*.f64 (neg.f64 e) v) v))) |
(-.f64 v (*.f64 #s(literal 1 binary64) (*.f64 v e))) |
(+.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 v v (-.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (*.f64 v (*.f64 (neg.f64 e) v))))) (/.f64 (pow.f64 (*.f64 (neg.f64 e) v) #s(literal 3 binary64)) (fma.f64 v v (-.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (*.f64 v (*.f64 (neg.f64 e) v)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 e) v) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (-.f64 (*.f64 v v) (*.f64 (*.f64 (neg.f64 e) v) v)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) (-.f64 (*.f64 v v) (*.f64 (*.f64 (neg.f64 e) v) v))))) |
(+.f64 (*.f64 (neg.f64 e) v) v) |
(+.f64 v (*.f64 (neg.f64 e) v)) |
(*.f64 v e) |
(*.f64 e v) |
#s(literal -1 binary64) |
(*.f64 e (/.f64 #s(approx (sin v) v) (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (sin v) v) e))) (neg.f64 (neg.f64 (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (sin v) v) e)) (neg.f64 (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin v) v) e) (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64))) |
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#s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 (-.f64 v (/.f64 v e)) e) #s(literal -1 binary64) v)) |
#s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 v (/.f64 v e)) e) #s(literal -1 binary64) v) e) #s(literal -1 binary64) v)) |
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) v (/.f64 v e)) e))) |
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 v e) v) e) #s(literal -1 binary64) (neg.f64 v)) e))) |
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) v) e) #s(literal -1 binary64) (neg.f64 v)) e))) |
#s(approx (* (log (+ 1 e)) 1) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) |
#s(approx (* (log (+ 1 e)) 1) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64) (pow.f64 e #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))) |
#s(approx (* (log (+ 1 e)) 1) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) e)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) e) #s(literal 1 binary64)) e)) (log.f64 #s(literal -1 binary64)))) |
#s(approx (* (log (+ 1 e)) 1) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) e)) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) e) #s(literal 1/2 binary64)) e)) #s(literal 1 binary64)) e)) (log.f64 #s(literal -1 binary64)))) |
#s(approx (* (log (+ 1 e)) 1) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) |
#s(approx (* (log (+ 1 e)) 1) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64) (pow.f64 e #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))) |
#s(approx (* (log (+ 1 e)) 1) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) e)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) e) #s(literal 1 binary64)) e)) (log.f64 #s(literal -1 binary64)))) |
#s(approx (* (log (+ 1 e)) 1) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) e)) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) e) #s(literal 1/2 binary64)) e)) #s(literal 1 binary64)) e)) (log.f64 #s(literal -1 binary64)))) |
#s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 (-.f64 v (/.f64 v e)) e) #s(literal -1 binary64) v)) |
#s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 v (/.f64 v e)) e) #s(literal -1 binary64) v) e) #s(literal -1 binary64) v)) |
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) v (/.f64 v e)) e))) |
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 v e) v) e) #s(literal -1 binary64) (neg.f64 v)) e))) |
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) v) e) #s(literal -1 binary64) (neg.f64 v)) e))) |
#s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e)))) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) e))) (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/720 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (* e (/ v (+ 1 e))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ v (+ 1 e)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
#s(approx v v) |
#s(approx (* e (/ v (+ 1 e))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ v (+ 1 e)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
#s(approx (+ (* (* v e) -1) v) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v)) |
#s(approx (* (sin v) e) (*.f64 v e)) |
#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) (*.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) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
#s(approx (sin v) v) |
#s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) |
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64))) |
#s(approx (+ 1 (* e (cos v))) (+.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 (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64))) |
#s(approx (* e (cos v)) e) |
#s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)) |
#s(approx (* e (cos v)) (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)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)) |
#s(approx (* (sin v) e) (*.f64 v e)) |
#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) (*.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) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) v) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) |
#s(approx (+ (* -1/6 (* v v)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* -1/6 (* v v)) 1) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (* v v) (*.f64 v v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
#s(approx (sin v) (sin.f64 v)) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 v #s(literal 3 binary64)))) |
#s(approx (+ (* -1/6 (* v v)) 1) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) |
#s(approx (+ (* -1/6 (* v v)) 1) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 v v))) |
#s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 v) (-.f64 e #s(literal 1 binary64)))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (pow.f64 v #s(literal -2 binary64))))) |
Compiled 7 277 to 1 162 computations (84% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 234 | 9 | 243 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 238 | 17 | 255 |
| Status | Accuracy | Program |
|---|---|---|
| 61.4% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)))) | |
| ▶ | 61.5% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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)))) |
| ▶ | 61.4% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)))) |
| ✓ | 60.7% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
| ✓ | 99.8% | (*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
| 60.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) | |
| ✓ | 97.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| ▶ | 59.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
| ✓ | 58.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
| 32.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v)) e)) | |
| ▶ | 59.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e)) |
| 60.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (exp.f64 (log1p.f64 e))))) | |
| 59.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))))) | |
| 33.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) v))))) | |
| ✓ | 5.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v)) |
| ✓ | 4.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
| ▶ | 58.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
Compiled 751 to 483 computations (35.7% saved)
| Inputs |
|---|
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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)))) |
(*.f64 e #s(approx (sin v) v)) |
e |
#s(approx (sin v) v) |
v |
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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 (* e (cos v)) (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)) |
(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) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) |
(*.f64 (*.f64 v v) e) |
(*.f64 v v) |
#s(literal 1/24 binary64) |
(*.f64 #s(literal -1/2 binary64) e) |
#s(literal -1/2 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e)) |
(*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e) |
#s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
(*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e) |
#s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) |
(fma.f64 (neg.f64 e) v v) |
(neg.f64 e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)))) |
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e))) |
#s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) |
| 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 (* e (sin v)) #s(hole binary64 (* e (sin v)))) |
#s(approx e #s(hole binary64 e)) |
#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 (cos v)) #s(hole binary64 (* e (cos v)))) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (* e (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) #s(hole binary64 (* e (- (* 1/24 (pow v 2)) 1/2)))) |
#s(approx (* (* v v) e) #s(hole binary64 (* e (pow v 2)))) |
#s(approx (* -1/2 e) #s(hole binary64 (* -1/2 e))) |
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v)))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (* e v))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 v)) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 v)) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (+ v (* -1 (* e v))))) |
#s(approx (neg e) #s(hole binary64 (* -1 e))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* e (* v (+ 1 (* -1/6 (pow v 2))))))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 (* e (+ 1 (* -1/6 (pow v 2)))))) |
#s(approx (+ (* (* (* v v) e) -1/2) e) #s(hole binary64 (* e (+ 1 (* -1/2 (pow v 2)))))) |
#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 (* e (cos v)))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (+ (cos v) (/ 1 e))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 v)) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e))) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* -1 (* e v)))) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* e (+ (* -1 v) (/ v 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 (- (* -1 (cos v)) (/ 1 e)))))) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (* -1 (* e (- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) 1))))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) #s(hole binary64 (* -1 (* e (+ 1/2 (* -1/24 (pow v 2))))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e)))) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* -1 (* e (+ v (* -1 (/ v e))))))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1)))))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 (* -1 (* e (- (* 1/6 (pow v 2)) 1))))) |
#s(approx (+ (* (* (* v v) e) -1/2) e) #s(hole binary64 (* -1 (* e (- (* 1/2 (pow v 2)) 1))))) |
#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 v #s(hole binary64 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 (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 (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 e)) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2)))))) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) #s(hole binary64 (* -1/2 e))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) #s(hole binary64 (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#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 (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 v)) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2)))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e)))) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* v (+ 1 (* -1 e))))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* e v))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2))))))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 e)) |
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 (+ e (* -1/6 (* e (pow v 2)))))) |
#s(approx (+ (* (* (* v v) e) -1/2) e) #s(hole binary64 e)) |
#s(approx (+ (* (* (* v v) e) -1/2) e) #s(hole binary64 (+ e (* -1/2 (* e (pow v 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 (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (* 1/24 (* e (pow v 4))))) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (* 1/24 e))))) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (/ e (pow v 4))))))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) #s(hole binary64 (* 1/24 (* e (pow v 2))))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) #s(hole binary64 (* (pow v 2) (+ (* -1/2 (/ e (pow v 2))) (* 1/24 e))))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* -1/6 (pow v 3)))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* (pow v 3) (- (/ 1 (pow v 2)) 1/6)))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* -1/6 (* e (pow v 3))))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2)))))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 (* -1/6 (* e (pow v 2))))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2)))))) |
#s(approx (+ (* (* (* v v) e) -1/2) e) #s(hole binary64 (* -1/2 (* e (pow v 2))))) |
#s(approx (+ (* (* (* v v) e) -1/2) e) #s(hole binary64 (* (pow v 2) (+ (* -1/2 e) (/ e (pow v 2)))))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2))))))) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* -1 (* v (- e 1))))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | e | @ | 0 | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* (* v v) e) (* v v) 1/24 (* -1/2 e) -1/2 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ v (+ 1 e)) e) (/ v (+ 1 e)) (+ (* (neg e) v) v) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) -1/6 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (* e (cos v)) (+ (* (* (* v v) e) -1/2) e)) |
| 5.0ms | v | @ | -inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* (* v v) e) (* v v) 1/24 (* -1/2 e) -1/2 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ v (+ 1 e)) e) (/ v (+ 1 e)) (+ (* (neg e) v) v) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) -1/6 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (* e (cos v)) (+ (* (* (* v v) e) -1/2) e)) |
| 5.0ms | e | @ | -inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* (* v v) e) (* v v) 1/24 (* -1/2 e) -1/2 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ v (+ 1 e)) e) (/ v (+ 1 e)) (+ (* (neg e) v) v) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) -1/6 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (* e (cos v)) (+ (* (* (* v v) e) -1/2) e)) |
| 4.0ms | e | @ | inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* (* v v) e) (* v v) 1/24 (* -1/2 e) -1/2 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ v (+ 1 e)) e) (/ v (+ 1 e)) (+ (* (neg e) v) v) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) -1/6 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (* e (cos v)) (+ (* (* (* v v) e) -1/2) e)) |
| 4.0ms | v | @ | inf | ((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* (* v v) e) (* v v) 1/24 (* -1/2 e) -1/2 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ v (+ 1 e)) e) (/ v (+ 1 e)) (+ (* (neg e) v) v) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) -1/6 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (* e (cos v)) (+ (* (* (* v v) e) -1/2) e)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 467 | 2929 |
| 0 | 495 | 2831 |
| 1 | 2516 | 2792 |
| 0 | 10279 | 2698 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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)))) |
(*.f64 e #s(approx (sin v) v)) |
e |
#s(approx (sin v) v) |
v |
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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 (* e (cos v)) (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)) |
(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) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) |
(*.f64 (*.f64 v v) e) |
(*.f64 v v) |
#s(literal 1/24 binary64) |
(*.f64 #s(literal -1/2 binary64) e) |
#s(literal -1/2 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e)) |
(*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e) |
#s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
(*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e) |
#s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) |
(fma.f64 (neg.f64 e) v v) |
(neg.f64 e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)))) |
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e))) |
#s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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 #s(hole binary64 e)) |
#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 (cos v)) #s(hole binary64 (* e (cos v)))) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (* e (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) #s(hole binary64 (* e (- (* 1/24 (pow v 2)) 1/2)))) |
#s(approx (* (* v v) e) #s(hole binary64 (* e (pow v 2)))) |
#s(approx (* -1/2 e) #s(hole binary64 (* -1/2 e))) |
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v)))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (* e v))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (* e (+ v (* -1 (* e v)))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (* e (+ v (* e (- (* e v) v)))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 v)) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 v)) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (+ v (* -1 (* e v))))) |
#s(approx (neg e) #s(hole binary64 (* -1 e))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* e (* v (+ 1 (* -1/6 (pow v 2))))))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 (* e (+ 1 (* -1/6 (pow v 2)))))) |
#s(approx (+ (* (* (* v v) e) -1/2) e) #s(hole binary64 (* e (+ 1 (* -1/2 (pow v 2)))))) |
#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 (* e (cos v)))) |
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (+ (cos v) (/ 1 e))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 v)) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (+ v (* -1 (/ v e))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e)))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e))) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* -1 (* e v)))) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* e (+ (* -1 v) (/ v 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 (- (* -1 (cos v)) (/ 1 e)))))) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (* -1 (* e (- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) 1))))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) #s(hole binary64 (* -1 (* e (+ 1/2 (* -1/24 (pow v 2))))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e)))) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* -1 (* e (+ v (* -1 (/ v e))))))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1)))))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 (* -1 (* e (- (* 1/6 (pow v 2)) 1))))) |
#s(approx (+ (* (* (* v v) e) -1/2) e) #s(hole binary64 (* -1 (* e (- (* 1/2 (pow v 2)) 1))))) |
#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 v #s(hole binary64 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 (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 (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 e)) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2)))))) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) #s(hole binary64 (* -1/2 e))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) #s(hole binary64 (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
#s(approx (* v v) #s(hole binary64 (pow v 2))) |
#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 (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 v)) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2)))))) |
#s(approx (* (/ v (+ 1 e)) e) #s(hole binary64 (/ (* e v) (+ 1 e)))) |
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e)))) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* v (+ 1 (* -1 e))))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* e v))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2))))))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 e)) |
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 (+ e (* -1/6 (* e (pow v 2)))))) |
#s(approx (+ (* (* (* v v) e) -1/2) e) #s(hole binary64 e)) |
#s(approx (+ (* (* (* v v) e) -1/2) e) #s(hole binary64 (+ e (* -1/2 (* e (pow v 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 (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (* 1/24 (* e (pow v 4))))) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (* 1/24 e))))) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) #s(hole binary64 (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (/ e (pow v 4))))))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) #s(hole binary64 (* 1/24 (* e (pow v 2))))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) #s(hole binary64 (* (pow v 2) (+ (* -1/2 (/ e (pow v 2))) (* 1/24 e))))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* -1/6 (pow v 3)))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* (pow v 3) (- (/ 1 (pow v 2)) 1/6)))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* -1/6 (* e (pow v 3))))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2)))))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 (* -1/6 (* e (pow v 2))))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2)))))) |
#s(approx (+ (* (* (* v v) e) -1/2) e) #s(hole binary64 (* -1/2 (* e (pow v 2))))) |
#s(approx (+ (* (* (* v v) e) -1/2) e) #s(hole binary64 (* (pow v 2) (+ (* -1/2 e) (/ e (pow v 2)))))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2))))))) |
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* -1 (* v (- e 1))))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e)))))) |
| Outputs |
|---|
(*.f64 e (/.f64 #s(approx (sin v) v) (+.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (sin v) v) e))) (neg.f64 (neg.f64 (+.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (sin v) v) e)) (neg.f64 (+.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (sin v) v) e) (+.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 1 binary64))) |
(*.f64 #s(approx (sin v) v) e) |
(*.f64 e #s(approx (sin v) v)) |
e |
#s(approx (sin v) v) |
v |
(/.f64 (+.f64 (pow.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)))) (/.f64 (pow.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)))))) (/.f64 (pow.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e))))))) |
(+.f64 #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e))) |
#s(literal 1 binary64) |
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#s(approx (+ 1 (* e (cos v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
#s(approx (* e (cos v)) (*.f64 (cos.f64 v) e)) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) e)) |
#s(approx (* (* v v) e) (*.f64 (*.f64 v v) e)) |
#s(approx (* -1/2 e) (*.f64 #s(literal -1/2 binary64) e)) |
#s(approx (* e (sin v)) (*.f64 (sin.f64 v) e)) |
#s(approx (* (/ v (+ 1 e)) e) (*.f64 v e)) |
#s(approx (* (/ v (+ 1 e)) e) (*.f64 (fma.f64 (neg.f64 e) v v) e)) |
#s(approx (* (/ v (+ 1 e)) e) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)) |
#s(approx (* (/ v (+ 1 e)) e) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 v e) v)) e) v) e v) e)) |
#s(approx (/ v (+ 1 e)) v) |
#s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) |
#s(approx (/ v (+ 1 e)) (fma.f64 (-.f64 (*.f64 v e) v) e v)) |
#s(approx (/ v (+ 1 e)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 v e) v)) e) v) e v)) |
#s(approx (+ (* (neg e) v) v) v) |
#s(approx (+ (* (neg e) v) v) (fma.f64 (neg.f64 e) v v)) |
#s(approx (neg e) (neg.f64 e)) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) (*.f64 (*.f64 v e) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e)) |
#s(approx (+ (* (* (* v v) e) -1/2) e) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (tan.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (tan.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)))) (-.f64 (fma.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64)))) #s(literal -1 binary64) (tan.f64 v)) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 e e)) (/.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 2 binary64)))))) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (cos.f64 v) e)) |
#s(approx (+ 1 (* e (cos v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
#s(approx (* (/ v (+ 1 e)) e) v) |
#s(approx (* (/ v (+ 1 e)) e) (-.f64 v (/.f64 v e))) |
#s(approx (* (/ v (+ 1 e)) e) (-.f64 (+.f64 (/.f64 v (*.f64 e e)) v) (/.f64 v e))) |
#s(approx (* (/ v (+ 1 e)) e) (-.f64 (fma.f64 (/.f64 v (pow.f64 e #s(literal 3 binary64))) #s(literal -1 binary64) v) (fma.f64 (/.f64 v (*.f64 e e)) #s(literal -1 binary64) (/.f64 v e)))) |
#s(approx (/ v (+ 1 e)) (/.f64 v e)) |
#s(approx (/ v (+ 1 e)) (/.f64 (-.f64 v (/.f64 v e)) e)) |
#s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (+.f64 (/.f64 v (*.f64 e e)) v) (/.f64 v e)) e)) |
#s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (fma.f64 (/.f64 v (pow.f64 e #s(literal 3 binary64))) #s(literal -1 binary64) v) (fma.f64 (/.f64 v (*.f64 e e)) #s(literal -1 binary64) (/.f64 v e))) e)) |
#s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) v)) |
#s(approx (+ (* (neg e) v) v) (*.f64 (fma.f64 #s(literal -1 binary64) v (/.f64 v e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (tan.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (tan.f64 v))) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (*.f64 (neg.f64 e) (-.f64 (*.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 (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (neg.f64 e) (fma.f64 #s(literal -1/24 binary64) (*.f64 v v) #s(literal 1/2 binary64)))) |
#s(approx (* (/ v (+ 1 e)) e) (fma.f64 (/.f64 (-.f64 v (/.f64 v e)) e) #s(literal -1 binary64) v)) |
#s(approx (* (/ v (+ 1 e)) e) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 v (/.f64 v e)) e) #s(literal -1 binary64) v) e) #s(literal -1 binary64) v)) |
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) v (/.f64 v e)) e))) |
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 v e) v) e) #s(literal -1 binary64) (neg.f64 v)) e))) |
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) v) e) #s(literal -1 binary64) (neg.f64 v)) e))) |
#s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e)))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) (*.f64 (neg.f64 e) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal 1 binary64)) v))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (neg.f64 e) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (* v v) e) -1/2) e) (*.f64 (neg.f64 e) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) #s(literal 1 binary64)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) e))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)) #s(literal 1/24 binary64))) e))) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (* e (sin v)) (*.f64 v e)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
#s(approx (sin v) v) |
#s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) |
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) |
#s(approx v v) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64))) |
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e) #s(literal 1 binary64))) |
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64))) |
#s(approx (* e (cos v)) e) |
#s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)) |
#s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) |
#s(approx (* e (cos v)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) e) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) e)) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 #s(literal -1/2 binary64) e)) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e))) |
#s(approx (* v v) (*.f64 v v)) |
#s(approx (* e (sin v)) (*.f64 v e)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) v) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) |
#s(approx (* (/ v (+ 1 e)) e) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ v (+ 1 e)) (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
#s(approx (+ (* (neg e) v) v) (fma.f64 (neg.f64 e) v v)) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) (*.f64 v e)) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) |
#s(approx (+ (* (* (* v v) e) -1/6) e) e) |
#s(approx (+ (* (* (* v v) e) -1/6) e) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e)) |
#s(approx (+ (* (* (* v v) e) -1/2) e) e) |
#s(approx (+ (* (* (* v v) e) -1/2) e) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
#s(approx (sin v) (sin.f64 v)) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) e) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) e)) (pow.f64 v #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/24 binary64) e (/.f64 e (pow.f64 v #s(literal 4 binary64))))) (pow.f64 v #s(literal 4 binary64)))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64))) |
#s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 v #s(literal 3 binary64)))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) #s(literal -1/6 binary64))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) e (/.f64 e (*.f64 v v))) (pow.f64 v #s(literal 3 binary64)))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (fma.f64 #s(literal -1/6 binary64) e (/.f64 e (*.f64 v v))) (*.f64 v v))) |
#s(approx (+ (* (* (* v v) e) -1/2) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64))) |
#s(approx (+ (* (* (* v v) e) -1/2) e) (*.f64 (fma.f64 #s(literal -1/2 binary64) e (/.f64 e (*.f64 v v))) (*.f64 v v))) |
#s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (pow.f64 v #s(literal -2 binary64))))) |
#s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 v) (-.f64 e #s(literal 1 binary64)))) |
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) (*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) e (/.f64 (neg.f64 e) (*.f64 v v))))) |
Compiled 14 545 to 1 794 computations (87.7% saved)
23 alts after pruning (14 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 398 | 10 | 408 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 402 | 23 | 425 |
| Status | Accuracy | Program |
|---|---|---|
| 59.9% | (/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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)))) | |
| 61.4% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)))) | |
| 61.5% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) v) v e)))) | |
| 61.3% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/2 binary64) e)))) | |
| 61.5% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 #s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) e)) (*.f64 v v) e)))) | |
| 61.5% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 #s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64))) (*.f64 v v) e)))) | |
| 61.5% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) #s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) e))))) | |
| 59.6% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) #s(approx (+ (* (* (* v v) e) -1/2) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64)))))) | |
| ✓ | 60.7% | (/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
| ✓ | 99.8% | (*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
| 60.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) | |
| ✓ | 97.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| ✓ | 59.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
| 59.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))) e)) | |
| 33.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) v))) e)) | |
| ✓ | 58.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
| 32.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v)) e)) | |
| ✓ | 59.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e)) |
| 60.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (exp.f64 (log1p.f64 e))))) | |
| ✓ | 5.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v)) |
| ✓ | 4.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
| ✓ | 58.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
| 32.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v))) |
Compiled 1 580 to 629 computations (60.2% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) 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)))) #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))) e)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) #s(approx (+ (* (* (* v v) e) -1/2) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/2 binary64) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 #s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64))) (*.f64 v v) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) #s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) e))))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 #s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) e)) (*.f64 v v) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) v) v e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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 (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) 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 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (exp.f64 (log1p.f64 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (exp.f64 (*.f64 (log1p.f64 e) #s(literal 1 binary64)))))) |
(*.f64 e (/.f64 (sin.f64 v) (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 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e)) |
| Outputs |
|---|
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
3 calls:
| 10.0ms | v |
| 9.0ms | e |
| 9.0ms | (/.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 (/ v (+ 1 e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) 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)))) #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))) e)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) #s(approx (+ (* (* (* v v) e) -1/2) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/2 binary64) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 #s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64))) (*.f64 v v) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) #s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) e))))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 #s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) e)) (*.f64 v v) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) v) v e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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 (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) 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 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (exp.f64 (log1p.f64 e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (exp.f64 (*.f64 (log1p.f64 e) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) |
3 calls:
| 11.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 8.0ms | v |
| 8.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 99.2% | 1 | e |
| 99.2% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) 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)))) #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))) e)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) #s(approx (+ (* (* (* v v) e) -1/2) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/2 binary64) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 #s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64))) (*.f64 v v) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) #s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) e))))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 #s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) e)) (*.f64 v v) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) v) v e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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 (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
3 calls:
| 9.0ms | 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 |
|---|---|---|
| 97.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 97.5% | 1 | e |
| 99.3% | 2 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) 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)))) #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))) e)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) #s(approx (+ (* (* (* v v) e) -1/2) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/2 binary64) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 #s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64))) (*.f64 v v) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) #s(approx (+ (* (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (* v v)) e) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) e))))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 #s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) e)) (*.f64 v v) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) v) v e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (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 (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v)) |
| Outputs |
|---|
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 #s(approx (+ (* (* (* v v) e) 1/24) (* -1/2 e)) (*.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64))) (*.f64 v v) e)))) |
3 calls:
| 7.0ms | e |
| 7.0ms | v |
| 7.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 61.5% | 1 | e |
| 61.5% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) 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)))) #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))) e)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) #s(approx (+ (* (* (* v v) e) -1/2) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/2 binary64) e)))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)))) |
| Outputs |
|---|
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)))) |
3 calls:
| 6.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 5.0ms | v |
| 5.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.4% | 1 | e |
| 61.4% | 1 | v |
| 61.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) 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)))) #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))) e)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) #s(approx (+ (* (* (* v v) e) -1/2) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/2 binary64) e)))) |
| Outputs |
|---|
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/2 binary64) e)))) |
3 calls:
| 8.0ms | e |
| 5.0ms | v |
| 5.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.3% | 1 | e |
| 61.3% | 1 | v |
| 61.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) 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)))) #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) (-.f64 v (/.f64 v e))))) e)) |
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) #s(approx (+ (* (* (* v v) e) -1/2) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64)))))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))) |
3 calls:
| 5.0ms | v |
| 5.0ms | e |
| 5.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 1 | v |
| 60.8% | 1 | e |
| 60.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (*.f64 v e) #s(literal -1 binary64) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v)) e)) |
3 calls:
| 4.0ms | e |
| 3.0ms | v |
| 3.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.7% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 59.7% | 1 | v |
| 59.7% | 1 | e |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (* (* v e) -1) v) (*.f64 (neg.f64 e) v))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) #s(approx (+ (* (neg e) v) v) (*.f64 (neg.f64 e) v))) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e)) |
3 calls:
| 7.0ms | v |
| 2.0ms | e |
| 2.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.0% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 59.0% | 1 | v |
| 59.0% | 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 (/ v (+ 1 e))) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v)) |
3 calls:
| 1.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 1.0ms | e |
| 1.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.9% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 4.9% | 1 | v |
| 4.9% | 1 | e |
Compiled 13 to 13 computations (0% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 7.241666598750955e-28 | 1.843665350961156e-27 |
| 2.0ms | 32× | 0 | valid |
Compiled 84 to 70 computations (16.7% saved)
adjust: 0.0ms (0% of total)ival-cos: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)ival-mult!: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | fuel |
Compiled 227 to 69 computations (69.6% saved)
(negabs v)
Compiled 930 to 452 computations (51.4% saved)
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